Exam 8: The Efficient Market Hypothesis

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An arbitrage opportunity exists if an investor can construct a _________ investment portfolio that will yield a sure profit.

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A well-diversified portfolio is defined as

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Name three variables that Chen,Roll,and Ross used to measure the impact of macroeconomic factors on security returns.Briefly explain the reasoning behind their model.

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Covariances between security returns tend to be

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The factor F in the APT model represents

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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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Consider the one-factor APT.The variance of returns on the factor portfolio is 6%.The beta of a well-diversified portfolio on the factor is 1.1.The variance of returns on the well-diversified portfolio is approximately __________.

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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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In the context of the Arbitrage Pricing Theory,as a well-diversified portfolio becomes larger its nonsystematic risk 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 of your portfolio was 0.20 and σM was 0.16,the β of the portfolio would be approximately ________.

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___________ a relationship between expected return and risk.

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Consider the one-factor APT.The standard deviation of returns on a well-diversified portfolio is 18%.The standard deviation on the factor portfolio is 16%.The beta of the well-diversified portfolio is approximately __________.

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The index model for stock A has been estimated with the following result: RA = 0.01 + 0.9RM + eA If σM = 0.25 and R2A = 0.25,the standard deviation of return of stock A is _________.

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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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Security A has a beta of 1.0 and an expected return of 12%.Security B has a beta of 0.75 and an expected return of 11%.The risk-free rate is 6%.Explain the arbitrage opportunity that exists;explain how an investor can take advantage of it.Give specific details about how to form the portfolio,what to buy and what to sell.B.The investor can accomplish this by choosing .75 as the weight in A and .25 in the risk-free asset.This portfolio would have E(rp)= 0.75(12%)+ 0.25(6%)= 10.5%,which is less than B's 11% expected return.The investor should buy B and finance the purchase by short selling A and borrowing at the risk-free asset.

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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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The Security Characteristic Line (SCL)associated with the single-index model is a plot of

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Which of the following factors was used by Fama and French in their multi-factor model?

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

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