EXAM 3 CHAPTER 11
B. minimum variance portfolio.
A dominant portfolio within an opportunity set that has the lowest possible level of risk is referred to as the: A. efficient frontier. B. minimum variance portfolio. C. upper tail of the efficient set. D. tangency portfolio. E. optimal covariance portfolio.
D. 34.04%
A portfolio consists of Stocks A and B and has an expected return of 11.6 percent. Stock A has an expected return of 17.8 percent while Stock B is expected to return 8.4 percent. What is the portfolio weight of Stock A? A. 29.87% B. 61.98% C. 32.58% D. 34.04% E. 67.42%
D. 12.47%
A portfolio consists of three stocks. There are 540 shares of Stock A valued at $24.20 share, 310 shares of Stock B valued at $48.10 a share, and 200 shares of Stock C priced at $26.50 a share. Stocks A, B, and C are expected to return 8.3 percent, 16.4 percent, and 11.7 percent, respectively. What is the expected return on this portfolio? A. 12.50% B. 11.67% C. 12.78% D. 12.47% E. 11.87%
B. .86
A portfolio contains two securities and has a beta of 1.08. The first security comprises 54 percent of the portfolio and has a beta of 1.27. What is the beta of the second security? A. .79 B. .86 C. .62 D. .82 E. .93
C. 11.56%; .015688
A portfolio has 38 percent of its funds invested in Security C and 62 percent invested in Security D. Security C has an expected return of 8.47 percent and a standard deviation of 7.12 percent. Security D has an expected return of 13.45 percent and a standard deviation of 16.22 percent. The securities have a coefficient of correlation of .89. What are the portfolio rate of return and variance values? A. 11.09%; .124031 B. 11.56%; .127620 C. 11.56%; .015688 D. 10.87%; .014308 E. 10.87%; .127620
B. .007295
A portfolio has 45 percent of its funds invested in Security One and 55 percent invested in Security Two. Security One has a standard deviation of 6 percent. Security Two has a standard deviation of 12 percent. The securities have a coefficient of correlation of .62. What is the portfolio variance? A. .006946 B. .007295 C. .007157 D. .008104 E. .007506
E. 47.92%
A portfolio is comprised of 100 shares of Stock A valued at $22 a share, 600 shares of Stock B valued at $17 each, 400 shares of Stock C valued at $46 each, and 200 shares of Stock D valued at $38 each. What is the portfolio weight of Stock C? A. 46.87% B. 48.09% C. 42.33% D. 45.27% E. 47.92%
C. 12.34%
A portfolio is entirely invested into BBB stock, which is expected to return 16.4 percent, and ZI bonds, which are expected to return 8.6 percent. 48 percent of the funds are invested in BBB and the rest in ZI. What is the expected return on the portfolio? A. 13.64% B. 14.36% C. 12.34% D. 14.20% E. 11.69%
C. on
A security that is fairly priced will have a return _____ the security market line. A. below B. on or below C. on D. on or above E. above
A. the risk-free rate.
A stock with a beta of zero would be expected to have a rate of return equal to: A. the risk-free rate. B. the market rate. C. the prime rate. D. the market rate less the risk-free rate. E. zero.
C. yielded a higher return than expected for the level of risk assumed.
A stock with an actual return that lies above the security market line has: A. more systematic risk than the overall market. B. more risk than warranted based on the realized rate of return. C. yielded a higher return than expected for the level of risk assumed. D. less systematic risk than the overall market. E. yielded a return equivalent to the level of risk assumed.
E. positively and linearly related to the security's beta.
According to the capital asset pricing model, the expected return on a security is: A. negatively and non-linearly related to the security's beta. B. negatively and linearly related to the security's beta. C. positively and linearly related to the security's variance. D. positively and non-linearly related to the security's beta. E. positively and linearly related to the security's beta.
D. the dominant portion of the opportunity set.
An efficient set of portfolios is comprised of: A. a complete opportunity set. B. the portion of the opportunity set located 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.
C. total; systematic
As we add more diverse securities to a portfolio, the ____ risk of the portfolio will decrease while the _____ risk will not. A. total; unsystematic B. systematic; unsystematic C. total; systematic D. systematic; total E. unsystematic; total
D. at the far-left point of the set
Assume you are looking at an opportunity set representing many securities. Where would the minimum variance portfolio be located in relation to this set? A. at the lowest point of the set B. in the exact center of the set C. at the far-right point of the set D. at the far-left point of the set E. at the highest point of the set
A. 6.23%
BPJ stock is expected to earn 14.8 percent in a recession, 6.3 percent in a normal economy, and lose 4.7 percent in a booming economy. The probability of a boom is 20 percent while the probability of a normal economy is 55 percent. What is the expected rate of return on this stock? A. 6.23% B. 6.72% C. 6.81% D. 7.60% E. 8.11%
B. ρ.
Correlation is expressed as the symbol: A. α. B. ρ. C. β. D. c. E. є.
B. may be less than the variance of the least risky stock in the portfolio.
If a stock portfolio is well diversified, then the portfolio variance: A. will equal the variance of the most volatile stock in the portfolio. B. may be less than the variance of the least risky stock in the portfolio. C. must be equal to or greater than the variance of the least risky stock in the portfolio. D. will be a weighted average of the variances of the individual securities in the portfolio. E. will be an arithmetic average of the variances of the individual securities in the portfolio.
