公司理财原版题库Chap010

Chapter 10Return and Risk: The Capital-Assets-Pricing Model Multiple Choice Questions1. When a security is added to a portfolio the appropriate return and risk contributions areA) the expected return of the asset and its standard deviation.B) the expected return and the variance.C) the expected return and the beta.D) the historical return and the beta.E) these both can not be measured.Answer: C Difficulty: Medium Page: 2552. When stocks with the same expected return are combined into a portfolioA) the expected return of the portfolio is less than the weighted average expected return of thestocks.B) the expected return of the portfolio is greater than the weighted average expected return of thestocks.C) the expected return of the portfolio is equal to the weighted average expected return of thestocks.D) there is no relationship between the expected return of the portfolio and the expected return ofthe stocks.E) None of the above.Answer: C Difficulty: Easy Page: 2613. Covariance measures the interrelationship between two securities in terms ofA) both expected return and direction of return movement.B) both size and direction of return movement.C) the standard deviation of returns.D) both expected return and size of return movements.E) the correlations of returns.Answer: B Difficulty: Medium Page: 258-259Use the following to answer questions 4-5:GenLabs has been a hot stock the last few years, but is risky. The expected returns for GenLabs are highly dependent on the state of the economy as follows:State of Economy Probability GenLabs ReturnsDepression .05 -50%Recession .10 -15Mild Slowdown .20 5Normal .30 15%Broad Expansion .20 25Strong Expansion .15 404. The expected return on GenLabs is:A) 3.3%B) 8.5%C) 12.5%D) 20.5%E) None of the above.Answer: C Difficulty: Medium Page: 256Rationale:E(r) = .05(-.5) + .10(-.15) + .2(.05) + .3(.15) + .2(.25) + .15(.40) = .125 = 12.5%5. The variance of GenLabs returns isA) .0207B) .0428C) .0643D) .0733E) None of the above.Answer: B Difficulty: Medium Page: 256-257Rationale:.05(-.50 - .125)2 + .1(-.15 - .125)2 + .2(.05 - .125)2 + .3(.15 - .125)2 + .2(.25 - .125)2 + .15(.40 - .125)2 = .04286. The standard deviation of GenLabs returns isA) .0845B) .2069C) .3065D) .3358E) None of the above.Answer: B Difficulty: Medium Page: 256-257Rationale:.05(-.50 - .125)2 + .1(-.15 - .125)2 + .2(.05 - .125)2 + .3(.15 - .125)2 + .2(.25 - .125)2 + .15(.40 - .125)2 = .0428(.0428) = .20697. The correlation between two stocksA) can take in positive values.B) can take on negative values.C) cannot be greater than 1.D) cannot be less than -1.E) All of the above.Answer: E Difficulty: Medium Page: 260-2618. If the correlation between two stocks is –1, the returnsA) generally move in the same direction.B) move perfectly opposite one another.C) are unrelated to one another as it is < 0.D) have standard deviations of equal size but opposite signs.E) None of the above.Answer: B Difficulty: Medium Page: 2609. Stock A has an expected return of 20%, and stock B has an expected return of 4%. However, therisk of stock A as measured by its variance is 3 times that of stock B. If the two stocks arecombined equally in a portfolio, what would be the portfolio's expected return?A) 4%B) 12%C) 20%D) Greater than 20%E) Need more information to answer.Answer: B Difficulty: Medium Page: 262Rationale:Rp = 20(.5) + 4(.5) = 12%Use the following to answer questions 10-14:Idaho Slopes (IS) and Dakota Steppes (DS) are both seasonal businesses. IS is a downhill skiing facility, while DS is a tour company that specializes in walking tours and camping. The equally likely returns on each company over the next year is expected to be:Economy Idaho Slopes Dakota SteppesStrong Downturn -10% 2%Mild Downturn - 4% 7%Slow Growth 4% 6%Moderate Growth 12% 4%Strong Growth 20% 4%10. The mean expected returns of Idaho Slopes and Dakota Steppes areA) 4.0%; 6.0%B) 4.4%; 4.6%C) 5.5%; 5.8%D) 10.0%; 6.0%E) None of the aboveAnswer: B Difficulty: Medium Page: 256Rationale:IS = (-10%-4%+4%+12%+20%)/5 = 4.4%DS = (2%+7%+6%+4%+4%)/5 = 4.6%11. The variances of Idaho Slopes and Dakota Steppes areA) .0145; .00038B) .011584; .000304C) .006454; .000154D) .0008068; .000193E) None of the aboveAnswer: B Difficulty: Hard Page: 256-257Rationale:2IS = .2 = 0.0115842DS = .2 = .00030412. The covariance between the Idaho Slopes and Dakota Steppes returns isA) .00187B) .00240C) .00028D) .000056E) None of the aboveAnswer: C Difficulty: Hard Page: 258-259Rationale:ISDS = = .0002813. If Idaho