Exam 7: An Introduction to Portfolio Management

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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 standard deviation of the stock A and B portfolio?

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Which of the following statements about the correlation coefficient is false?

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Exhibit 7.3 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset () Asset () =9\% =11\% =4\% =6\% =0.4 =0.6 =0.0011 -Refer to Exhibit 7.3. 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 7.6 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset () Asset () =16\% =10\% =9\% =7\% =0.5 =0.5 =0.0009 -Refer to Exhibit 7.6. 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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Calculate the expected return for a three asset portfolio with the following Asset Exp. Ret. Std. Dev Weight A 0.0675 0.12 0.25 B 0.1235 0.1675 0.35 C 0.1425 0.1835 0.40

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Exhibit 7.7 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset () Asset () =7\% =9\% =6\% =5\% =0.6 =0.4 =0.0014 -Refer to Exhibit 7.7. What is the standard deviation of this portfolio?

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Between 1990 and 2000, the standard deviation of the returns for the NIKKEI and the DJIA indexes were 0.18 and 0.16, respectively, and the covariance of these index returns was 0.003. What was the correlation coefficient between the two market indicators?

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Between 1986 and 1996, the standard deviation of the returns for the NYSE and the DJIA indexes were 0.10 and 0.09, respectively, and the covariance of these index returns was 0.0009. What was the correlation coefficient between the two market indicators?

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A good portfolio is a collection of individually good assets.

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Exhibit 7.13 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) A financial analyst covering Magnum Oil has determined the following four possible returns given four different states of the economy over the next period. Probability Return 0.10 -.20 0.25 -.05 0.40 0.15 0.25 0.30 -Refer to Exhibit 7.13. Calculate the standard deviation for Magnum Oil.

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The purpose of calculating the covariance between two stocks is to provide a(n) ____ measure of their movement together.

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Exhibit 7.12 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset 1 Asset 2 E =.12 E =.16 E =.04 E =.06 -Refer to Exhibit 7.12. Calculate the expected returns and expected standard deviations of a two stock portfolio when r1,2 = .80 and w1 = .60.

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In a three asset portfolio the standard deviation of the portfolio is one third of the square root of the sum of the individual standard deviations.

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Combining assets that are not perfectly correlated does affect both the expected return of the portfolio as well as the risk of the portfolio.

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What is the expected return of the three stock portfolio described below? Common Stock Market Value Expected Return Lupko Inc. 50,000 13\% Mackey Co. 25,000 9\% Nippon Inc. 75,000 14\%

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Exhibit 7.7 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset () Asset () =7\% =9\% =6\% =5\% =0.6 =0.4 =0.0014 -Refer to Exhibit 7.7. 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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Semivariance, when applied to portfolio theory, is concerned with

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You are given a two asset portfolio with a fixed correlation coefficient. If the weights of the two assets are varied the expected portfolio return would be ____ and the expected portfolio standard deviation would be ____.

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Exhibit 7.12 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset 1 Asset 2 E =.12 E =.16 E =.04 E =.06 -Refer to Exhibit 7.12. Calculate the expected return and expected standard deviation of a two stock portfolio when r1,2 = -.60 and w1 = .75.

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Exhibit 7B.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 1)2 - r1.2 E( σ\sigma 1) E( σ\sigma 2)] - [E( σ\sigma 1)2 + E( σ\sigma 2)2 - 2 r1.2 E( σ\sigma 1) E( σ\sigma 2)] -Refer to Exhibit 7B.1. Show the minimum portfolio variance for a portfolio of two risky assets when r1.2 = -1.

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