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Century Aluminums Co. has the following amounts of interest-bearing debt and com

ID: 2614040 • Letter: C

Question

Century Aluminums Co. has the following amounts of interest-bearing debt and   common equity capital:

Financing              Dollar           Interest       

                              Source                   Amount        Rate            

                              Short-Term Loan     $350,000      10%            

                               Long-Term Loan     $50,000        18%

                              Equity Capital          $600,000                         

                   

Century Aluminums Co. is in the 30 percent average tax bracket. The firm’s beta is 2.5, inflation rate is 2%, risk free rate is 5% and the market return is 15%. What is the after-tax weighted average cost of capital (WACC) for Century Aluminums Co.?         

Explanation / Answer

COMPONENT COST OF CAPITAL: After tax cost of Short term loan = 10*(1-0.30) = 7.00 After tax cost of Long term loan = 18*(1-0.30) = 12.60 Cost of equity (CAPM) = Risk free rate+beta*(Market return-Risk free rate) = 5+2*(15-5) = 25.00 WACC: WACC is the weighted average of the component cost of capital, the weights being the ratio of each source of capital to the total capital. = 7*3.5/10+12.6*0.5/10+25*6/10 = 18.08