North Corp. EBIT is $200. It has a debt-equity ratio of 25% and a WACC of 16%. Debt
interest is 12%. Without taxes, what is the value of the equity? What is the value of the
firm? What is the cost of equity capital?
we will find it using the formulas:
"DFL=\\frac{EBIT}{EBIT-Interests}"
DFL=0.25
"0.25=\\frac{200}{200-Interests}"
Interests=-600
"I=debt\\times r"
"debt=\\frac{I}{r}=\\frac{-600}{0.12}=-5000"
"debt-equity ratio=\\frac{L}{E}"
L=5000
"0.25=\\frac{5000}{E}"
E=20 000
"value of the firm=E+L=20 000+5000=25000"
"WACC=Ks\\times Ws+Kd\\times Wd"
"0.16=Ks\\times \\frac{20 000}{25 000}+0.12\\times \\frac{5000}{25000}"
"0.16=Ks\\times 0.8+0.12\\times0.2"
"0.136=Ks\\times 0.8"
Ks=0.17 or 17%
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