7. The standard deviation of stock A is 0.25 and the standard deviation of stock B is 0.30. The covariance between A and B is 0.0225. You create a portfolio with a weight of 0.75 in A and 0.25 in B. What is the standard deviation of your portfolio?
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- The covariance between stocks A and B is 0.0014, the standard deviation of stock A is 0.032, and the standard deviation of stock B is 0.044. Which of the following is the most appropriate to depict the risk-return characteristics of a portfolio consisting of only stocks A and B, and explain why?(b) Assume that the covariance between Stock X and Stock Y is -0.005. Calculate the expected rate of return, variance and standard deviation of Jenny’s portfolio. {Hint: you can express your answers for the variance and standard deviation in decimals or percentage form:• For decimals, the covariance in your equation should be -0.005• For percentage, the covariance in your equation should be -50%2(= -50/10000)]Which statement is correct? The collection of all portfolios that minimize variance for varying levels of expected return is called the efficient frontier. The mean-variance frontier is the top-half of the efficient frontier. The part of efficient frontier with the highest expected return for a given level of variance is called the mean- variance frontier. The collection of all portfolios out of risky asset that minimize variance for varying levels of expected return is shaped like a hyperbola.
- (a) Calculate the expected rate of return, variance and standard deviation of Stock X & Stock Y. (b) Assume that the covariance between Stock X and Stock Y is -0.005. Calculate the expected rate of return, variance and standard deviation of Jenny’s portfolio. {Hint: you can express your answers for the variance and standard deviation in decimals or percentage form:• For decimals, the covariance in your equation should be -0.005• For percentage, the covariance in your equation should be -50%2(= -50/10000)] (c) Explain why, in general, the portfolio risk is lower than the weighted average of individual stocks’ risk. (d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates ofreturn of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.Assume that the covariance between Stock A and Stock B is -28%^2 (0.0028). Compute the expected rate of return and variance of rate of return of Donald’s portfolio.The index model for stock A has been estimated with the following result: RA = 0.01 + 0.9RM + eA. If σM = 0.25 and R2A = 0.25, the standard deviation of return of stock A is:
- Given: Calculate the expected returns and expected standard deviations of a two-stock portfolio having a correlation coefficient of 0.70 under the following conditions a. w1 = 1.00 b. w1 = 0.75 c. w1 = 0.50 d. w1 = 0.25 e. w1 = 0.05 Plot the results on a return-risk graph. Without calculations, draw in what the curve would look like first if the correlation coefficient had been 0.00 and then if it had been −0.70.A portfolio is comprised of equal weights of two stocks labeled Stock X and Stock Y. The covariance between Stock X and Stock Y is 0.10. The standard deviation of Stock X is 0.50, and the standard deviation of Stock Y is 0.50. Which of the following comes closest to the correlation coefficient between Stock X and Stock Y? Select one: a. 0.60 b. 0.50 c. 1.00 d. 0.00 e. 0.40An investiment portfolio consists of two securities, X and Y. The weight of X is 30%. Asset X's expected return is 15% and the standard deviation is 28%. Asset Y's expected return is 23% and the standard deviation is 33%. Assume the correlation coefficient between X and Y is 0.37. A. Calcualte the expected return of the portfolio. B. Calculate the standard deviation of the portfolio return. C. Suppose now the investor decides to add some risk free assets into this portfolio. The new weights of X, Y and risk free assets are 0.21, 0.49 and 0.30. What is the standard deviation of the new portfolio?
- he covariance between stocks A and B is 0.0014, standard deviation of stock A is 0.032, and standard deviation of stock B is 0.044. Which of the following is the most appropriate to depict the risk-return characteristics of a portfolio consisting of only stocks ASuppose 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.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.