Exam 8: Index Models

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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 _____________ expected returns and ___________ variances of returns.

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As diversification increases, the unsystematic risk of a portfolio approaches

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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 0.24, the β\beta of the portfolio would be approximately

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Suppose you forecast that the market index will earn a return of 12% in the coming year.Treasury bills are yielding 4%.The unadjusted β\beta of Mobil stock is 1.50.A reasonable forecast of the return on Mobil stock for the coming year is _________ if you use a common method to derive adjusted betas.

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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 0.20 and σ\sigma M was 0.16, the β\beta of the portfolio would be approximately

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Consider the single-index model.The alpha of a stock is 0%.The return on the market index is 10%.The risk-free rate of return is 5%.The stock earns a return that exceeds the risk-free rate by 5%, and there are no firm-specific events affecting the stock performance.The β\beta of the stock is

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The beta of a stock has been estimated as 1.4 using regression analysis on a sample of historical returns.A commonly-used adjustment technique would provide an adjusted beta of

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The index model has been estimated for stock A with the following results: RA = 0.01 + 0.8RM + eA. σ\sigma M = 0.20; σ\sigma (eA) = 0.10. The standard deviation of the return for stock A is

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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 ____________ covariances.

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Assume that stock market returns do not resemble a single-index structure.An investment fund analyzes 100 stocks in order to construct a mean-variance efficient portfolio constrained by 100 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 GM and GE.

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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 0.22 and σ\sigma M was 0.19, the β\beta of the portfolio would be approximately

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A single-index model uses __________ as a proxy for the systematic risk factor.

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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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As diversification increases, the firm-specific risk of a portfolio approaches

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In a factor model, the return on a stock in a particular period will be related to

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The index model for stock A has been estimated with the following result: RA = 0.01 + 0.9RM + eA. If σ\sigma M = 0.25 andR2A = 0.25, the standard deviation of return of stock A is

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Suppose the following equation best describes the evolution of β\beta over time: β\beta t = 0.3 + 0.2 β\beta t - 1 If a stock had a β\beta of 0.8 last year, you would forecast the β\beta to be _______ in the coming year.

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Assume that stock market returns do follow a single-index structure.An investment fund analyzes 217 stocks in order to construct a mean-variance efficient portfolio constrained by 217 investments.They will need to calculate ________ estimates of expected returns and ________ estimates of sensitivity coefficients to the macroeconomic factor.

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

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