Using the data in the following table, and the fact that the correlation of A and B is 0.52, calculate the volatility (standard deviation) of a portfolio that is 50% invested in stock A and 50% invested in stock B. (Click on the following icon in order to copy its contents into a spreadsheet.) Realized Returns Year 2008 2009 2010 2011 2012 2013 Stock A -3% 11% 5% -3% 2% 9% Stock B 15% 22% 8% - 5% 15% 15% The standard deviation of the portfolio is%. (Round to two decimal places.)

Using the data in the following table, and the fact that the correlation of A and B is 0.52, calculate the volatility (standard deviation) of a portfolio that is 50% invested in stock A and 50% invested in stock B. (Click on the following icon in order to copy its contents into a spreadsheet.) Realized Returns Year 2008 2009 2010 2011 2012 2013 Stock A -3% 11% 5% -3% 2% 9% Stock B 15% 22% 8% - 5% 15% 15% The standard deviation of the portfolio is%. (Round 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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What is Stock X's geometric returns if it has the following returns? Year 1 8% Year 2 - 5% Year 3 10% Year 4 - 6% Year 5 15% a. 4.1%. b. 5.2% c. 6.8% d. 8.5%
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What is the standard deviation of stock A if it has the following probabilities and rate of returns. Probability Return 0.3 -5% 0.4 14% 0.3 11% a. 9.11% b. 9.40% c. 8.62% d. 8.21%
Using the data in the following table, and the fact that the correlation of A and B is 0.62, calculate the volatility (standard deviation) of a portfolio that is 80% invested in stock A and 20% invested in stock B. (Click on the following icon in order to copy its contents into a spreadsheet.) Year 2008 2009 2010 2011 2012 2013 Realized Returns Stock A - 8% 17% 5% - 8% 4% 7% Stock B 17% 39% 11% - 1% - 5% 17% The standard deviation of the portfolio is %. (Round to two decimal places.)
A 1 Data for Two Stocks 2 3 B C D E F G H J K 2. Use the Excel file Data for Two Stocks to determine the following: a. Using EXCEL's Data Table Feature, create a one-way data table that determines the different means and standard deviations for portfolios consisting of combinations of Stock A and Stock B by varying the correlation coefficient value between Stock A and Stock B through the full range of possible correlation coefficient values. Use increments of 0.10 for the possible correlation coefficient values. b. Graph the correlation coefficients, the means, and the standard deviations of the portfolios from the one-way data table. Be sure to include a title for the graph and label the axes. c. Use Excel's Text Box Feature to explain how the portfolio means are affected by changing the correlation coefficient values. d. Use Excel's Text Box Feature to explain how the portfolio standard deviations are affected by changing the correlation coefficient values. 4 5 Expected return A B…
financial advisor evaluates four stocks for inclusion in an investor's portfolio. A orrelation matrix showing each stock's correlation with the other stocks is shown below Stock ALK CMN BTY DLE ALK 0.40 0.58 1.00 -0.25 BTY 0.40 1.00 0.16 -0.04 CMN -.25 .16 1.00 .37 DLE .58 .04 .37 1.00 f the goal is to reduce the investor's overall portfolio risk, which two stocks should the advisor recommend? a. ALK and DLE b. ALK and CMN c. BTY and DLE BTY and CM
8. (Portfolio of two stocks) The following spreadsheet presents data for stocks A and B. A B C 1 2 RETURN STATISTICS OF STOCKS A AND B Stock A Stock B 3 Average return 15% 10% 4 Variance 0.12 0.07 5 Standard deviation 34.64% 26.46% 6 7 Covariance of return, Cov(AIB) 0.0160 0.1746 <=B7/(B5*C5) a. 8 Correlation of return What are the return and the standard deviation of a portfolio com- posed of 30% of stock A and 70% of stock B? b. What are the return and the standard deviation of an equally weighted portfolio of stocks A and B?
Following is information for two stocks: Investment r σ Stock X 8% 10% Stock Y 24% 36% Which stock has the greater relative risk? (show the computation of the relative risk for X & Y.)
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.…
a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .45 correlation with the market portfolio and a standard deviation of 55 percent? c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market portfolio has a variance of…
Using the data in the following table, and the fact that the correlation of A and B is 0.06, calculate the volatility (standard deviation) of a portfolio that is 70% invested in stock A and 30% invested in stock B. The return of stock A is ☐ %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Realized Returns Year Stock A Stock B 2017 15% 24% 2018 12% 22% 2019 9% 10% 2020 -4% -4% 2021 4% -3% 2022 11% 22%
The following questions are based on the given information from table of probabilitydistributions of returns on investment individual shares and portfolio below:Table 3: Probability distributions of returns on investment for individual shares and portfolio. State ofEconomy Probabilityof theStates Return onShare A(rA) Return onShare B(rB) Return on Portfolio AB(rAB)1 0.20 15% -5% 5%2 0.20 -5% 15% 5%3 0.20 5% 25% 15%4 0.20 35% 5% 20%5 0.20 25% 35% 30% Given: By using the above information, demonstrate the rate of risk (variance and standarddeviation) for each of:(i) Share A (ii) Share B (iii) Portfolio A and B

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