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# Answer to Question #190892 in Finance for josh

Question #190892

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?

1
2021-05-09T13:16:09-0400

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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