Suppose CAPM is true. You are considering investing in an equally weighted portfolio of two stocks, A and B. The betas of these stocks to the market factor are 1.10 and 0.80, respectively. The total return volatilities of stocks A and B are σA=0.20 and σB=0.18, and the standard deviation of the factor’s return is 0.15. 1.b. What is the portfolio’s systematic risk (stated as a variance)? 1.c. What is your portfolio’s total risk (stated as a variance), assuming the idiosyncratic risks of the stocks A and B are uncorrelated? Answer: 1a) 0.95 1b) systematic risk 0.0203 1c) total risk 0.0181 Can anyone help to double confirm the answers? plus question part c seems to be wrong but I don't know why.
Suppose CAPM is true. You are considering investing in an equally weighted portfolio of two stocks, A and B. The betas of these stocks to the market factor are 1.10 and 0.80, respectively. The total return volatilities of stocks A and B are σA=0.20 and σB=0.18, and the standard deviation of the factor’s return is 0.15. 1.b. What is the portfolio’s systematic risk (stated as a variance)? 1.c. What is your portfolio’s total risk (stated as a variance), assuming the idiosyncratic risks of the stocks A and B are uncorrelated? Answer: 1a) 0.95 1b) systematic risk 0.0203 1c) total risk 0.0181 Can anyone help to double confirm the answers? plus question part c seems to be wrong but I don't know why.
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 25P
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Concept explainers
Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
Question
Suppose CAPM is true. You are considering investing in an equally weighted
portfolio of two stocks, A and B. The betas of these stocks to the market factor are
1.10 and 0.80, respectively. The total return volatilities of stocks A and B are
σA=0.20 and σB=0.18, and the standard deviation of the factor’s return is 0.15.
1.b. What is the portfolio’s systematic risk (stated as a variance)?
1.c. What is your portfolio’s total risk (stated as a variance), assuming the
idiosyncratic risks of the stocks A and B are uncorrelated?
Answer:
1a) 0.95
1b) systematic risk 0.0203
1c) total risk 0.0181
Can anyone help to double confirm the answers? plus question part c seems to be wrong but I don't know why.
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