In: Finance
company A has a market value of debt equal to 50m and value of equity 50m. assume the SML holds and has a risk premium of 6% and rf = 5%. company A has a beta of 0.8. The interest paid on debt is 15% . calculate the WACC (Appropriate discount rate)
Solution: | ||
WACC of the company is 12.40% | ||
Working Notes: | ||
Calculation of WACC | ||
First | The cost of debt is 15%, | |
Tax rate = not given = 0% (assumed) | ||
After tax cost of debt (Kd) = Cost of debt x (1- tax rate) | ||
After tax cost of debt (Kd) = 15% x (1- 0%) | ||
After tax cost of debt (Kd) = 15% | ||
2nd | Now we calculate Cost of equity using SML Method | |
Cost of common equity (Ke)= rf + (rm - rf) x B | ||
rf = risk free rate = 5% | ||
(rm - rf) = market risk premium = 6% | ||
Beta = 0.80 | ||
Cost of common equity (Ke)= rf + (rm - rf) x B | ||
Cost of common equity (Ke)= 5% + 6% x 0.80 | ||
Cost of common equity (Ke)= 9.80% | ||
WACC= Ke x E/V + Kd x D/V | ||
Debt =D = 50m | ||
Equity =E = 50m | ||
V= market value of the company= E+D= 50+50=100m | ||
E/V =50/100= 0.50 | ||
D/V =50/100= 0.50 | ||
WACC= Ke x E/V + Kd x D/V | ||
WACC= 9.80% x 0.50 + 15% x 0.50 | ||
WACC=12.40% | ||
Please feel free to ask if anything about above solution in comment section of the question. |