Slopes and Dakota Steppes are combined in a portfolio with 50% invested in each, theexpected return and risk would be?A) 4.5%; 0%B) 4.5%; 5.48%C) 5.0%; 0%D) 5.625%; 37.2%E) 8.0%; 8.2%Answer: B Difficulty: Hard Page: 261-262Rationale:Rp = .5(.044) + .5(.046) = .045 = 4.5%p = .5 = .05477 = 5.48%14. The correlation between stocks A and B is theA) covariance between A and B divided by the standard deviation of A times the standarddeviation of B.B) standard deviation A divided by the standard deviation of B.C) standard deviation of B divided by the covariance between A and B.D) variance of A plus the variance of B dividend by the covariance.E) None of the above.Answer: A Difficulty: Medium Page: 26015. A portfolio is entirely invested into Buzz's Bauxite Boring Equity, which is expected to return 16%,and Zum's Inc. bonds, which are expected to return 8%. Sixty percent of the funds are invested in Buzz's and the rest in Zum's. What is the expected return on the portfolio?A) 6.4%B) 9.6%C) 12.8%D) 24.2%E) Need additional information.Answer: C Difficulty: Medium Page: 262Rationale:R p = .60(R Buzz)+.40(R Zum) = .60(16%) + .40(8%) = 12.8%16. You have plotted the data for two securities over time on the same graph, ie., the month return ofeach security for the last 5 years. If the pattern of the movements of the two securities rose and fell as the other did, these two securities would haveA) no correlation at all.B) a weak negative correlation.C) a strong negative correlation.D) a strong positive correlation.E) one can not get any idea of the correlation from a graph.Answer: D Difficulty: Easy Page: 26017. If the covariance of stock 1 with stock 2 is -.0065, then what is the covariance of stock 2 with stock1?A) -.0065B) +.0065C) greater than +.0065D) less than -.0065E) Need additional information.Answer: A Difficulty: Medium Page: 258-25918. If you have a portfolio of two risky stocks which turns out to have no diversification benefit. Thereason you have no diversification is the returnsA) are too small.B) move perfectly opposite of one another.C) are too large to offset.D) move perfectly with one another.E) are completely unrelated to one another.Answer: D Difficulty: Easy Page: 26419. A portfolio will usually containA) one riskless asset.B) one risky asset.C) two or more assets.D) no assets.E) None of the above.Answer: C Difficulty: Easy Page: 26120. The variance of Stock A is .004, the variance of the market is .007 and the covariance between thetwo is .0026. What is the correlation coefficient?A) .9285B) .8542C) .5010D) .4913E) .3510Answer: D Difficulty: Medium Page: 260Rationale:Standard deviation of B = .06325, Standard deviation of the market = .08366CORR = COV/(SDA)(SDM) = .0026/(.06325)(.08366) = .491321. If the correlation between two stocks is +1, then a portfolio combining these two stocks will have avariance that isA) less than the weighted average of the two individual variances.B) greater than the weighted average of the two individual variances.C) equal to the weighted average of the two individual variances.D) less than or equal to average variance of the two weighted variances, depending on otherinformation.E) None of the above.Answer: C Difficulty: Medium Page: 26422. The opportunity set of portfolios isA) all possible return combinations of those securities.B) all possible risk combinations of those securities.C) all possible risk-return combinations of those securities.D) the best or highest risk-return combination.E) the lowest risk-return combination.Answer: C Difficulty: Medium Page: 26723. A portfolio has 50% of its funds invested in Security One and 50% of its funds invested in SecurityTwo. Security One has a standard deviation of 6. Security Two has a standard deviation of 12. The securities have a coefficient of correlation of .5. Which of the following values is closest toportfolio variance?A) .0027B) .0063C) .0095D) .0104E) One must have covariance to calculate expected value.Answer: B Difficulty: Medium Page: 262Rationale: Var. = .52(.06)2 + .52(.12)2 + 2(.5)(.5)(.5)(6)(12) = .0009 + .0036 + .0018 = .006324. A portfolio has 25% of its funds invested in Security C and 75% of its funds invested in Security D.Security C has an expected return of 8% and a standard deviation of 6. Security D has an expected return of 10% and a standard deviation of 10. The securities have a coefficient of correlation of .6.Which of the following values is closest to portfolio return and variance?A) .090; .0081B) .095; .001675C) .095; .0072D) .100; .00849E) Cannot