Exam 5: The Mathematics of Diversification

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Industry effects are associated with

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Suppose Stock A has an expected return of 15%, a standard deviation of 20%, and a Beta of 0.4 while Stock B has an expected return of 25%, a standard deviation of 30% and a beta of 1.25, and the correlation between the two stocks is 0.25. What is the expected return for a portfolio with 80% invested in Stock A and 20% invested in Stock B?

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Covariance is the product of two securities'

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COV(A,B) = 0.50; the variance of the market is 0.25, and the beta of Security A is 1.00. What is the beta of security B?

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The covariance between a constant and a random variable is

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The questions relate to the following table of information: The questions relate to the following table of information:    -What is the percent invested in Stock X to yield the minimum variance portfolio with Stock X and Stock Y? -What is the percent invested in Stock X to yield the minimum variance portfolio with Stock X and Stock Y?

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The questions relate to the following table of information: The questions relate to the following table of information:    -What is the expected return for a portfolio with 20% invested in X and 80% invested in Y? -What is the expected return for a portfolio with 20% invested in X and 80% invested in Y?

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Suppose Stock M has an expected return of 10%, a standard deviation of 15%, and a Beta of 0.6 while Stock N has an expected return of 20%, a standard deviation of 25% and a beta of 1.04, and the correlation between the two stocks is 0.50. What is the covariance between Stock M and Stock N?

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The work of Harry Markowitz is based on the search for

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Suppose Stock M has an expected return of 10%, a standard deviation of 15%, and a Beta of 0.6 while Stock N has an expected return of 20%, a standard deviation of 25% and a beta of 1.04, and the correlation between the two stocks is 0.50. What is the standard deviation for a portfolio with 70% invested in Stock M and 30% invested in Stock N?

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The questions relate to the following table of information: The questions relate to the following table of information:    -What is the standard deviation for a portfolio with 20% invested in X and 80% invested in Y? -What is the standard deviation for a portfolio with 20% invested in X and 80% invested in Y?

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Suppose Stock A has an expected return of 15%, a standard deviation of 20%, and a Beta of 0.4 while Stock B has an expected return of 25%, a standard deviation of 30% and a beta of 1.25, and the correlation between the two stocks is 0.25. What is the standard deviation for a portfolio with 80% invested in Stock A and 20% invested in Stock B?

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Suppose Stock M has an expected return of 10%, a standard deviation of 15%, and a Beta of 0.6 while Stock N has an expected return of 20%, a standard deviation of 25% and a beta of 1.04, and the correlation between the two stocks is 0.50. What is the expected return for a portfolio with 70% invested in Stock M and 30% invested in Stock N?

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Suppose Stock A has an expected return of 15%, a standard deviation of 20%, and a Beta of 0.4 while Stock B has an expected return of 25%, a standard deviation of 30% and a beta of 1.25, and the correlation between the two stocks is 0.25. What is the beta for a portfolio with 80% invested in Stock A and 20% invested in Stock B?

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Suppose Stock A has an expected return of 15%, a standard deviation of 20%, and a Beta of 0.4 while Stock B has an expected return of 25%, a standard deviation of 30% and a beta of 1.25, and the correlation between the two stocks is 0.25. What is the covariance between Stock A and Stock B?

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There are 1,700 stocks in the Value Line index. How many betas would have to be calculated in order to find the portfolio variance?

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One of the first proponents of the single index model was

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Covariance is _____ correlation is ______.

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The covariance between a security's returns and those of the market index is 0.03. If the security beta is 1.15, what is the market variance?

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There are 1,700 stocks in the Value Line index. How many covariances would have to be calculated in order to use the Markowitz full covariance model?

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