Question

In: Finance

company A has a market value of debt equal to 50m and value of equity 50m....

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)

Solutions

Expert Solution

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.

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