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Nero Violins has the following capital structure: Beta Total Market Value ($ millions) $ 103 Security Debt Preferred stock Co

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Answer #1

Answer a.

Market Value of Portfolio = Market Value of Debt + Market Value of Preferred Stock + Market Value of Common Stock
Market Value of Portfolio = $103 million + $43 million + $302 million
Market Value of Portfolio = $448 million

Weight of Debt = Market Value of Debt / Market Value of Portfolio
Weight of Debt = $103 million / $448 million
Weight of Debt = 0.22991

Weight of Preferred Stock = Market Value of Preferred Stock / Market Value of Portfolio
Weight of Preferred Stock = $43 million / $448 million
Weight of Preferred Stock = 0.09598

Weight of Common Stock = Market Value of Common Stock / Market Value of Portfolio
Weight of Common Stock = $302 million / $448 million
Weight of Common Stock = 0.67411

Asset Beta = Weight of Debt * Beta of Debt + Weight of Preferred Stock * Beta of Preferred Stock + Weight of Common Stock * Beta of Common Stock
Asset Beta = 0.22991 * 0.000 + 0.09598 * 0.230 + 0.67411 * 1.23
Asset Beta = 0.851

Answer b.

Discount Rate = Risk-free Rate + Asset Beta * Market Risk Premium
Discount Rate = 4.00% + 0.851 * 5.00%
Discount Rate = 8.26%

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