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

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Discuss arbitrage opportunities in the context of violations of the law of one price.

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In a multi-factor APT model,the coefficients on the macro factors are often called ______.

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Consider the one-factor APT.Assume that two portfolios,A and B,are well diversified.The betas of portfolios A and B are 1.0 and 1.5,respectively.The expected returns on portfolios A and B are 19% and 24%,respectively.Assuming no arbitrage opportunities exist,the risk-free rate of return must be ____________.

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Which of the following factors did Chen,Roll and Ross include in their multifactor model?

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The APT differs from the CAPM because the APT _________.

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To take advantage of an arbitrage opportunity,an investor would I.construct a zero investment portfolio that will yield a sure profit. II.construct a zero beta investment portfolio that will yield a sure profit. III.make simultaneous trades in two markets without any net investment. IV.short sell the asset in the low-priced market and buy it in the high-priced market.

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In terms of the risk/return relationship in the APT

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The APT requires a benchmark portfolio

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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 20 securities?

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Consider the multifactor APT.The risk premiums on the factor 1 and factor 2 portfolios are 5% and 3%,respectively.The risk-free rate of return is 10%.Stock A has an expected return of 19% and a beta on factor 1 of 0.8.Stock A has a beta on factor 2 of ________.

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Consider the multifactor APT with two factors.Stock A has an expected return of 16.4%,a beta of 1.4 on factor 1 and a beta of .8 on factor 2.The risk premium on the factor 1 portfolio is 3%.The risk-free rate of return is 6%.What is the risk-premium on factor 2 if no arbitrage opportunities exit?

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Consider the single factor APT.Portfolio A has a beta of 0.5 and an expected return of 12%.Portfolio B has a beta of 0.4 and an expected return of 13%.The risk-free rate of return is 5%.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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Consider the multifactor APT with two factors.Stock A has an expected return of 17.6%,a beta of 1.45 on factor 1 and a beta of .86 on factor 2.The risk premium on the factor 1 portfolio is 3.2%.The risk-free rate of return is 5%.What is the risk-premium on factor 2 if no arbitrage opportunities exit?

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Multifactor models such as the one constructed by Chen,Roll,and Ross,can better describe assets' returns by

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Consider the single-factor APT.Stocks A and B have expected returns of 15% and 18%,respectively.The risk-free rate of return is 6%.Stock B has a beta of 1.0.If arbitrage opportunities are ruled out,stock A has a beta of __________.

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A well-diversified portfolio is defined as

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Multifactor models seek to improve the performance of the single-index model by

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Consider the one-factor APT.The variance of returns on the factor portfolio is 11%.The beta of a well-diversified portfolio on the factor is 1.45.The variance of returns on the well-diversified portfolio is approximately __________.

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Consider the single factor APT.Portfolios A and B have expected returns of 14% and 18%,respectively.The risk-free rate of return is 7%.Portfolio A has a beta of 0.7.If arbitrage opportunities are ruled out,portfolio B must have a beta of __________.

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Consider the one-factor APT.The standard deviation of returns on a well-diversified portfolio is 22%.The standard deviation on the factor portfolio is 14%.The beta of the well-diversified portfolio is approximately __________.

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