Exam 8: Index Models

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The index model has been estimated for stocks A and B with the following results: RA = 0.03 + 0.7RM + eA. RB = 0.01 + 0.9RM + eB. σ\sigma M = 0.35; σ\sigma (eA) = 0.20; σ\sigma (eB) = 0.10. The covariance between the returns on stocks A and B is

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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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The security characteristic line (SCL)

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The index model has been estimated for stocks A and B with the following results: RA = 0.01 + 0.5RM + eA. RB = 0.02 + 1.3RM + eB. σ\sigma M = 0.25; σ\sigma (eA) = 0.20; σ\sigma (eB) = 0.10. The covariance between the returns on stocks A and B is

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The beta of a stock has been estimated as 1.8 using regression analysis on a sample of historical returns.A commonly-used adjustment technique would provide an adjusted beta of

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Consider the single-index model.The alpha of a stock is 0%.The return on the market index is 16%.The risk-free rate of return is 5%.The stock earns a return that exceeds the risk-free rate by 11%, and there are no firm-specific events affecting the stock performance.The β\beta of the stock is

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Assume that stock market returns do follow a single-index structure.An investment fund analyzes 60 stocks in order to construct a mean-variance efficient portfolio constrained by 60 investments.They will need to calculate ________ estimates of expected returns and ________ estimates of sensitivity coefficients to the macroeconomic factor.

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If a firm's beta was calculated as 1.3 in a regression equation, 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 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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If the index model is valid, _________ would be helpful in determining the covariance between assets HPQ and KMP.

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Suppose the following equation best describes the evolution of β\beta over time: β\beta t = 0.25 + 0.75 β\beta t - 1. If a stock had a β\beta of 0.6 last year, you would forecast the β\beta to be _______ in the coming year.

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The index model for stock A has been estimated with the following result: RA = 0.01 + 0.94RM + eA If σ\sigma M = 0.30 andR2A = 0.28, the standard deviation of return of stock A is

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Assume that stock market returns do follow a single-index structure.An investment fund analyzes 750 stocks in order to construct a mean-variance efficient portfolio constrained by 750 investments.They will need to calculate ________ estimates of firm-specific variances and ________ estimate/estimate(s) for the variance of the macroeconomic factor.

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The index model was first suggested by

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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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The single-index model

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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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Beta books typically rely on the __________ most recent monthly observations to calculate regression parameters.

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The index model for stock B has been estimated with the following result: RB = 0.01 + 1.1RM + eB. If σ\sigma M = 0.20 andR2B = 0.50, the standard deviation of the return on stock 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\sigma of your portfolio was 0.18 and σ\sigma M was 0.22, the β\beta of the portfolio would be approximately

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