投资学第7版TestBank答案10

投资学第7版TestBank答案10
Return
Multiple Choice Questions
1. ___________ a relationship between expected return and risk.
A) APT stipulates
B) CAPM stipulates
C) Both CAPM and APT stipulate
D) Neither CAPM nor APT stipulate
E) No pricing model has found
Answer: C Difficulty: Easy
Rationale: Both models attempt to explain asset pricing based on risk/return
relationships.
2. 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 above is a true statement.
Answer: B Difficulty: Moderate
Rationale: The multifactor APT provides no guidance as to the determination of the risk premium on the various factors. The CAPM assumes that the excess market return over the risk-free rate is the market premium in the single factor CAPM.
3. An arbitrage opportunity exists if an investor can construct a __________ investment
portfolio that will yield a sure profit.
A) positive
B) negative
C) zero
D) all of the above
E) none of the above
Answer: C Difficulty: Easy
Rationale: If the investor can construct a portfolio without the use of the investor's own funds and the portfolio yields a positive profit, arbitrage opportunities exist.
Return
4. The APT was developed in 1976 by ____________.
A) Lintner
B) Modigliani and Miller
C) Ross
D) Sharpe
E) none of the above
Answer: C Difficulty: Easy
Rationale: Ross developed this model in 1976.
5. A _________ portfolio is a well-diversified portfolio constructed to have a beta of 1 on
one of the factors and a beta of 0 on any other factor.
A) factor
B) market
C) index
D) A and B
E) A, B, and C
Answer: A Difficulty: Easy
Rationale: A factor model portfolio has a beta of 1 one factor, with zero betas on other factors.
6. The exploitation of security mispricing in such a way that risk-free economic profits
may be earned is called ___________.
A) arbitrage
B) capital asset pricing
C) factoring
D) fundamental analysis
E) none of the above
Answer: A Difficulty: Easy
Rationale: Arbitrage is earning of positive profits with a zero (risk-free) investment.
Return
7. In developing the APT, Ross assumed that uncertainty in asset returns was a result of
A) a common macroeconomic factor
B) firm-specific factors
C) pricing error
D) neither A nor B
E) both A and B
Answer: E Difficulty: Moderate
Rationale: Total risk (uncertainty) is assumed to be composed of both macroeconomic and firm-specific factors.
8. The ____________ provides an unequivocal statement on the expected return-beta
relationship for all assets, whereas the _____________ implies that this relationship
holds for all but perhaps a small number of securities.
A) APT, CAPM
B) APT, OPM
C) CAPM, APT
D) CAPM, OPM
E) none of the above
Answer: C Difficulty: Moderate
Rationale: The CAPM is an asset-pricing model based on the risk/return relationship of all assets. The APT implies that this relationship holds for all well-diversified portfolios, and for all but perhaps a few individual securities.
9. Consider a single factor APT. Portfolio A has a beta of 1.0 and an expected return of
16%. Portfolio B has a beta of 0.8 and an expected return of 12%. The risk-free rate of return is 6%. 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) A, the riskless asset
Answer: C Difficulty: Moderate
Rationale: A: 16% = 1.0F + 6%; F = 10%; B: 12% = 0.8F + 6%: F = 7.5%; thus, short B and take a long position in A.
Return
10. 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) none of the above
Answer: C Difficulty: Moderate
Rationale: A: 13% = 10% + 0.2F; F = 15%; B: 15% = 10% + 0.4F; F = 12.5%; therefore, short B and take a long position in A.
11. 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 __________.
A) 3.6%
B) 6.0%
C) 7.3%
D) 10.1%
E) none of the above
Answer: C Difficulty: Moderate
Rationale: s2P = (1.1)2(6%) = 7.26%.
12. 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 __________.
A) 0.80
B) 1.13
C) 1.25
D) 1.56
E) none of the above
Answer: B Difficulty: Moderate
Rationale: (18%)2 = (16%)2 b2; b = 1.125.
Return
13. 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 __________.
A) 0.67
B) 1.00
C) 1.30
D) 1.69
E) none of the above
Answer: E Difficulty: Moderate
Rationale: A: 15% = 6% + bF; B: 8% = 6% + 1.0F; F = 12%; thus, beta of A = 9/12 =
0.75.