calculate without the number of covariance terms.Answer: C Difficulty: Medium Page: 261-262Rationale:E(R) = .25(.08) + .75(.10) = .095 = 9.5%Variance = .252(.06)2 + .752(.10)2 + 2(.25)(.75)(.06)(.60)(.10) = .007225. When many assets are included in a portfolio or index the risk of the portfolio or index will beA) greater than the risk of the securities because the correlations are greater than 1.B) equal to the risk of the securities because the correlations are equal to 1.C) less than the risk of the securities because the correlations are usually less than 1.D) unaffected by the risk of securities because their correlations are less than 1.E) None of the above.Answer: C Difficulty: Medium Page: 26426. The efficient set of portfoliosA) contains the portfolio combinations with the highest return for a given level of risk.B) contains the portfolio combinations with the lowest risk for a given level of return.C) is the lowest overall risk portfolio.D) Both A and BE) Both A and C.Answer: D Difficulty: Medium Page: 26727. Diversification can effectively reduce risk. Once a portfolio is diversified the type of riskremaining isA) individual security risk.B) riskless security risk.C) risk related to the market portfolio.D) total standard deviations.E) None of the above.Answer: C Difficulty: Easy Page: 27428. For a highly diversified equally weighted portfolio with a large number of securities, the portfoliovariance isA) the average covariance.B) the average expected value.C) the average variance.D) the weighted average expected value.E) the weighted average variance.Answer: A Difficulty: Medium Page: 273-27429. A well-diversified portfolio has negligibleA) expected return.B) systematic risk.C) unsystematic risk.D) variance.E) Both C and D.Answer: C Difficulty: Easy Page: 27430. The CML is the pricing relationship betweenA) efficient portfolios and beta.B) the risk-free asset and standard deviation of the portfolio return.C) the optimal portfolio and the standard deviation of portfolio return.D) beta and the standard deviation of portfolio return.E) None of the above.Answer: C Difficulty: Medium Page: 27931. The SML is the equilibrium pricing relationship forA) efficient portfolios.B) single securities.C) inefficient portfolios.D) All of the above.E) None of the above.Answer: D Difficulty: Easy Page: 285-28632. A typical investor is assumed to beA) a fair gambler.B) a gambler.C) a single security holder.D) risk averse.E) risk neutral.Answer: D Difficulty: Medium Page: 27533. You've owned a share of stock for 6 years. It returned 5% in 3 of those years and -5% in the other3. What was the variance?A) 0B) .0015C) .0030D) .0150E) .0400Answer: C Difficulty: Medium Page: 256-257Rationale:VAR= {(5-0)2 + (5-0)2 +(5-0)2 + (5-0)2 +(5-0)2 + (5-0)2/5 - 3034. The total number of variance and covariance terms in portfolio is N2. How many of these would be(including non-unique) covariance's?A) NB) N2C) N2 - ND) N2 - N/2E) None of the above.Answer: C Difficulty: Medium Page: 27235. Total risk can be divided intoA) standard deviation and variance.B) standard deviation and covariance.C) portfolio risk and beta.D) systematic risk and unsystematic risk.E) portfolio risk and covariance.Answer: D Difficulty: Easy Page: 27436. Beta measuresA) the ability to diversify risk.B) how an asset covaries with the market.C) the actual return on an asset.D) the standard of the assets' returns.E) All of the above.Answer: B Difficulty: Medium Page: 28337. The dominant portfolio with the lowest possible risk measures isA) the efficient frontier.B) the minimum variance portfolio.C) the upper tail of the efficient set.D) the tangency portfolio.E) None of the above.Answer: B Difficulty: Medium Page: 26638. The measure of beta associates most closely withA) idiosyncratic risk.B) risk-free return.C) systematic risk.D) unexpected risk.E) unsystematic risk.Answer: C Difficulty: Easy Page: 26939. An efficient set of portfolios isA) the complete opportunity set.B) the portion of the opportunity set below the minimum variance portfolio.C) only the minimum variance portfolio.D) the dominant portion of the opportunity set.E) only the maximum return portfolio.Answer: D Difficulty: Medium Page: 27040. A stock with a beta of zero would be expected to have a rate of return equal toA) the risk-free rate.B) the market rate.C) the prime rate.D) the average AAA bond.E) None of the above.Answer: A Difficulty: Medium Page: 28541. The combination of the efficient set of portfolios with a riskless