Exam 7: An Introduction to Portfolio Management

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Exhibit 7.11 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset 1 Asset 2 =0.28 =0.12 E =0.15E =0.11 =0.42=0.58 =0.7 -Refer to Exhibit 7.11. Calculate the expected return of the two stock portfolio.

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Markowitz assumed that, given an expected return, investors prefer to minimize risk.

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When assessing the risk impact of adding a new security to a portfolio, it is necessary to consider the

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What is the standard deviation of an equally weighted portfolio of two stocks with a covariance of 0.009, if the standard deviation of the first stock is 15% and the standard deviation of the second stock is 20%?

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Risk is defined as the uncertainty of future outcomes.

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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 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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Between 1975 and 1985, the standard deviation of the returns for the NYSE and the S&P 500 indexes were 0.06 and 0.07, respectively, and the covariance of these index returns was 0.0008. What was the correlation coefficient between the two market indicators?

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Exhibit 7.15 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset () Asset () =14\% =16\% =13\% =18\% =0.4 =0.6 =0.0024 -Refer to Exhibit 7.15. 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 Del ton Inc. 50,000 10\% Efley Co. 40,000 11\% Grippon Inc. 60,000 16\%

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All of the following are common risk measurements except

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An individual investor's utility curves specify the tradeoffs he or she is willing to make between

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A positive covariance between two variables indicates that

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The most important criteria when adding new investments to a portfolio is the

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For a two stock portfolio containing Stocks i and j, the correlation coefficient of returns (rij) is equal to the square root of the covariance (covij).

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Between 1980 and 1990, the standard deviation of the returns for the NIKKEI and the DJIA indexes were 0.19 and 0.06, respectively, and the covariance of these index returns was 0.0014. What was the correlation coefficient between the two market indicators?

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Exhibit 7.10 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset () Asset () =16\% =14\% =3\% =8\% =0.5 =0.5 =0.0014 -Refer to Exhibit 7.10. What is the standard deviation of this portfolio?

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Exhibit 7A.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) The general equation for the weight of the first security to achieve the minimum variance (in a two stock portfolio) is given by: W1 = [E( σ\sigma 2)2 - r1.2 E( σ\sigma 1)E( σ\sigma 2)] -[E( σ\sigma 1)2 + E( σ\sigma 2)2 - 2 r1.2E( σ\sigma 1)E( σ\sigma 2)] -Refer to Exhibit 7A.1. Show the minimum portfolio variance for a two stock portfolio when r1.2 = 1.

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Investors choose a portfolio on the efficient frontier based on their utility functions that reflect their attitudes towards risk.

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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 standard deviation of this portfolio?

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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 standard deviation for Top Choice Corporation?

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