14. 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?
A) 2%
B) 3%
C) 4%
D) 7.75%
E) none of the above
Answer: D Difficulty: Difficult
Rationale: 16.4% = 1.4(3%) + .8x + 6%; x = 7.75.
15. Consider the multifactor model APT with two factors. Portfolio A has a beta of 0.75 on
factor 1 and a beta of 1.25 on factor 2. The risk premiums on the factor 1 and factor 2 portfolios are 1% and 7%, respectively. The risk-free rate of return is 7%. The expected return on portfolio A is __________if no arbitrage opportunities exist.
A) 13.5%
B) 15.0%
C) 16.5%
D) 23.0%
E) none of the above
Answer: C Difficulty: Moderate
Rationale: 7% + 0.75(1%) + 1.25(7%) = 16.5%.
Return
16. 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
Answer: C Difficulty: Moderate
Rationale: 17% = x% + 1.2(5%) + 0.7(6%); x = 6.8%.
17. 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) none of the above
Answer: C Difficulty: Moderate
Rationale: $100,000(0.06) = $6,000 (risk-free position); $100,000(0.17) = $17,000
(portfolio B); -$200,000(0.11) = -$22,000 (short position, portfolio A); 1,000 profit. 18. 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 ____________.
A) 4.0%
B) 9.0%
C) 14.0%
D) 16.5%
E) none of the above
Answer: B Difficulty: Moderate
Rationale: A: 19% = r f + 1(F); B:24% = r f + 1.5(F); 5% = .5(F); F = 10%; 24% = r f +
1.5(10); ff = 9%.
Return
19. 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 ________.
A) 1.33
B) 1.50
C) 1.67
D) 2.00
E) none of the above
Answer: C Difficulty: Moderate
Rationale: 19% = 10% + 5%(0.8) + 3%(x); x = 1.67.
20. 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 __________.
A) 0.45
B) 1.00
C) 1.10
D) 1.22
E) none of the above
Answer: C Difficulty: Moderate
Rationale: A: 14% = 7% + 0.7F; F = 10; B: 18% = 7% + 10b; b = 1.10.
Use the following to answer questions 21-24:
There are three stocks, A, B, and C. You can either invest in these stocks or short sell them. There are three possible states of nature for economic growth in the upcoming year; economic growth may be strong, moderate, or weak. The returns for the upcoming year on stocks A, B, and C for each of these states of nature are given below:
Return
21. If you invested in an equally weighted portfolio of stocks A and B, your portfolio return would be ___________ if economic growth were moderate.
A) 3.0%
B) 14.5%
C) 15.5%
D) 16.0%
E) none of the above
Answer: D Difficulty: Easy
Rationale: E(Rp) = 0.5(17%) + 0.5(15%) = 16%.
22. If you invested in an equally weighted portfolio of stocks A and C, your portfolio return would be ____________ if economic growth was strong.
A) 17.0%
B) 22.5%
C) 30.0%
D) 30.5%
E) none of the above
Answer: B Difficulty: Easy
Rationale: 0.5(39%) + 0.5(6%) = 22.5%.
23. If you invested in an equally weighted portfolio of stocks B and C, your portfolio return would be _____________ if economic growth was weak.
A) -2.5%
B) 0.5%
C) 3.0%
D) 11.0%
E) none of the above
Answer: D Difficulty: Easy
Rationale: 0.5(0%) + 0.5(22%) = 11%.
Return
24. If you wanted to take advantage of a risk-free arbitrage opportunity, you should take a short position in _________ and a long position in an equally weighted portfolio of
_______.
A) A, B and C
B) B, A and C
C) C, A and B
D) A and B, C
E) none of the above, none of the above
Answer: C Difficulty: Difficult
Rationale: E(R A) = (39% + 17% - 5%)/3 = 17%; E(R B) = (30% + 15% + 0%)/3 = 15%;
E(R C) = (22% + 14% + 6%)/3 = 14%; E(R P) = -0.5(14%) + 0.5[(17% + 15%)/2]; -7.0% + 8.0% = 1.0%.
