An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 0.14 and a standard deviation of return of 0.18. Stock B has an expected return of 0.15 and a standard deviation of return of 0.23. The correlation coefficient between the returns of A and B is 0.67. The risk-free rate of return is 0.11. The proportion of the optimal risky portfolio that should be invested in stock A is Please answer in decimal terms rounded to four decimal places.
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- Consider a risky portfolio, A, with an expected rate of return of 0.15 and a standard deviation of 0.15, that lies on a given indifference curve. Which one of the following portfolios might lie on the same indifference curve? A. E(r) = 0.15; Standard deviation = 0.20 B. E(r) = 0.20; Standard deviation = 0.15 C. E(r) = 0.10; Standard deviation = 0.10 D. E(r) = 0.10; Standard deviation = 0.20 E. E(r) = 0.15; Standard deviation = 0.10Suppose 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.An investor wishes to contruct a portfolio consisting of security 1 and security 2. the expected return on the two securities are E(R1) = 0.08 And E(R2) = 0.12 and the standard deviation 1 = 0.04 and Standard deviation 2 = 0.06. the correlation coefficient between thier returns is P1,2 = -0.5. Investor is free to choose the investment proportions W1 And W2 only to requirment that w1+w2=1 and both w1 and w2 are positive.There is no limit to the number of portfolios that meet thses requirements, since there is no limit to the number of proportions that sum to 1. Therefore a representative selection of values is considered w1: 0, 0.2, 0.4, 0.6, 0.8, and 1
- Consider a risky portfolio, A, with an expected rate of return of 0.16 and a standard deviation of 0.25, that lies on a given indifference curve. Which one of the following portfolios is not likely to lie on the same indifference curve for a risk-averse investor with a mean- variance utility function? a. Expected return = 0.20; Standard deviation = 0.15 b. Expected return = 0.10; Standard deviation = 0.20 Expected return= 0.15; Standard deviation = 0.20 Expected return = 0.12; Standard deviation = 0.10 Expected return = 0.10; Standard deviation = 0.10 C. d. e.An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 17% and a standard deviation of return of 28%. Stock B has an expected return of 15% and a standard deviation of return of 15%. The correlation coefficient between the returns of A and B is 0.8. The risk-free rate of return is 3.2%. What is the expected return on the optimal risky portfolio? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 21% and a standard deviation of return of 39%. Stock B has an expected return of 14% and a standard deviation of return of 20%. The correlation coefficient between the returns of A and B is .4. The risk-free rate of return is 5%. what is the standard deviation of returns on the optimal risky portfolio is ____?
- The following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 0.4 0.45 o (R) E[R] Figure (1) shows an investor with a conservative investment behavior. 0.3 0.25 0.2 0.15 0.1 0.05 0 0 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. 0.05 0.1 0.15 In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. O In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. Figure 2 0.2 0.25 o(R) 0.3 0.35 0.4 0.45The following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 o(R) 0.4 0.45 [H]Z 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. Figure (1) shows an investor with a conservative investment behavior. In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. 0.15 Figure 2 0.2 0.25 o (R) 0.3 0.35 0.4 0.45An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 21% and a standard deviation of return of 39%. Stock B has an expected return of 14% and a standard deviation of return of 20%. The correlation coefficient between the returns of A and B is .4. The risk-free rate of return is 5%. The expected return on the optimal risky portfolio is approximately ____?____. Using the risk and return profile calculated in Q10 and Q11 (standard deviation of the optimal risky portfolio is 21.4%), what is the percentage weight that you need to invest in the optimal risky portfolio if you want your complete portfolio to achieve 12% return? ___?___
- If the market portfolio has a required return of 0.12 and a standard deviation of 0.40, and the riskfreerate is 0.04, what is the slope of the security market line?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.The risk free rate is 3%. The optimal risky portfolio has an expected return of 9% and standarddeviation of 20%. Answer the following questions.a) Assume the utility function of an investor is U = E(r) − 0.5Aσ2. What is condition ofA to make the investors prefer the optimal risky portfolio than the risk free asset? b) Assume the utility function of an investor is U = E(r) − 2.5σ2. What is the expectedreturn and standard deviation of the investor’s optimal complete portfolio?