Exam 8: Index Models

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As diversification increases, the total variance of a portfolio approaches

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The index model has been estimated for stocks A and B with the following results: RA = 0.01 + 0.8RM + eA. RB = 0.02 + 1.1RM + eB. ΣM = 0.30 σ(eA) = 0.20 σ(eB) = 0.10. The covariance between the returns on stocks A and B is

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Suppose you held a well-diversified portfolio with a very large number of securities and that the single index model holds.If the σ of your portfolio was 0.24 and σM was 0.18, the β of the portfolio would be approximately

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The beta of JCP stock has been estimated as 1.2 using regression analysis on a sample of historical returns.A commonly used adjustment technique would provide an adjusted beta of

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Assume that stock market returns do not resemble a single-index structure.An investment fund analyzes 132 stocks in order to construct a mean-variance efficient portfolio constrained by 132 investments.They will need to calculate ____________ covariances.

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Discuss the security characteristic line (SCL).

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The index model was first suggested by

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Suppose you held a well-diversified portfolio with a very large number of securities, and that the single index model holds.If the σ of your portfolio was 0.22 and σM was 0.19, the β of the portfolio would be approximately

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If the index model is valid, _________ would be helpful in determining the covariance between assets K and L.

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Suppose you are doing a portfolio analysis that includes all of the stocks on the NYSE.Using a single-index model rather than the Markowitz model

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Assume that stock market returns do not resemble a single-index structure.An investment fund analyzes 125 stocks in order to construct a mean-variance efficient portfolio constrained by 125 investments.They will need to calculate ____________ covariances.

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Assume that stock market returns do follow a single-index structure.An investment fund analyzes 200 stocks in order to construct a mean-variance efficient portfolio constrained by 200 investments.They will need to calculate ________ estimates of expected returns and ________ estimates of sensitivity coefficients to the macroeconomic factor.

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Covariances between security returns tend to be

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Discuss the advantages of the single-index model over the Markowitz model in terms of numbers of variable estimates required and in terms of understanding risk relationships.

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Assume that stock market returns do not resemble a single-index structure.An investment fund analyzes 40 stocks in order to construct a mean-variance efficient portfolio constrained by 40 investments.They will need to calculate _____________ expected returns and ___________ variances of returns.

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Assume that stock market returns do follow a single-index structure.An investment fund analyzes 175 stocks in order to construct a mean-variance efficient portfolio constrained by 175 investments.They will need to calculate ________ estimates of expected returns and ________ estimates of sensitivity coefficients to the macroeconomic factor.

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The index model for stock A has been estimated with the following result: RA = 0.01 + 0.94RM + eA If σM = 0.30 and R2A = 0.28, the standard deviation of return of stock A is

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The security characteristic line (SCL) associated with the single-index model is a plot of

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Assume that stock market returns do not resemble a single-index structure.An investment fund analyzes 150 stocks in order to construct a mean-variance efficient portfolio constrained by 150 investments.They will need to calculate _____________ expected returns and ___________ variances of returns.

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If a firm's beta was calculated as 1.6 in a regression equation, a commonly used adjustment technique would provide an adjusted beta of

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