Your portfolio consists of two stocks. Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return 6% 22% Aggressive Stock -3% 40% Defensive Stock 8% 11% The probability of the pessimistic (optimistic) scenario is 90% (10%) and the risk-free rate is 3%. What is the equation of SML and should you increase or decrease the weights of these two stocks in your portfolio? Please keep 2 decimals in your answer.
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- Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return 6% 22 Aggressive Stock -3% 35 Defensive Stock 4% 12 Required: a. What are the betas of the two stocks? b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely? e. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the defensive firm's stock if market return is equally likely to be 6% or 22% ? Also, assume a T-Bill rate of 4%. Complete this question by entering your answers in the tabs below. Required A Required B Required E What are the betas of the two stocks? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Aggressive stock Defensive stock BetaConsider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return 6% 22 Aggressive Stock -3% 35 Defensive Stock 4% 12 Required: a. What are the betas of the two stocks? b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely? e. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the defensive firm's stock if market return is equally likely to be 6% or 22% ? Also, assume a T-Bill rate of 4%.Suppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: Stock A B Expected Return 9% 19 Correlation = -1 Standard Deviation 5% 12 Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) (Do not round intermediate calculations. Round your answer to 3 decimal places.) Risk-free rate %
- 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.Suppose you are given stocks A and B. Stock A has an expected return of 11% and a standard deviation of 4%. Stock B has an expected return of 21% and a standard deviation of 10%. The correlation between them is -1. Suppose it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) (Round answer to 3 decimal places.)Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Stock Expected Return Standard Deviation A 12% 40% B 21% 60% Correlation = −1 Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a “synthetic” risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium rƒ be greater than rate of return? multiple choice Yes No
- 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.…Suppose the expected return for the market portfolio and risk-free rate are 13 percent and 3 percent respectively. Stocks A, B, and C have Treynor measures of 0.24, 0.16, and 0.11, respectively. Based on this information, an investor should ______?Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return 7% 23 Aggressive Stock -4% 37 Defensive Stock Hurdle rate 4% Required: a. What are the betas of the two stocks? 11 b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely? e. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the defensive firm's stock if market return is equally likely to be 7% or 23% ? Also, assume a T-Bill rate of 4%. Complete this question by entering your answers in the tabs below. Required A Required B What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the defensive firm's stock if market return is equally likely to be 7% or 23% ? Also, assume a T-Bill rate of 4%. Note: Do not round intermediate…
- Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Stock Expected Return Standard Deviation A 8% 55% B 4% 45% Correlation = −1 Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a “synthetic” risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium rƒ be greater than rate of return?Suppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: Expected Return 11% 17 Correlation = -1 Stock A B Standard Deviation 6% 9 Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) Note: Do not round intermediate calculations. Round your answer to 3 decimal places. Risk-free rateSuppose you have a portfolio that has $290 in stock A with a beta of 1.04, $1, 160 in stock B with a beta of1.34, and $870 in the risk-free asset. You have another $580 to invest. You wish to achieve a beta for yourwhole portfolio to be the same as the market beta. What is the beta of the added security?