What is the composition (weights) of the portfolio? (Round answer to 4 decimal places, e.g. 14.5125%.) Weight in Encor % Weight in Maestro What is the portfolio standard deviation? (Round intermediate calculations to 7 decimal places, e.g. 0.5125129 and the final answer to 4 decimal places, e.g. 14.5125%) Standard deviation % de %
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![You wish to combine two stocks, Encor and Maestro, into a portfolio with an expected return
of 16.9 percent. The expected return of Encor is 2.9 percent with a standard deviation of 1
percent. The expected return of Maestro is 26.8 percent with a standard deviation of 10.9
percent. The correlation between the two stocks is 0.4.
What is the composition (weights) of the portfolio? (Round answer to 4 decimal places, e.g.
14.5125%.)
Weight in Encor
%
Weight in Maestro
%
What is the portfolio standard deviation? (Round intermediate calculations to 7 decimal
places, e.g. 0.5125129 and the final answer to 4 decimal places, e.g. 14.5125%.)
Standard deviation
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- Calculate the standard deviation of a portfolio with 0.24 invested in Asset A, 0.33 invested in Asset B, and the rest invested in Asset C. Express your answer as a decimal with four digits after the decimal point (e.g., 0.1234, not 12,34%). Std Dev(A) = 0.43, Std Devirg) = 0.67. Std Dev(rc)=0.53 Correlation(A) =-0.24, Correlation(Arc)-0.32, Correlationirere)=0.09 Type your answer.....2. (a) You have a two-asset portfolio that comprises Stock PY and Stock NY with the following information: Proportion of Stock PY in the portfolio Proportion of Stock NY in the portfolio Standard deviation of Stock PY's returns Standard deviation of Stock NY's returns 48% 52% 3% 5% Calculate the standard deviation if the correlation coefficient of returns between both stocks is 0.15.Suppose the expected returns and standard deviations of Stocks A and B are E(RA) = .092, E(RB) = 152, OA = .362, and og = .622. Calculate the expected return of a portfolio that is composed of 37 percent A and а-1. 63 percent B when the correlation between the returns on A and B is .52. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio that is composed of 37 percent A and 63 percent B when the correlation coefficient between the returns on A and B is .52. а-2. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio with the same portfolio weights as in part (a) when the correlation coefficient between the returns on A and B is -.52. (Do b. not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
- Given the returns and probabilities for the three possible states listed below, calculate the covariance between the returns of Stock A and Stock B. For convenience, assume that the expected returns of Stock A and Stock B are 8.10 percent and 11.60 percent, respectively. (Round answer to 4 decimal places, e.g. 0.0768.) Good OK Poor Covariance Probability 0.22 0.60 0.18 Return on Stock A 0.30 0.10 -0.25 Return on Stock B 0.50 0.10 -0.30The following portfolios are being considered for investment. During the period under consideration, RFR = 0.07. Portfolio Return Beta P 0.15 1.00 0.05 Q 0.09 0.50 0.03 R. 0.21 1.30 0.10 0.18 1.20 0.06 Market 0.12 1.00 0.04 a. Compute the Sharpe measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Sharpe measure P Q R Market b. Compute the Treynor measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Treynor measure P Q R Market c. Rank the portfolios using each measure, explaining the cause for any differences you find in the rankings. Portfolio Rank (Sharpe measure) Rank (Treynor measure) P |-Select- v |-Select- v Q -Select- v -Select- V R. -Select- V -Select- v -Select- v -Select- v Market -Select- v -Select- v -Select- v is poorly diversified since it has a high ranking based on the -Select- but a much lower ranking with the -Select-Suppose the expected returns and standard deviations of Stocks A and B are E(RA) = .092, E(RB) = 152, đA = .362, and Og = .622. %3D Calculate the expected return of a portfolio that is composed of 37 percent A and 63 percent B when the correlation between the returns on A and B is .52. (Do not a-1. round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio that is composed of 37 percent A and 63 percent B when the correlation coefficient between the returns on A and B is .52. а-2. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio with the same portfolio weights as in h part (a) when the correlation coefficient between the returns on A and B is -.52. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a-1.…
- (4) Please answer the following short questions with what you have learned. There is a portfolio of two assets - 30% investment in Stock A and 70% investment in Stock B. The correlation of returns between Stock A and Stock B is 0.50. The covariance between these two stocks is 0.0043, and the standard deviation of the return of Stock B is 26%. Requirements: (a) Please calculate the standard deviation of the return of Stock A. (b) Please calculate the standard deviation of the return of portfolio. (c) If we increase more and more different stocks in the portfolio, will it always decrease the risk (standard deviation) of the return of the portfolio? Please explain your answer in detail.Standard deviation of the portfolio with stock A is 22.86 %. (Round to two decimal places.) Standard deviation of the portfolio with stock B is 23.47 %. (Round to two decimal places.) Which stock should you add and why? (Select the best choice below.) A. Add A because the portfolio is less risky when A is added. B. Add B because the portfolio is less risky when B is added. OC. Add either one because both portfolios are equally risky.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. 0.40
- Asset A has a standard deviation of 0.17, and asset B has a standard deviation of 0.52. Assets A and B have a correlation coefficient of 0.44. What is the standard deviation of a portfolio consisting with a weight of 0.40 in asset A, a weight of 0.24 in asset B, and the remainder invested in a risk-free asset? Give your answer to four decimal places.(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)]Suppose that there exist two securities (A and B) with annual expected returns equal to ra = 3% and rg = 5% and standard deviations equal to o4 = 7% and oB = 10% respectively. The correlation coefficient between the returns of these securities is p = -0.5. What is the expected return and the standard deviation of an equally weighted portfolio consisting of the securities A and B? Describe every step of your calculations in detail. What is the expected return and the standard deviation of a portfolio consisting of the securities A and B, if the relevant weights are chosen to minimize the risk of the portfolio? Present the minimisation problem and describe every step of your calculations in detail. How could an investor maximize diversification benefits? Critically discuss and explain in detail.
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