please show work

M A C E F G 4 30 points Optimal Capital Structure with Hamada Roberts Engineering and Associates (REA) is considering a change in its capital structure. 5 -REA currently has the percent debt and cost of debt listed to the right. 6 -Its current stock price and shares outstanding are listed to the right. 7 -REA is a zero-growth firm and pays out all of its earnings as dividends. -The firm's EBIT and tax rate are listed to the right. 8 9 -The market risk premium and risk-free rate are listed to the right. 10 11 -REA is considering increasing its debt level to a capital structure with the new weight of debt listed to the right. -It will repurchase shares with the extra money that it borrows. 12 -REA will have to retire the old debt in order issue new debt and the rate on the new debt will be the amount listed on the right. 13 14 -REA has a beta listed right. I 15 16 a. What is REA's unlevered beta? Use the market value D/S (which is the same as wD/wS when unlevering). (5 points) 17 18 b. What are REA's new beta and cost of equity if it has the new weight of debt on the right? (10 points) 19 c. Calculate the new after-tax cost of debt. (5 points) 20 d. What is BEA's WACC with the new weight of debt? (5 points) 22 23 e. What is the total value of the firm? (5 points) 24 25 Please show work and answer questions completely to receive full credit. 26 1 21 B D N WD = weight of current debt ro= current cost of debt REA stock price REA shares outstanding REA EBIT T = tax rate TM-TRF-Market risk premium TRF = risk-free rate IND= cost of new debt WND = weight of new debt b = beta $ 30% 8% 41.00 2,000,000.00 13,933,000.00 39% 4.50% 6.00% 9.00% 40% for part b only 1.26 28 29 30 31 a 32 33 b new beta 34 35 36 C 37 38 d WACC 39 40 e 41 Unlevered beta cost of equity after-tax cost of debt Total value of firm aka market capital