Exam 8: Index Models

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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 0.30 and σM was 0.16, the β of the portfolio would be approximately

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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.

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Consider the single-index model. The alpha of a stock is 2%. 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 of the stock is

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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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HAW Inc. has an estimated beta of 0.87. Given a forecasted market return of 9% and a T-bill rate 3%, using the index model and the adjusted beta, what is the forecasted return?

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Using the single index model, what is the alpha of a stock with beta of 1.2, a market return of 14%, risk free rate of 3% and the actual return of the stock is 18%?

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Analysts may use regression analysis to estimate the index model for a stock. When doing so, the slope of the regression line is an estimate of

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Suppose the following equation best describes the evolution of β over time:βt = 0.36 + 0.85βt − 1.If a stock had a β of 0.6 last year, you would forecast the β to be _______ in the coming year.

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The security characteristic line (SCL)

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

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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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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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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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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 0.17, the β of the portfolio would be approximately

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Suppose the following equation best describes the evolution of β over time:βt = 0.49 + 0.77βt − 1.If a stock had a β of 0.9 last year, you would forecast the β to be _______ in the coming year.

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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 of Mobil stock is 1.10. 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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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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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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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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