lending and borrowing rate resultsinA) the capital market line which shows that all investors will only invest in the riskless asset.B) the capital market line which shows that all investors will invest in a combination of theriskless asset and the tangency portfolio.C) the security market line which shows that all investors will invest in the riskless asset only.D) the security market line which shows that all investors will invest in a combination of theriskless asset and the tangency portfolio.E) None of the above.Answer: B Difficulty: Medium Page: 27842. According to the CAPMA) the expected return on a security is negatively and non-linearly related to the security's beta.B) the expected return on a security is negatively and linearly related to the security's beta.C) the expected return on a security is positively and linearly related to the security's variance.D) the expected return on a security is positively and non-linearly related to the security's beta.E) the expected return on a security is positively and linearly related to the security's beta.Answer: E Difficulty: Easy Page: 28243. The diversification effect of a portfolio of two stocksA) increases as the correlation between the stocks declines.B) increases as the correlation between the stocks rises.C) decreases as the correlation between the stocks rises.D) Both A and C.E) None of the above.Answer: A Difficulty: Medium Page: 26644. The elements along the diagonal of the Variance / Covariance matrix areA) covariances.B) security weights.C) security selections.D) variances.E) None of the above.Answer: D Difficulty: Medium Page: 27245. The elements in the off-diagonal positions of the Variance / Covariance matrix areA) covariances.B) security selections.C) variances.D) security weights.E) None of the above.Answer: A Difficulty: Medium Page: 27246. The separation principle states that an investor willA) choose any efficient portfolio and invest some amount in the riskless asset to generate theexpected return.B) choose an efficient portfolio based on individual risk tolerance or utility.C) never choose to invest in the riskless asset because the expected return on the riskless asset islower over time.D) invest only in the riskless asset and tangency portfolio choosing the weights based onindividual risk tolerance.E) All of the above.Answer: D Difficulty: Medium47. The beta of a security is calculated byA) dividing the covariance of the security with the market by the variance of the market.B) dividing the correlation of the security with the market by the variance of the market.C) dividing the variance of the market by the covariance of the security with the market.D) dividing the variance of the market by the correlation of the security with the market.E) None of the above.Answer: A Difficulty: Medium Page: 28348. If investors possess homogeneous expectations over all assets in the market portfolio, when risklesslending and borrowing is allowed, the market portfolio is defined toA) be the same portfolio of risky assets chosen by all investors.B) have the securities weighted by their market value proportions.C) be a diversified portfolio.D) All of the above.E) None of the above.Answer: D Difficulty: Medium Page: 28049. A portfolio contains two assets. The first asset comprises 40% of the portfolio and has a beta of 1.2.The other asset has a beta of 1.5. The portfolio beta isA) 1.35B) 1.38C) 1.42D) 1.50E) 1.55Answer: B Difficulty: Medium Page: 287Rationale:βp = .4(1.2)+.6(1.5)=1.3850. A portfolio contains four assets. Asset 1 has a beta of .8 and comprises 30% of the portfolio. Asset2 has a beta of 1.1 and comprises 30% of the portfolio. Asset3 has a beta of 1.5 and comprises 20%of the portfolio. Asset 4 has a beta of 1.6 and comprises the remaining 20% of the portfolio. If the riskless rate is expected to be 3% and the market risk premium is 6%, what is the beta of theportfolio?A) 0.80B) 1.10C) 1.19D) 1.25E) 1.40Answer: C Difficulty: Hard Page: 287Rationale:βp = .3(.8)+.3(1.1)+.2(1.5)+.2(1.6)=1.1951. The characteristic line is graphically depicted asA) the plot of the relationship between beta and expected return.B) the plot of the returns of the security against the beta.C) the plot of the security returns against the market index returns.D) the plot of the beta against the market index returns.E) None of the above.Answer: C Difficulty: Medium Page: 281-28252. Recent research by Fama and French calls into questions the CAPM because they findA) average security returns are negatively