Exam 8: Index Models

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Assume that stock market returns do follow a single-index structure.An investment fund analyzes 500 stocks in order to construct a mean-variance efficient portfolio constrained by 500 investments.They will need to calculate ________ estimates of firm-specific variances and ________ estimate/estimates for the variance of the macroeconomic factor.

(Multiple Choice)
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If a firm's beta was calculated as 0.8 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 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.

(Multiple Choice)
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As diversification increases, the total variance of a portfolio approaches

(Multiple Choice)
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Suppose the following equation best describes the evolution of β\beta over time: β\beta t = 0.4 + 0.6 β\beta t - 1. If a stock had a β\beta of 0.9 last year, you would forecast the β\beta to be _______ in the coming year.

(Multiple Choice)
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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 0.25 and σ\sigma M was 0.21, the β\beta of the portfolio would be approximately ________.

(Multiple Choice)
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Suppose you forecast that the market index will earn a return of 15% in the coming year.Treasury bills are yielding 6%.The unadjusted β\beta of Mobil stock is 1.30.A reasonable forecast of the return on Mobil stock for the coming year is _________ if you use a common method to derive adjusted betas.

(Multiple Choice)
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Assume that stock market returns do follow 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 ________ estimates of expected returns and ________ estimates of sensitivity coefficients to the macroeconomic factor.

(Multiple Choice)
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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

(Multiple Choice)
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Suppose the following equation best describes the evolution of β\beta over time: β\beta t = 0.30 + 0.70 β\beta t - 1 If a stock had a β\beta of 0.82 last year, you would forecast the β\beta to be _______ in the coming year.

(Multiple Choice)
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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 ____________ covariances.

(Multiple Choice)
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As diversification increases, the unique risk of a portfolio approaches

(Multiple Choice)
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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 + 1.2RM + eB. σ\sigma M = 0.20; σ\sigma (eA) = 0.20; σ\sigma (eB) = 0.10. The standard deviation for stock A is

(Multiple Choice)
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An analyst estimates the index model for a stock using regression analysis involving total returns.The estimated intercept in the regression equation is 6% and the β\beta is 0.5.The risk-free rate of return is 12%.The true β\beta of the stock is

(Multiple Choice)
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The beta of Apple stock has been estimated as 2.3 using regression analysis on a sample of historical returns.A commonly-used adjustment technique would provide an adjusted beta of

(Multiple Choice)
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If a firm's beta was calculated as 1.35 in a regression equation, a commonly-used adjustment technique would provide an adjusted beta of

(Multiple Choice)
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