Exam 6: An Introduction to Portfolio Management

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If the covariance of two stocks is positive, these stocks tend to move together over time.

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Exhibit 6-3 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Asset (A) Asset (B) E =9\% E =11\% =4\% =6\% =0.4 =0.6 =0.0011 -Refer to Exhibit 6-3. What is the standard deviation of this portfolio?

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Semi-variance, when applied to portfolio theory, is concerned with

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Exhibit 6-9 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Asset () Asset () =18\% =13\% =7\% =6\% =0.3 =0.7 =0.0011 -Refer to Exhibit 6-9. What is the standard deviation of this portfolio?

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Between 1985 and 1995, the standard deviation of the returns for the S&P/TSX and the TSX Venture 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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The slope of the efficient frontier is calculated as follows

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Exhibit 6-10 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Asset () Asset () =16\% =14\% =3\% =8\% =0.5 =0.5 =0.0014 -Refer to Exhibit 6-10. What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (?i), covariance (COVi,j), and asset weight (Wi) are as shown above?

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Exhibit 6-12 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Asset 1 Asset 2 E =.12 E =.16 E =.04 E =.06 -Refer to Exhibit 6-12. Calculate the expected returns and expected standard deviations of a two-stock portfolio when r?,? = .80 and w? = .60.

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Exhibit 6-6 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Asset (A) Asset (B) E =16\% E =10\% =9\% =7\% =0.5 =0.5 =0.0009 -Refer to Exhibit 6-6. What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (?i), covariance (COVi,j), and asset weight (Wi) are as shown above?

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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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Exhibit 6-12 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Asset 1 Asset 2 E =.12 E =.16 E =.04 E =.06 -Given the following weights and expected security returns, calculate the expected return for the portfolio. Weight Expected Return .20 .06 .25 .08 .30 .10 .25 12

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

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A good portfolio is a collection of individually good assets.

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When is a portfolio considered to be efficient?

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Exhibit 6-11 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Asset 1 Asset 2 E =0.28 E =0.12 E =0.15 E =0.11 =0.42 =0.58 =0.7 -Refer to Exhibit 6-11. Calculate the expected standard deviation of the two-stock portfolio.

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

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Exhibit 6-3 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Asset (A) Asset (B) E =9\% E =11\% =4\% =6\% =0.4 =0.6 =0.0011 -Refer to Exhibit 6-3. What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (?i), covariance (COVi,j), and asset weight (Wi) are as shown above?

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Exhibit 6-14 USE THE FOLLOWING INFORMATION FOR THE NEXT 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 20\% 25\% 15\% 10\% -Refer to Exhibit 6-14. What is the standard deviation of the stock A and B portfolio?

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Increasing the correlation among assets in a portfolio results in an increase in the standard deviation of the portfolio.

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