related to the firm P/E and M/B ratios.B) P/E and M/B are only two of several factors explaining average returns.C) a weak relationship between average returns and beta for 1941 to 1990 and no relationshipfrom 1963 to 1990.D) Both A and C.E) Both B and C.Answer: D Difficulty: Hard Page: 29553. Further study to evaluate the Fama-French results and the CAPM are needed becauseA) P/E and M/B may be two of a large set of factors which were found due to hindsight bias.B) A positive relationship is found over the period 1927 to 1990 indicating more than 50 years ofdata are necessary for proper CAPM testing.C) Annual data based estimates of beta show positive relationships to average returns, whilemonthly betas do not.D) All of the above.E) None of the above.Answer: D Difficulty: Hard Page: 295-296Essay Questions54. Given the following data:Year Returns – Ink, Inc. Returns – S & P 500 1 10% 15% 2 0% -2% 3 -5% -2% 4 15 10% 5 5% 0%Calculate the covariance between Ink and the S&P 500.Difficulty: Hard Page: 258-259 Answer:R I IRR I - IR R SP SP R R SP –SP R.10 .05 .05 .15 .042.108 .00 .05 -.05 -.02 .042 -.062 -.05 .05 -.10 -.02 .042 -.062 .15 .05 .10 .10 .042 .058 .05.05.00 .00 .0421-.042(R I - I R ) x (R SP –SP R ).05 x.108 .0054 -.05 x -.062 .0031 -.10 x -.062 .0062 .10 x .058 .00580 x -.402.0205/5=.004155. A portfolio is made up of 75% of stock 1, and 25% of stock 2. Stock 1 has a variance of .08, andstock 2 has a variance of .035. The covariance between the stocks is -.001. Calculate both the variance and the standard deviation of the portfolio. Difficulty: Medium Page: 262 Answer: σ² = (.75)²(.08) + (.25)²(.035) + 2(.25)(.75)(-.001) = .0468 σ = .216356. Illustrate and explain the impact of adding securities to a portfolio assuming the securities are ofaverage correlation with each other. Difficulty: Medium Page: 274Answer:As N increases, portfolio risk decreases. As N gets large, portfolio risk approaches the market risk.For details please refer to the text Figure 10.7 page 274.57. Given the following information on 3 stocks:Stock A Stock B Stock C T-Bills Market PortExp. Return .19 .15 .09 .07 .18Variance .0200 .1196 .0205 .0000 .0064Covariance withMkt Portfolio .007 .0045 .0013 .0000 .0064Using the CAPM, calculate the expected return for Stock's A, B, and C. Which stocks would you recommend purchasing?Difficulty: Hard Page: 285-287Answer:B A = .0070/.0064 = 1.094; ra = .07 + (.18-.07)1.094 = .1903B B = .0045/.0064 = 0.703; rb = .07 + (.18-.07)0.703 = .1473B C = .0013/.0064 = 0.203; rc = .07 + (.18-.07)0.203 = .0.923Indifferent on A as .1903 = .19.Would buy B as .15 > .1473.Would not buy C as .09 < .0923.58. Returns for the IC Company and for the S&P 500 Index over the previous 4-year period are givenbelow:Year IC Co. S & P 5001 30% 17%2 0% 20%3 -8% 7%4 0% 5%What are the average returns on IC and on the S&P 500 index? If you had invested $1.00 in IC, how much would you have had after 4 years? What is the correlation between the returns on IC and the S&P?Difficulty: Medium Page: 259Answer:Average return is 22/4 = 5.5% for IC and 49/4 = 12.25% for the S&P.After 4 years $1.00 in IC grows to $1.00(1.30)(.92) = 1.196 = $1.20.For n=4σIC = 14.52, σSP = 6.38, σIC,SP = 46.125, determining ( r IC,SP ) =0.498For n-1 = 3σIC = 16.76 σSP = 7.37 σIC,SP = 61.50 determining (r IC,SP ) =. 49859. Draw and explain the relationship between the opportunity set for a two asset portfolio when thecorrelation is: [Choose from -1, -.5, 0, +.5, and +1] Difficulty: Hard Page: 267-268 Answer: ∙ Opportunity set is made up of a portfolio of two asset combinations with weights from (0,100) to (100,0). ∙ Upper point--maximum return portfolio, 100% in highest return sec. ∙ Inflection point--minimum variance portfolio ∙ See diagram, pg. 267MRPStd. DeviationRpOpportunity SetBetween the MVP (Minimum Variance Portfolio) andthe MRP (Maximum Return Portfolio) is the efficient set of portfolios.60. The diagram below represents an opportunity set for a two asset combination. Indicate the correctefficient set with labels; explain why it is so. Difficulty: Hard Page: 267-268 Answer: ∙ Efficient set is portion of opportunity set that dominates. ∙ Provides maximum return for given risk or converse.MRPStd. DeviationRpOpportunity SetA is on the efficient frontier with the best return to risk combination. Portfolioson the frontier dominate all other portfolios. A dominates both B and C. B has a higher standard deviation for the same return while C has a lower return for the same standard deviation.ABCXX。