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You Are a Financial Analyst for General Motors and Have

Question 48

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You are a financial analyst for General Motors and have been asked to evaluate the effect on risk of taking over RandomTech,an electronics firm.You have collected the following data for both firms:
 GM  RandomTech share price $60$20 number of shares 13.25 million 10 million  beta 1.02.0 standard deviation 20%80%\begin{array} { lcc } &\underline{ \text { GM }} &\underline{ \text { RandomTech} } \\\text { share price } & \$ 60 & \$ 20 \\\text { number of shares } & 13.25 \text { million } & 10 \text { million } \\\text { beta } & 1.0 & 2.0 \\\text { standard deviation } & 20 \% & 80 \%\end{array}

You estimate the correlation of returns between GM and RandomTech to be 0.3.
a. How will taking over RandomTech affect GM's beta?
b. What will the variance of the combined firm be if the takeover is carried through?

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a.
Market value of GM = $60 × ...

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