Use the following to answer questions 25-26:
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:
25. Assuming no arbitrage opportunities exist, the risk premium on the factor F1 portfolio
should be __________.
A) 3%
B) 4%
C) 5%
D) 6%
E) none of the above
Answer: A Difficulty: Difficult
Rationale: 2A: 38% = 12% + 2.0(RP1) + 4.0(RP2); B: 12% = 6% + 2.0(RP1) +
0.0(RP2); 26% = 6% + 4.0(RP2); RP2 = 5; A: 19% = 6% + RP1 + 2.0(5); RP1 = 3%.
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26. Assuming no arbitrage opportunities exist, the risk premium on the factor F2 portfolio
should be ___________.
A) 3%
B) 4%
C) 5%
D) 6%
E) none of the above
Answer: C Difficulty: Difficult
Rationale: See solution to previous problem.
27. A zero-investment portfolio with a positive expected return arises when _________.
A) an investor has downside risk only
B) the law of prices is not violated
C) the opportunity set is not tangent to the capital allocation line
D) a risk-free arbitrage opportunity exists
E) none of the above
Answer: D Difficulty: Easy
Rationale: When an investor can create a zero-investment portfolio (by using none of the investor's own funds) with a possibility of a positive profit, a risk-free arbitrage
opportunity exists.
28. An investor will take as large a position as possible when an equilibrium price
relationship is violated. This is an example of _________.
A) a dominance argument
B) the mean-variance efficiency frontier
C) a risk-free arbitrage
D) the capital asset pricing model
E) none of the above
Answer: C Difficulty: Moderate
Rationale: When the equilibrium price is violated, the investor will buy the lower priced asset and simultaneously place an order to sell the higher priced asset. Such
transactions result in risk-free arbitrage. The larger the positions, the greater the
risk-free arbitrage profits.
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29. The APT differs from the CAPM because the APT _________.
A) places more emphasis on market risk
B) minimizes the importance of diversification
C) recognizes multiple unsystematic risk factors
D) recognizes multiple systematic risk factors
E) none of the above
Answer: D Difficulty: Moderate
Rationale: The CAPM assumes that market returns represent systematic risk. The APT recognizes that other macroeconomic factors may be systematic risk factors.
30. The feature of the APT that offers the greatest potential advantage over the CAPM is the
______________.
A) use of several factors instead of a single market index to explain the risk-return
relationship
B) identification of anticipated changes in production, inflation and term structure as
key factors in explaining the risk-return relationship
C) superior measurement of the risk-free rate of return over historical time periods
D) variability of coefficients of sensitivity to the APT factors for a given asset over
time
E) none of the above
Answer: A Difficulty: Easy
Rationale: The advantage of the APT is the use of multiple factors, rather than a single market index, to explain the risk-return relationship. However, APT does not identify the specific factors.
31. In terms of the risk/return relationship
A) only factor risk commands a risk premium in market equilibrium.
B) only systematic risk is related to expected returns.
C) only nonsystematic risk is related to expected returns.
D) A and B.
E) A and C.
Answer: D Difficulty: Easy
Rationale: Nonfactor risk may be diversified away; thus, only factor risk commands a risk premium in market equilibrium. Nonsystematic risk across firms cancels out in
well-diversified portfolios; thus, only systematic risk is related to expected returns.
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32. The following factors might affect stock returns:
A) the business cycle.
B) interest rate fluctuations.
C) inflation rates.
D) all of the above.
E) none of the above.
Answer: D Difficulty: Easy
Rationale: A, B, and C all are likely to affect stock returns.
33. Advantage(s) of the APT is(are)
A) that the model provides specific guidance concerning the determination of the risk
premiums on the factor portfolios.
B) that the model does not require a specific benchmark market portfolio.
C) that risk need not be considered.
D) A and B.
E) B and C.
Answer: B Difficulty: Easy
Rationale: The APT provides no guidance concerning the determination of the risk
premiums on the factor portfolios. Risk must considered in both the CAPM and APT.
A major advantage of APT over the CAPM is that a specific benchmark market
portfolio is not required.
34. Portfolio A has expected return of 10% and standard deviation of 19%. Portfolio B has
expected return of 12% and standard deviation of 17%. Rational investors will
A) Borrow at the risk free rate and buy A.
