Edit question A firm has determined its optimal capital structure which is composed of the following sources and target market value proportions. Please show the formula and work. - Debt: The firm can sell a 12-year, $1,000 par value, 7 percent bond for $960. A flotation cost of 2 percent of the face value would be required in addition to the discount of $40. - Preferred Stock: The firm has determined it can issue preferred stock at $75 per share par value. The stock will pay a $10 annual dividend. The cost of issuing and selling the stock is $3 per share. - Common Stock: A firm\'s common stock is currently selling for $18 per share. The dividend expected to be paid at the end of the coming year is $1.74. Its dividend payments have been growing at a constant rate for the last four years. Four years ago, the dividend was $1.50. It is expected that to sell, a new common stock issue must be underpriced $1 per share in floatation costs. Additionally, the firm\'s marginal tax rate is 40 percent. Please show the formula and the work for the below: 33) The firm\'s before-tax cost of debt is ________. 34) The firm\'s after-tax cost of debt is ________. 35) The firm\'s cost of preferred stock is ________. 36) The firm\'s cost of a new issue of common stock is ________. ) 37) The firm\'s cost of retained earnings is ________. 38) The weighted average cost of capital up to the point when retained earnings are exhausted is ________.Source of CapitalTarget market ProportionsLong-term debt20%Preferred Stock10Common stock equity70 Solution 33) PV = -(960 - 2%*1000) = -940; FV = 1000; n = 12; PMT = 70; CPT I/R, gives 7.79% 34) After tax cost of debt = 7.79%(1-0.40) = 4.67% 35). Cost of Preferred Stock(Kp) = Annual Dividend/(Current Market Price - Flotation Cost) = $10/($75 - $3) = $10/$72 = 13.89% 36). Growth Rate = (dividend in year 5/dividend in year 0)1/n - 1 = (1.74/1.50)1/5- 1 = 3.01% cost of a new issue of common stock = [D1/(P0-flotation cost)] + g = [1.74/(18 - 1)] + 0.0301 = 0.1024 +0.0301 = 13.25% 37). cost of retained earnings = [D1/P0] + g = [1.74/18] + 0.0301 = 0.0967 + 0.0301 = 12.67% 38). wacc = (weight of debt x after tax cost of debt) + (weight of preferred stock x cost of preferred stock) + (weight of common stock x cost of retained earnings) = (0.2 x 4.67%) + (0.1 x 13.89%) + (0.7 x 12.67%) = 11.19%.