Stock A has a beta of 0.8, Stock B has a beta of 1.0, and Stock C has a beta of 1.2. Portfolio P has equal amounts invested in each of the three stocks. Each of the stocks has a standard deviation of 25%. The returns on the three stocks are independent of one another (i.e., the correlation coefficients all equal zero). Assume that there is an increase in the market risk premium, but the risk-free rate remains unchanged. Which of the following statements is correct? Answers: a-The required returns on all three stocks will increase by the amount of the increase in the market risk premium. b-The required return on Stock A will increase by less than the increase in the market risk premium, while the required return on Stock C will increase by more than the increase in the market risk premium. c-The required return of all stocks will remain unchanged since there was no change in their betas. d-The required return on the average stock will remain unchanged, but the returns of riskier stocks (such as Stock C) will decrease while the returns on safer stocks (such as Stock A) will increase. e-The required return on the average stock will remain unchanged, but the returns of riskier stocks (such as Stock C) will increase while the returns of safer stocks (such as Stock A) will decrease.

Question

08-10-2019
Business

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Stock A has a beta of 0.8, Stock B has a beta of 1.0, and Stock C has a beta of 1.2. Portfolio P has equal amounts invested in each of the three stocks. Each of the stocks has a standard deviation of 25%. The returns on the three stocks are independent of one another (i.e., the correlation coefficients all equal zero). Assume that there is an increase in the market risk premium, but the risk-free rate remains unchanged. Which of the following statements is correct? Answers: a-The required returns on all three stocks will increase by the amount of the increase in the market risk premium. b-The required return on Stock A will increase by less than the increase in the market risk premium, while the required return on Stock C will increase by more than the increase in the market risk premium. c-The required return of all stocks will remain unchanged since there was no change in their betas. d-The required return on the average stock will remain unchanged, but the returns of riskier stocks (such as Stock C) will decrease while the returns on safer stocks (such as Stock A) will increase. e-The required return on the average stock will remain unchanged, but the returns of riskier stocks (such as Stock C) will increase while the returns of safer stocks (such as Stock A) will decrease.

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stokholm stokholm · Answer 1 · 2019-10-14T14:19:10+02:00

Answer:

b-The required return on Stock A will increase by less than the increase in the market risk premium, while the required return on Stock C will increase by more than the increase in the market risk premium.

Explanation:

Beta reflects the risk associated, as the beta is low, the expected risk is also low, accordingly return expected is also keeping all things constant.

When Beta is less than 1 it means the returns will be lower than market, accordingly for Stock A the return will increase but slower than the market risk.

Whereas, the Beta is more than 1 of Stock B and accordingly the risk is more but return will grow even faster as the risk volatility is high than the market risk.