B) Sell A short and buy B.
C) Sell B short and buy A.
D) Borrow at the risk free rate and buy B.
E) Lend at the risk free rate and buy B.
Answer: B Difficulty: Easy
Rationale: Rational investors will arbitrage by selling A and buying B.
Return
35. An important difference between CAPM and APT is
A) CAPM depends on risk-return dominance; APT depends on a no arbitrage
condition.
B) CAPM assumes many small changes are required to bring the market back to
equilibrium; APT assumes a few large changes are required to bring the market
back to equilibrium.
C) implications for prices derived from CAPM arguments are stronger than prices
derived from APT arguments.
D) all of the above are true.
E) both A and B are true.
Answer: E Difficulty: Difficult
Rationale: Under the risk-return dominance argument of CAPM, when an equilibrium price is violated many investors will make small portfolio changes, depending on their risk tolerance, until equilibrium is restored. Under the no-arbitrage argument of APT, each investor will take as large a position as possible so only a few investors must act to restore equilibrium. Implications derived from APT are much stronger than those
derived from CAPM, making C an incorrect statement.
36. A professional who searches for mispriced securities in specific areas such as
merger-target stocks, rather than one who seeks strict (risk-free) arbitrage opportunities is engaged in
A) pure arbitrage.
B) risk arbitrage.
C) option arbitrage.
D) equilibrium arbitrage.
E) none of the above.
Answer: B Difficulty: Moderate
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37. In the context of the Arbitrage Pricing Theory, as a well-diversified portfolio becomes
larger its nonsystematic risk approaches
A) one.
B) infinity.
C) zero.
D) negative one.
E) none of the above.
Answer: C Difficulty: Easy
Rationale: As the number of securities, n, increases, the nonsystematic risk of a
well-diversified portfolio approaches zero.
38. A well-diversified portfolio is defined as
A) one that is diversified over a large enough number of securities that the
nonsystematic variance is essentially zero.
B) one that contains securities from at least three different industry sectors.
C) a portfolio whose factor beta equals 1.0.
D) a portfolio that is equally weighted.
E) all of the above.
Answer: A Difficulty: Moderate
Rationale: A well-diversified portfolio is one that contains a large number of securities, each having a small (but not necessarily equal) weight, so that nonsystematic variance is negligible.
39. The APT requires a benchmark portfolio
A) that is equal to the true market portfolio.
B) that contains all securities in proportion to their market values.
C) that need not be well-diversified.
D) that is well-diversified and lies on the SML.
E) that is unobservable.
Answer: D Difficulty: Moderate
Rationale: Any well-diversified portfolio lying on the SML can serve as the benchmark portfolio for the APT. The true (and unobservable) market portfolio is only a
requirement for the CAPM.
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40. 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
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 are correct.
B) I and IV are correct.
C) II and III are correct.
D) II and IV are correct.
E) Only I is correct.
Answer: C Difficulty: Moderate
Rationale: The expected return-beta relationship must hold for all well-diversified
portfolios and for all but a few individual securities; otherwise arbitrage opportunities will be available.
41. 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%
Answer: E Difficulty: Moderate
Rationale: .06 + 1.2 (.04) + .8 (.03) = .132
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42. The term “arbitrage” refers to
A) buying low and selling high.
B) short selling high and buying low.
C) earning risk-free economic profits.
D) negotiating for favorable brokerage fees.
E) hedging your portfolio through the use of options.
Answer: C Difficulty: Easy
Rationale: Arbitrage is exploiting security mispricings by the simultaneous purchase and sale to gain economic profits without taking any risk. A capital market in
equilibrium rules out arbitrage opportunities.
43. To take advantage of an arbitrage opportunity, an investor would
I)construct a zero 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.
A) I and IV
B) I and III
C) II and III
D) I, III, and IV
E) II, III, and IV
Answer: B Difficulty: Difficult
Rationale: Only I and III are correct. II is incorrect because the beta of the portfolio
does not need to be zero. IV is incorrect because the opposite is true.
44. The factor F in the APT model represents
A) firm-specific risk.
B) the sensitivity of the firm to that factor.
