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- Security A has an expected rate of return of 6%, a standard deviation of returns of 30%, a correlation coefficient with the market of −0.25, and a beta coefficient of −0.5. Security B has an expected return of 11%, a standard deviation of returns of 10%, a correlation with the market of 0.75, and a beta coefficient of 0.5. Which security is more risky? Why?Security A has an expected return of 7%, a standard deviation of returns of 35%, a correlation coefficient with the market of −0.3, and a beta coefficient of −1.5. Security B has an expected return of 12%, a standard deviation of returns of 10%, a correlation with the market of 0.7, and a beta coefficient of 1.0. Which security is riskier? Why?You have observed the following returns over time: Assume that the risk-free rate is 6% and the market risk premium is 5%. What are the betas of Stocks X and Y? What are the required rates of return on Stocks X and Y? What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?
- Assume an economy in which there are three securities: Stock A with rA = 10% and σA = 10%; Stock B with rB = 15% and σB = 20%; and a riskless asset with rRF = 7%. Stocks A and B are uncorrelated (rAB = 0). Which of the following statements is most CORRECT? 1. b. The expected return on the investor’s portfolio will probably have an expected return that is somewhat below 10% and a standard deviation (SD) of approximately 10%. 2. d. The investor’s risk/return indifference curve will be tangent to the CML at a point where the expected return is in the range of 7% to 10%. 3. e. Since the two stocks have a zero correlation coefficient, the investor can form a riskless portfolio whose expected return is in the range of 10% to 15%. 4. a. The expected return on the investor’s portfolio will probably have an expected return that is somewhat above 15% and a standard deviation (SD) of approximately 20%. 5.…Consider a T-bill with a rate of return of 5% and the following risky securities:Security A: E(r) = 0.15; Variance = 0.04Security B: E(r) = 0.10; Variance = 0.0225Security C: E(r) = 0.12; Variance = 0.01Security D: E(r) = 0.13; Variance = 0.0625From which set of portfolios, formed with the T-bill and any one of the four risky securities, would a risk-averse investor always choose his portfolio? A. Cannot be determined. B. The set of portfolios formed with the T-bill and security B. C. The set of portfolios formed with the T-bill and security C. D. The set of portfolios formed with the T-bill and security D. E. The set of portfolios formed with the T-bill and security A.Consider the following two scenarios for the economy and the expected returns in each scenario for the market portfolio, an aggressive stock A, and a defensive stock D. Rate of Return Scenario Market AggressiveStock A DefensiveStock D Bust –8 % –13 % –6 % Boom 26 35 19 Required:a. Find the beta of each stock.b. If each scenario is equally likely, find the expected rate of return on the market portfolio and on each stock.c. If the T-bill rate is 5%, what does the CAPM say about the fair expected rate of return on the two stocks?d. Which stock seems to be a better buy on the basis of your answers to (a) through (c)?
- Consider the following two scenarios for the economy and the expected returns in each scenario for the market portfolio, an aggressive stock A, and a defensive stock D. Scenario Rate of Return Market Aggressive Stock A Defensive Stock D Bust −7% −9% −5% Boom 29 35 20 Required: Find the beta of each stock. If each scenario is equally likely, find the expected rate of return on the market portfolio and on each stock. If the T-bill rate is 5%, what does the CAPM say about the fair expected rate of return on the two stocks? Which stock seems to be a better buy on the basis of your answers to (a) through (c)?The expected return and standard deviation of Stock A are 12% and 24%, respectively. The expected return and standard deviation of Stock B are 5% and 19%, respectively. The correlation between the two stocks is 0.4. The risk-free rate in the economy is 1%. A. What is the Sharpe ratio for Stock A and Stock B? Show your calculation steps briefly and clearly. B. Calculate the optimal risky portfolio P*. You do not need to show your calculation steps for this subquestion. C. Now suppose that the correlation between the two stocks is -0.2 (instead of 0.4). Re-calculate the optimal risky portfolio P* and compare it to your answer in Part B. What do you observe? You do not need to show your calculation steps for this subquestion. D. Using the results above, briefly explain why investors might still consider investing in stocks with a (relatively) low Sharpe ratio as a part of their portfolio.Consider the following two scenarios for the economy and the expected returns in each scenario for the market portfolio, an aggressive stock A, and a defensive stock D. Scenario Rate of Return Market Aggressive Stock A Defensive Stock D Bust −5% −7%−3% Boom 27 35 19 Required: Find the beta of each stock. If each scenario is equally likely, find the expected rate of return on the market portfolio and on each stock. If the T-bill rate is 4%, what does the CAPM say about the fair expected rate of return on the two stocks? Which stock seems to be a better buy on the basis of your answers to (a) through (c)? Please answer fast I give upvote
- We know that two stocks A and B are correctly priced by the CAPM model. For A, the expected return is 12%, and the beta is 1.5; for B, the expected return is 6%, and the beta is 0.5. Based on this information, what is the risk free rate and expected market return? Select one: A. 3%; 9% B. 3%; 6% C. 2%; 8% D. 4%; 10%give me step by step solution In the wonderland country, the return on the market portfolio is 14,45%, and standard deviation of market return is 12,1% and the risk free return is 2,65%. You may form a portfolio with the securities X, Y and Z with the following characteristics: parameters security x security y security z beta 0.96 1.07 1,95 total risk 38.5% 25.4% 23.8% protifolio weight 25% 40% 35% Which security has the lowest total risk? b) If the market return decrease 0,85%, which is the expected impact in security Y return? c) Determine the expected beta and expected return of the portfolio with weights as represented in the table above. d) Determine the unsystematic risk associated to security XConsider the following two scenarios for the economy and the expected returns in each scenario for the market portfolio, an aggressive stock A, and a defensive stock D. Scenario Rate of Return Market Aggressive Stock A Defensive Stock D Bust −7% −10% −5% Boom 19 25 15 Find the beta of each stock. If each scenario is equally likely, find the expected rate of return on the market portfolio and on each stock. If the T-bill rate is 4%, what does the CAPM say about the fair expected rate of return on the two stocks? Which stock seems to be a better buy on the basis of your answers to (a) through (c)?