COST OF EQUITY The cost of equity computation can be carried out using the CAPM model. Cost of Equity = Risk free rate + Beta * Market Risk Premium In the given case, risk free rate = 3.5%, beta = 1.3, market risk premium = 7% Hence, cost of equity = 3.5% + 1.3*7% = 12.6% COST OF DEBT In the given case, the YTM (Yield to Maturity) needs to be determined for the bonds issued by the company. Current price of bond = 97% *1000 = $ 970 Coupon rate = 9% Par value = $ 1000 The YTM would be the discount rate at which the present value of the future cashflows would be $ 970. This is estimated using the table below. Hence, YTM = 9.38%
Post tax cost of debt = 9.38%*(1-0.35) = 6.1% WEIGHT COMPUTATION Market value of equity = Current value of one common stock * Common stock outstanding = 50 * 8.2 million = $ 410 million Market value of debt = Current price of one bond * Outstanding bonds = (97% *1000)* 200,000 = $ 194 million Weight of equity = (410/(410+194))= 0.6788 Weight of debt = (194/(410+194)) = 0.3212 WACC COMPUTATION WACC = Weight of equity * Cost of equity + Weight of debt * After tax cost of debt = 0.6788*12.6% + 0.3212 *6.1% = 10.51%