Exam 10: Arbitrage Pricing Theory and Multifactor Models of Risk and Return

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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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Which pricing model provides no guidance concerning the determination of the risk premium on factor portfolios?

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Consider the one-factor APT. The standard deviation of returns on a well-diversified portfolio is 19%. The standard deviation on the factor portfolio is 12%. The beta of the well-diversified portfolio is approximately

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Consider the multifactor APT. There are two independent economic factors, F1 and F2. The risk-free rate of return is 6%. The following information is available about two well-diversified portfolios:  Portfolio \text { Portfolio } Assuming no arbitrage opportunities exist, the risk premium on the factor F1 portfolio should be

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Consider the multifactor APT with two factors. The risk premiums on the factor 1 and factor 2 portfolios are 5% and 6%, respectively. Stock A has a beta of 1.2 on factor-1, and a beta of 0.7 on factor-2. The expected return on stock A is 17%. If no arbitrage opportunities exist, the risk-free rate of return is

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In the APT model, what is the nonsystematic standard deviation of an equally-weighted portfolio that has an average value of σ(ei) equal to 18% and 250 securities?

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Consider a one-factor economy. Portfolio A has a beta of 1.0 on the factor, and portfolio B has a beta of 2.0 on the factor. The expected returns on portfolios A and B are 11% and 17%, respectively. Assume that the risk-free rate is 6%, and that arbitrage opportunities exist. Suppose you invested $100,000 in the risk-free asset, $100,000 in portfolio B, and sold short $200,000 of portfolio A. Your expected profit from this strategy would be

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In a multifactor APT model, the coefficients on the macro factors are often called

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Imposing the no-arbitrage condition on a single-factor security market implies which of the following statements?I) The expected return-beta relationship is maintained for all but a small number of well-diversified portfolios.II) The expected return-beta relationship is maintained for all well-diversified portfolios.III) The expected return-beta relationship is maintained for all but a small number of individual securities.IV) The expected return-beta relationship is maintained for all individual securities.

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Consider the multifactor APT. There are two independent economic factors, F1 and F2. The risk-free rate of return is 6%. The following information is available about two well-diversified portfolios:  Portfolio \text { Portfolio } Assuming no arbitrage opportunities exist, the risk premium on the factor F2 portfolio should be

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Consider a well-diversified portfolio, A, in a two-factor economy. The risk-free rate is 5%, the risk premium on the first-factor portfolio is 4%, and the risk premium on the second-factor portfolio is 6%. If portfolio A has a beta of 0.6 on the first factor and 1.8 on the second factor, what is its expected return?

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Consider the one-factor APT. The standard deviation of returns on a well-diversified portfolio is 14%. The standard deviation on the factor portfolio is 10%. The beta of the well-diversified portfolio is approximately

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The market return is 12% and the risk free rate is 4%. Smallish Inc. has a market beta of 0.9, a SMB beta of 0.65, and a HML beta of .52. The risk premium on HML and SMB are both 2%. If the single factor model generates a regression coefficient of 0.8, using the Fama-French Three Factor Model, what is the different in returns between the Three-Factor model and the single factor model expected returns on Smallish Inc. stock?

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Which of the following factors were used by Fama and French in their multifactor model?

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Consider the single factor APT. Portfolio A has a beta of 0.2 and an expected return of 13%. Portfolio B has a beta of 0.4 and an expected return of 15%. The risk-free rate of return is 10%. If you wanted to take advantage of an arbitrage opportunity, you should take a short position in portfolio _________ and a long position in portfolio _________.

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The market return is 11% and the risk free rate is 4%. Mammoth Inc. has a market beta of 1.2, a SMB beta of −.78, and a HML beta of −1.2. The risk premium on HML and SMB are both 3%. If the single factor model generates a regression coefficient of 1.2, using the Fama-French Three Factor Model, what is the different in returns between the Three-Factor model and the single factor model expected returns on Mammoth Inc. stock?

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In a multifactor APT model, the coefficients on the macro factors are often called

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The market return is 12% and the risk free rate is 4%. Smallish Inc. has a market beta of 0.9, a SMB beta of 0.65, and a HML beta of .52. If the risk premium on HML and SMB are both 2%, using the Fama-French Three Factor Model, what is the expected Return on Smallish Inc. stock?

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Consider a well-diversified portfolio, A, in a two-factor economy. The risk-free rate is 6%, the risk premium on the first factor portfolio is 4%, and the risk premium on the second factor portfolio is 3%. If portfolio A has a beta of 1.2 on the first factor and .8 on the second factor, what is its expected return?

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In the APT model, what is the nonsystematic standard deviation of an equally-weighted portfolio that has an average value of σ(ei) equal to 20% and 40 securities?

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