Performance Evaluation and Active Portfolio Management Difficulties in adjusting average returns for risk present a host of issues, as the proper measure of risk may not be obvious, and risk levels may change along with portfolio composition. The following data is given for a particular sample period: (a) Average return Beta Standard deviation Portfolio P 35% 1.2 42% Page 6 of 8 Market M 28% 1.0 30 %

Performance Evaluation and Active Portfolio Management Difficulties in adjusting average returns for risk present a host of issues, as the proper measure of risk may not be obvious, and risk levels may change along with portfolio composition. The following data is given for a particular sample period: (a) Average return Beta Standard deviation Portfolio P 35% 1.2 42% Page 6 of 8 Market M 28% 1.0 30 %

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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O Considering the following information regarding the performance of a portfolio manager in a recent quarter, (i) identify the Alpha of the manager's portfolio compared to benchmark (ii) identify the contributions of asset allocation and security selection to relative performance. Stocks Bonds Treasury bills Manager's Manager's Benchmark Benchmark Return Weight Relarn 1% 2% 2% 1.5% 0.75% 0.5% 0.50 0.30 0.20 weight 0.30 0.30 0.40
2. Consider the following expected returns, volatilities, and correlations: Expected Standard Stock Return Deviation Correlation with Vital Correlation with Mital Correlation with Pital Vital 14% 6% 1.0 -1.0 0.0 Mital 44% 24% -1.0 1.0 0.7 Pital 23% 14% 0.0 0.7 1.0 a. Imagine a portfolio comprising solely of Vital and Mital. What portion of should be allocated to Vital stock to ensure a risk-free investment? your investment b. What is the portfolio's volatility when holding a $10,000 long position in Pital and a $2000 short position in Mital? wwwww c. In a market, there are two securities, Artis and Brotis. Currently, the price of Artis stands at £50. Looking ahead, the price of Artis next year will be £40 during a recession, £55 in normal economic times, and £60 in an expanding economy. The probabilities associated with recession, normal times, and expansion are 0.1, 0.8, and 0.1, respectively. Artis does not pay dividends and has a correlation of 0.8 with the market. On the other…
Consider the following two assets: Asset Expected return Standard deviation of returns 1 18% 30% 2 8% 10% The returns on the two assets are perfectly negatively correlated (i.e. coefficient of -1). Calculate the proportions of assets 1 and 2 that generate a portfolio with a standard deviation of zero. What is the expected return of that portfolio?
Consider Microsoft Corporation (MSFT) and Meta Platforms, Inc. (META) that have returns variances of 6.25% and 3.24%, respectively. Calculate the standard deviation of portfolio returns for an equal-weighted portfolio of the two assets when their correlation of returns is 0. A. 24.71% B. 19.20% C. 15.40% D. 10.28%
Consider a risky portfolio, A, with an expected rate of return of 0.16 and a standard deviation of 0.25, that lies on a given indifference curve. Which one of the following portfolios is not likely to lie on the same indifference curve for a risk-averse investor with a mean- variance utility function? a. Expected return = 0.20; Standard deviation = 0.15 b. Expected return = 0.10; Standard deviation = 0.20 Expected return= 0.15; Standard deviation = 0.20 Expected return = 0.12; Standard deviation = 0.10 Expected return = 0.10; Standard deviation = 0.10 C. d. e.
Consider two portfolios, Portfolio A and Portfolio B, with the following performance metrics: - Portfolio A has a Sharpe Ratio of 0.8, a Treynor Ratio of 1.2, and a Jensen's Alpha of 0.5. - Portfolio B has a Sharpe Ratio of 1.2, a Treynor Ratio of 0.9, and a Jensen's Alpha of -0.2. Which of the following statements is correct regarding the performance of these portfolios? Portfolio A has a higher risk-adjusted return when the risk is measured by the beta. Portfolio B outperforms the risk-adjusted return suggested by CAPM. Portfolio A and B have similar risk-adjusted returns, but Portfolio B exhibits negative abnormal returns. Portfolio B has a higher risk-adjusted return when the risk is measured by the standard deviation. Portfolio A outperforms Portfolio B in terms of both risk-adjusted return and abnormal returns suggested by CAPM.
On the expected return (Y-axis) vs. variance (X-axis) graph, investors will prefer portfolios that lie to the: 1) Southeast 2) Northeast 3) Northwest 4) Southwest
In order to create an efficient set of portfolios thru optimization using concepts from Markowitz portfolio theory, you would need to forecast only 2 variables including expected return and standard deviation or variance for the asset classes or securities in focus. True or false
Consider the following two assets: Asset Expected return Standard deviation of returns 1 18% 30% 2 8% 10% The returns on the two assets are perfectly negatively correlated (i.e. coefficient of -1). Calculate the proportions of assets 1 and 2 that generate a portfolio with a standard deviation of zero. What is the expected return of that portfolio Calculate the expected returns and standard deviations of three other portfolios with weightingsof your choice. Present a graph of your results.
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Select all that are true with respect to systematic and unsystematic risk. Group of answer choices Systematic risk is unimportant when estimating expected returns Unystematic risk is unimportant when estimating expected returns Total risk (Systematic + Unsystematic) is the key risk measure one needs to estimate expected returns In a well diversified portfolio, unsystematic risk is largely eliminated A key reason why the risk-return tradeoff is better for portfolios than in individual assets is because combining assets into portfolios reduces unsystematic risk A key reason why the risk-return tradeoff is better for portfolios than in individual assets is because combining assets into portfolios reduces systematic risk
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