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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?


A) 5.66%
B) 5.94%
C) 11.3%
D) 16.3%

E) C) and D)
F) All of the above

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


A) The CAPM
B) The multifactor APT
C) Both the CAPM and the multifactor APT
D) Neither the CAPM nor the multifactor APT
E) None of the options are correct.

F) None of the above
G) A) and B)

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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?


A) 6.86%
B) 5.46%
C) 4.30%
D) 3.14%

E) All of the above
F) B) and D)

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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 _________.


A) A; A
B) A; B
C) B; A
D) B; B

E) C) and D)
F) None of the above

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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.


A) I and III
B) I and IV
C) II and III
D) II and IV
E) Only I is correct.

F) B) and D)
G) A) and E)

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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?


A) 4.86%
B) 7.46%
C) 12.3%
D) 13.54%

E) B) and D)
F) All of the above

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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?


A) 7.0%
B) 8.0%
C) 18.2%
D) 13.0%
E) 13.2%

F) C) and D)
G) A) and E)

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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


A) 3%.
B) 4%.
C) 5%.
D) 6%.

E) B) and C)
F) All of the above

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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?


A) 1.14%
B) 625%
C) 0.5%
D) 3.54%
E) 3.16%

F) B) and E)
G) C) and D)

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


A) systematic risk.
B) factor sensitivities.
C) idiosyncratic risk.
D) factor betas.
E) factor sensitivities and factor betas.

F) A) and B)
G) None of the above

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In a factor model, the return on a stock in a particular period will be related to


A) factor risk.
B) nonfactor risk.
C) standard deviation of returns.
D) factor risk and nonfactor risk.
E) None of the options are true.

F) C) and D)
G) B) and C)

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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


A) 0.80.
B) 1.40.
C) 1.65.
D) 1.82.

E) A) and C)
F) A) and D)

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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?


A) 7.0%
B) 8.0%
C) 9.2%
D) 13.0%
E) 13.2%

F) B) and D)
G) D) and E)

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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


A) 1.58.
B) 1.13.
C) 1.25.
D) 0.76.

E) A) and D)
F) B) and D)

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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?


A) 12.5%
B) 625%
C) 0.5%
D) 3.54%
E) 3.16%

F) D) and E)
G) B) and E)

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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


A) 3%.
B) 4%.
C) 5%.
D) 6%.

E) B) and C)
F) A) and D)

Correct Answer

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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


A) 6.0%.
B) 6.5%.
C) 6.8%.
D) 7.4%.

E) None of the above
F) A) and D)

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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


A) −$1,000.
B) $0.
C) $1,000.
D) $2,000.

E) B) and C)
F) All of the above

Correct Answer

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


A) systematic risk.
B) firm-specific risk.
C) idiosyncratic risk.
D) factor betas.

E) All of the above
F) A) and B)

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


A) Return on the market index
B) Excess return of small stocks over large stocks
C) Excess return of high book-to-market stocks over low book-to-market stocks
D) All of the factors were included in their model.
E) None of the factors were included in their model.

F) None of the above
G) C) and D)

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