Exam 7: An Introduction to Portfolio Management

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The correlation coefficient and the covariance are measures of the extent to which two random variables move together.

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Between 1994 and 2004, the standard deviation of the returns for the S&P 500 and the NYSE indexes were 0.27 and 0.14, respectively, and the covariance of these index returns was 0.03. What was the correlation coefficient between the two market indicators?

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Consider two securities, A and B. Security A and B have a correlation coefficient of 0.65. Security A has standard deviation of 12, and security B has standard deviation of 25. Calculate the covariance between these two securities.

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As the correlation coefficient between two assets decreases, the shape of the efficient frontier

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Exhibit 7.4 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset () Asset () =10\% =8\% =6\% =5\% =0.3 =0.7 =0.0008 -Refer to Exhibit 7.4. What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation ( σ\sigma i), covariance (COVi,j), and asset weight (Wi) are as shown above?

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Exhibit 7.14 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Stocks A and B have a correlation coefficient of -0.8. The stocks' expected returns and standard deviations are in the table below. A portfolio consisting of 40% of stock A and 60% of stock B is constructed. Stock Expected Return Standard Deviation A 20\% 25\% B 15\% 19\% -Refer to Exhibit 7.14. What is the expected return of the stock A and B portfolio?

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The expected return and standard deviation of a portfolio of risky assets is equal to the weighted average of the individual asset's expected returns and standard deviation.

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A portfolio manager is considering adding another security to his portfolio. The correlations of the 5 alternatives available are listed below. Which security would enable the highest level of risk diversification?

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Given a portfolio of stocks, the envelope curve containing the set of best possible combinations is known as the

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Exhibit 7.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset () Asset () =25\% =15\% =18\% =11\% =0.75 =0.25 =-0.0009 -Refer to Exhibit 7.2. What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation ( σ\sigma i), covariance (COVi,j), and asset weight (Wi) are as shown above?

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Assuming that everyone agrees on the efficient frontier (given a set of costs), there would be consensus that the optimal portfolio on the frontier would be where the ratio of return per unit of risk was greatest.

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Exhibit 7.14 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Stocks A and B have a correlation coefficient of -0.8. The stocks' expected returns and standard deviations are in the table below. A portfolio consisting of 40% of stock A and 60% of stock B is constructed. Stock Expected Return Standard Deviation A 20\% 25\% B 15\% 19\% -Refer to Exhibit 7.14. What percentage of stock A should be invested to obtain the minimum risk portfolio that contains stock A and B?

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Exhibit 7.9 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset () Asset () =18\% =13\% =7\% =6\% =0.3 =0.7 =0.0011 -Refer to Exhibit 7.9. What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation ( σ\sigma i), covariance (COVi,j), and asset weight (Wi) are as shown above?

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Prior to the work of Markowitz in the late 1950's and early 1960's, portfolio managers did not have a well-developed, quantitative means of measuring risk.

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Exhibit 7.16 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Based on the economic outlook for the industry a financial analyst covering Top Choice Corporation has determined the following three possible returns given three different states of the economy over the next period. Probability Return 0.25 0.02 0.50 0.14 0.25 0.30 -Refer to Exhibit 7.16. What is the expected return for Top Choice Corporation?

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Exhibit 7.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset () Asset () =10\% =15\% =8\% =9.5\% =0.25 =0.75 =0.006 -Refer to Exhibit 7.1. What is the standard deviation of this portfolio?

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What is the expected return of the three stock portfolio described below? Common Stock Market Value Expected Return Xerox 125,000 8\% Yelcon 250,000 25\% Zwiebal 175,000 16\%

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In a two stock portfolio, if the correlation coefficient between two stocks were to decrease over time, everything else remaining constant, the portfolio's risk would

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Exhibit 7.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset () Asset () =25\% =15\% =18\% =11\% =0.75 =0.25 =-0.0009 -Refer to Exhibit 7.2. What is the standard deviation of this portfolio?

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The combination of two assets that are completely negatively correlated provides maximum returns.

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