Suppose that the index model for stocks A and B is estimated from excess returns with the following results: R₁ = 2.00% + 1.10RM +eA RB = -0.60% +0.90RM + eB The R-squared of the estimate for stock A is 0.35 and the R-squared of the estimate for stock B is 0.40. The standard deviation of the market is OM = 30%. Assume you create portfolio P with weights of 120% in A and -20% in B. These weights mean that you go long stock A and short stock B.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
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Chapter8: Analysis Of Risk And Return
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Problem 2.
Suppose that the index model for stocks A and B is estimated from excess returns with the following results:
RA = 2.00% + 1.10RM + A
RB = -0.60% + 0.90RM + eB
The R-squared of the estimate for stock A is 0.35 and the R-squared of the estimate for stock B is 0.40. The
standard deviation of the market is OM = 30%.
Assume you create portfolio P with weights of 120% in A and -20% in B. These weights mean that you go long stock
A and short stock B.
a)
What is the standard deviation of the portfolio? [Hint: R-squared is the variance explained by the market
risk B²o divided by the variance in the stock o}.]
b)
What is the beta of the portfolio?
c)
What is the firm-specific variance of the portfolio? (Round to 3 decimals.)
Transcribed Image Text:Problem 2. Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.00% + 1.10RM + A RB = -0.60% + 0.90RM + eB The R-squared of the estimate for stock A is 0.35 and the R-squared of the estimate for stock B is 0.40. The standard deviation of the market is OM = 30%. Assume you create portfolio P with weights of 120% in A and -20% in B. These weights mean that you go long stock A and short stock B. a) What is the standard deviation of the portfolio? [Hint: R-squared is the variance explained by the market risk B²o divided by the variance in the stock o}.] b) What is the beta of the portfolio? c) What is the firm-specific variance of the portfolio? (Round to 3 decimals.)
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