Suppose that there exist two securities (A and B) with annual expected returns equal to ra = 3% and ry = 5% and standard deviations equal to o4 = 7% and og = 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.

Suppose that there exist two securities (A and B) with annual expected returns equal to ra = 3% and ry = 5% and standard deviations equal to o4 = 7% and og = 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.

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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You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 14.0% 13.0 .8.5 12.0 7.2 Ор 39.00% 34.00 24.00 29.00 0 Bp 1.50 1.15 0.90 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.90. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places. R-squared
Please answer the
You are given the following information concerning three portfolios, the market portfolio, and the risk- free asset: Portfolio X Y Z Market Risk-free Rp 14.5% R-squared 13.5 9.1 10.7 5.4 op 36% 31 21 26 0 6p 1.60 1.30 .80 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 72. What percentage of Portfolio Y's return is driven by the market? (Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.)
Suppose you create a portfolio with two securities: Security Security Weight (%) Security Variance (%) X 70 18 Y 30 22 If the correlation coefficient between the two securities is -0.2, what is the standard deviation of the portfolio？
Assume I am holding a portfolio of two risky assets with standard deviations of 1. Assume also that I am holding the minimum variance portfolio of these two assets. I do not know the correlation of these assets but I do know that it's not equal to one. Which of the below statements is true based on the information above? O Portfolio's standard deviation is equal to 1/2. Portfolio's return is equal to 1/2. O Portfolio weights of the two assets are equal to 1/2. None of the above statements is true. Portfolio's Sharpe ratio is equal to 1/2.
The beta of a portfolio is: A. A measure of the correlation of betas of the securities in the portfolio. B. Always greater than one. C. The market value weighted average beta of the securities in the portfolio. D. The geometric average of the beta of the securities in the portfolio.
An investor has a portfolio of two assets A and B. The details are shown in the below table. Portfolio Details Asset Expectedreturn Standarddeviation Covariance (A, B) Expected Portfolio Return A 0.06 0.5 0.12 0.1 B 0.08 0.8 Which one of the following statements is NOT correct? a. The portfolio weight in asset A is -100%. b. The correlation of asset A and B’s returns is 0.3. c. The investor can benefit from a fall in the price of asset A. d. The variance of the portfolio is 2.33. e. The order of short selling is borrowing, buying, selling, and returning.
Consider a portfolio consisting of the following three stocks: an expected return of 8%. The risk-free rate is 3%. a. Compute the beta and expected return of each stock. ▪ The volatility of the market portfolio is 10% and it has b. Using your answer from part a, calculate the expected return of the portfolio. c. What is the beta of the portfolio? d. Using your answer from part c, calculate the expected return of the portfolio and verify that it matches your answer to part b.
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.
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Op 1.45 1.20 0.75 1.00 Portfolio: X Y Z Market Risk-free Rp 11.00% 10.00 8.10 10.40 5.20 Information ratio Op 33.00% 28.00 18.00 23.00 0 Assume that the tracking error of Portfolio X is 9.10 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 4 decimal places. 02148 0
Expected return of a portfolio using beta. The beta of four stocks-P, Q, R, and S-are 0.59, 0.89, 1.05, and 1.31, respectively and the beta of portfolio 1 is 0.96, the beta of portfolio 2 is 0.87, and the beta of portfolio 3 is 1.05. What are the expected returns of each of the four individual assets and the three portfolios if the current SML is plotted with an intercept of 4.5% (risk-free rate) and a market premium of 12.0% (slope of the line)? ..... What is the expected return of stock P? % (Round to two decimal places.)
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Y Z Market Risk-free Rp 16.00% бр 32.00% 15.00 27.00 7.30 17.00 11.30 5.80 22.00 0 Bp 1.90 1.25 0.75 1.00 0 Assume that the tracking error of Portfolio X is 13.40 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 4 decimal places. Information ratio

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