A company is 40% financed by risk-free debt. The interest rate is 10%, the expected market risk premium is 8%, and the beta of the company’s common stock is .5. What is the company cost of capital? What is the after-tax WACC, assuming that the company pays tax at a 35% rate?

Respuesta :

Answer:

12.4% ; 11%

Explanation:

The computation is shown below:

Cost of capital = (Weightage of debt × cost of debt) + (Weightage of  common stock) × (cost of common stock)

= 0.40 × 0.10 + 0.60 × 0.14

= 0.04 + 0.084

= 12.4%

Now the After tax WACC is

= Weightage of debt × cost of debt × ( 1 - tax rate) + (Weightage of  common stock) × (cost of common stock)

= {0.40 × 0.10 × (1 - 0.35)} + {0.60 × 0.14}

= 0.026 + 0.084

= 11%

The weightage of equity is

= 100 - 40%

= 0.60

Answer:

12.4%, 11%

Explanation:

Weighed average cost of capital (WACC) represents total cost of capital which is the summation of individual cost of capital of different sources, calculated as the proportion (weights) in total capital structure multiplied by the respective cost of capital.

Risk free rate of interest = 10%

Market risk premium = 8%

Cost of debt = [tex]I\ (1\ -\ t)[/tex] = 10 (1 - .35) = 6.5%

Cost of Equity = [tex]R_{f}\ +\ B\ (Risk\ Premium)[/tex]

where, [tex]R_{f} =[/tex] Risk Free Rate Of Interest

          Risk Premium = [tex]R_{m}\ -\ R_{f}[/tex] = 8%

          B = Beta or degree of sensitivity of security return with respect to market return

Cost Of Equity = 10 + 0.5 × 8 = 14%

Cost of capital before considering taxes = 10 × 0.4 + 14 × 0.6 = 4 + 8.4 = 12.4%

                   (1)                           (2)                        

Source     Weights             Cost of Capital     (1) ×  (2)

Debt            0.4                       6.5                        2.6%

Equity          0.6                       14                         8.4%      

    Weighted Average Cost Of Capital            11 %