C) a factor that affects all security returns.
D) the deviation from its expected value of a factor that affects all security returns.
E) a random amount of return attributable to firm events.
Answer: D Difficulty: Moderate
Rationale: F measures the unanticipated portion of a factor that is common to all security returns.
Return
45. In the APT model, what is the nonsystematic standard deviation of an equally-weighted portfolio that has an average value of ó(e i ) equal to 25% and 50 securities?
A) 12.5%
B) 625%
C) 0.5%
D) 3.54%
E) 14.59%
Answer: D Difficulty: Moderate
Rationale: ()%54.35.12)(,5.122550
1)(1)(222=====p i p e e n e σσ
46. Which of the following is true about the security market line (SML) derived from the APT?
A) The SML has a downward slope.
B) The SML for the APT shows expected return in relation to portfolio standard
C) The SML for the APT has an intercept equal to the expected return on the market
portfolio.
D) The benchmark portfolio for the SML may be any well-diversified portfolio. E) The SML is not relevant for the APT. Answer: D Difficulty: Moderate
Rationale: The benchmark portfolio does not need to be the (unobservable) market
portfolio under the APT, but can be any well-diversified portfolio. The intercept still equals the risk-free rate.
47. If arbitrage opportunities are to be ruled out, each well-diversified portfolio's expected
excess return must be
A) inversely proportional to the risk-free rate.
B) inversely proportional to its standard deviation.
C) proportional to its weight in the market portfolio.
D) proportional to its standard deviation.
E) proportional to its beta coefficient.
Answer: E Difficulty: Moderate
Rationale: For each well-diversified portfolio (P and Q, for example), it must be true that [E(r p )-r f ]/βp = [E(r Q )-r f ]/ βQ. Return
48. Suppose you are working with two factor portfolios, Portfolio 1 and Portfolio 2. The
portfolios have expected returns of 15% and 6%, respectively. Based on this
information, what would be the expected return on well-diversified portfolio A, if A has
a beta of 0.80 on the first factor and 0.50 on the second factor? The risk-free rate is 3%.
A) 15.2%
B) 14.1%
C) 13.3%
D) 10.7%
E) 8.4%
Answer: B Difficulty: Moderate
Rationale: E(R A) = 3 +0.8*(15-3) + 0.5*(6-3) = 14.1.
49. Which of the following is (are) true regarding the APT?
I)The Security Market Line does not apply to the APT.
II)More than one factor can be important in determining returns.
III)Almost all individual securities satisfy the APT relationship.
IV)It doesn't rely on the market portfolio that contains all assets.
A) II, III, and IV
B) II and IV
D) I, II, and IV
E) I, II, III, and IV
Answer: A Difficulty: Moderate
Rationale: All except the first item are true. There is a Security Market Line associated with the APT.
50. In a factor model, the return on a stock in a particular period will be related to
A) factor risk.
B) non-factor risk.
C) standard deviation of returns.
D) both A and B are true.
E) none of the above is true.
Answer: D Difficulty: Moderate
Rationale: Factor models explain firm returns based on both factor risk and non-factor risk.
Return
51. Which of the following factors did Chen, Roll and Ross not include in their multifactor model?
A) Change in industrial production
B) Change in expected inflation
C) Change in unanticipated inflation
D) Excess return of long-term government bonds over T-bills
E) All of the above factors were included in their model.
Answer: E Difficulty: Moderate
Rationale: Chen, Roll and Ross included the four listed factors as well as the excess
return of long-term corporate bonds over long-term government bonds in their model.
52. Which of the following factors were used by Fama and French in their multi-factor
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 above factors were included in their model.
E) None of the above factors was included in their model.
Answer: D Difficulty: Moderate
Rationale: Fama and French included all three of the factors listed.
53. Which of the following factors did Merton not suggest as a likely source of uncertainty
that might affect security returns?
B) prices of important consumption goods.
C) book-to-market ratios.
D) changes in future investment opportunities.
E) All of the above are sources of uncertainty affecting security returns. Answer: C Difficulty: Moderate
Rationale: Merton did not suggest book-to-market ratios as an ICAPM pricing factor; the other three were suggested.。