A portfolio is composed of two stocks, A and B. Stock A has a standard deviation of return of 20% while stock B has a standard deviation of return of 10%. The correlation coefficient between the returns on A and B is 0.26. Stock A comprises 37% of the portfolio while stock B comprises the rest. What is the standard deviation of the return on this portfolio? Enter answer in percents, to two decimal places.

A portfolio is composed of two stocks, A and B. Stock A has a standard deviation of return of 20% while stock B has a standard deviation of return of 10%. The correlation coefficient between the returns on A and B is 0.26. Stock A comprises 37% of the portfolio while stock B comprises the rest. What is the standard deviation of the return on this portfolio? Enter answer in percents, to two decimal places.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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.....
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.…
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.
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 -0.30
A portfolio is invested 10 percent in Stock G, 37 percent in Stock J, with remainder in Stock K. The expected returns on these stocks are 10 percent, 10.95 percent, and 15.59 percent, respectively. What is the portfolio's expected return? Answer to two decimals.
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
Percentages need to be entered in decimal format, for instance 3% would be entered as .03. That is the return for stock C by the way Adjust the portfolio to consist of 33.33% Stock A, 33.33% Stock B, and 33.33% Stock C (row 31). How does this change affect the portfolio average rate of return, standard deviation, and coefficient of variation versus when 50% was invested in Stock A and 50% in Stock B? Make some other changes in the percentage of stocks in the portfolio (Row 31), making sure that the percentages add up to 100%. For example, you could enter 25% for Stock A, 25% for Stock B, and 50% for Stock C. Notice that the average rate of return for the portfolio remains constant for each scenario, but the standard deviation changes. Would you prefer to hold a portfolio consisting only of Stocks A and B or a portfolio that also includes Stock C? Why or why not?
A portfolio is invested 24 percent in Stock G, 39 percent in Stock J, and 37 percent in Stock K. The expected returns on these stocks are 10.5 percent, 13 percent, and 18.4 percent, respectively. What is the portfolio's expected return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
What is portfolio A's CAPM beta based on your analysis? Round off your answer to three digits after the decimal points. State your answer as a percentage point as 1.234. Compute the Treynor measure for portfolio B. Round off your answer to three digits after the decimal point. State your answer as 1.234
Using the return data on portfolios A and B provided in the accompanying spreadsheet, compute the return volatility for portfolio A. Round off your answer to three digits after the decimal point. State your answer as a percentage point, such as 1.234.
Using the CAPM, estimate the appropriate required rate of return for the three stocks listed here, given that the risk-free rate is 6 percent and the expected return for the market is 14 percent. STOCK ВЕТА A 0.62 B 1.09 1.48 a. Using the CAPM, the required rate of return for stock A is %. (Round to two decimal places.) b. Using the CAPM, the required rate of return for stock B is %. (Round to two decimal places.) c. Using the CAPM, the required rate of return for stock C is %. (Round to two decimal places
A portfolio invests in 35% in a stock S1 and the rest in another stock S2. The expected return and standard deviation of S1 are 23% and 35%, respectively. The expected return and standard deviation of S2 are 8% and 14%, respectively. The covariance between the two stocks is 0.0008. What is the standard deviation of the portfolio? Note: Write your answer in decimal (3 or more decimal places). For example, write 0.2544 instead of 25.44%.

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