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. | ||