B. move perfectly opposite to one another.
If the correlation between two stocks is -1, the returns on the stocks: A. generally move in the same direction. B. move perfectly opposite to one another. C. are unrelated to one another. D. have standard deviations of equal size but opposite signs. E. totally offset each other producing a rate of return of zero.
A. .20
If the covariance of Stock A with Stock B is .20, then what is the covariance of Stock B with Stock A? A. .20 B. .80 C. 5 D. 4 E. -1.20
C. 15.83%
Kali's Ski Resort, Inc. stock is quite cyclical. In a boom economy, the stock is expected to return 30 percent in comparison to 12 percent in a normal economy and a negative 20 percent in a recessionary period. The probability of a recession is 15 percent while there is a 30 percent chance of a boom economy. The remainder of the time, the economy will be at normal levels. What is the standard deviation of the returns? A. 10.05% B. 12.60% C. 15.83% D. 17.46% E. 25.04%
C. 3.18%
RTF stock is expected to return 10.6 percent if the economy booms and only 4.2 percent if the economy goes into a recessionary period. The probability of a boom is 55 percent while the probability of a recession is 45 percent. What is the standard deviation of the returns on RTF stock? A. 4.03% B. 2.97% C. 3.18% D. 3.69% E. 5.27%
C. systematic
Risk that affects a large number of assets, each to a greater or lesser degree, is called _____ risk. A. idiosyncratic B. diversifiable C. systematic D. asset-specific E. total
D. unsystematic
Risk that affects at most a small number of assets is called _____ risk. A. portfolio B. nondiversifiable C. market D. unsystematic E. total
A. total; systematic
Standard deviation measures _____ risk while beta measures ____ risk. A. total; systematic B. nondiversifiable; diversifiable C. unsystematic; total D. unsystematic; systematic E. total; unsystematic
B. Stock B
Stock A has a beta of .68 and an expected return of 8.1 percent. Stock B has a 1.42 beta and expected return of 13.9 percent. Stock C has a 1.23 beta and an expected return of 12.4 percent. Stock D has a 1.31 beta and an expected return of 12.6 percent. Stock E has a .94 beta and an expected return of 9.8 percent. Which one of these stocks is correctly priced if the risk-free rate of return is 2.5 percent and the market risk premium is 8 percent? A. Stock A B. Stock B C. Stock C D. Stock D E. Stock E
D. Stock D
Stock A has a beta of .69 and an expected return of 9.27 percent. Stock B has a 1.13 beta and an expected return of 11.88 percent. Stock C has a 1.48 beta and an expected return of 15.31 percent. Stock D has a beta of .71 and an expected return of 8.79 percent. Lastly, Stock E has a 1.45 beta and an expected return of 14.04 percent. Which one of these stocks is correctly priced if the risk-free rate of return is 3.6 percent and the market rate of return is 10.8 percent? A. Stock A B. Stock B C. Stock C D. Stock D E. Stock E
C. 1.038
Stock A has a beta of 1.2, Stock B's beta is 1.46, and Stock C's beta is .72. If you invest $2,000 in Stock A, $3,000 in Stock B, and $5,000 in Stock C, what will be the beta of your portfolio? A. 1.008 B. 1.014 C. 1.038 D. 1.067 E. 1.127
E. -.1807
Stock A has a variance of .1428 while Stock B's variance is .0910. The covariance of the returns for these two stocks is -.0206. What is the correlation coefficient? A. -.1505 B. -.1146 C. -.1480 D. -.1643 E. -.1807
D. 1.47
Stock A has an expected return of 12 percent and a variance of .0203. The market has an expected return of 11 percent and a variance of .0093. What is the beta of Stock A if the covariance of Stock A with the market is .0137. A. .68 B. .76 C. 1.55 D. 1.47 E. 1.32
B. 13.70%
Stock A has an expected return of 17.8 percent, and Stock B has an expected return of 9.6 percent. However, the risk of Stock A as measured by its variance is 3 times that of Stock B. If the two stocks are combined equally in a portfolio, what would be the portfolio's expected return? A. 13.37% B. 13.70% C. 15.75% D. 12.41% E. 14.55%
D. .003876
Stock A is expected to return 12 percent in a normal economy and lose 7 percent in a recession. Stock B is expected to return 8 percent in a normal economy and 2 percent in a recession. The probability of the economy being normal is 80 percent and the probability of a recession is 20 percent. What is the covariance of these two securities? A. .004203 B. .004115 C. .003280 D. .003876 E. .003915
B. .006563
Stock A is expected to return 14 percent in a normal economy and lose 21 percent in a recession. Stock B is expected to return 11 percent in a normal economy and 5 percent in a recession. The probability of the economy being normal is 75 percent with a 25 percent probability of a recession. What is the covariance of these two securities? A. .007006 B. .006563 C. .005180 D. .007309 E. .006274
C. $3,684
Stock K is expected to return 12.4 percent while the return on Stock L is expected to be 8.6 percent. You have $10,000 to invest in these two stocks. How much should you invest in Stock L if you desire a combined return from the two stocks of 11 percent? A. $3,511 B. $4,209 C. $3,684 D. $2,907 E. $3,415
D. 11.4%
Stock M has a beta of 1.2. The market risk premium is 7.8 percent and the risk-free rate is 3.6 percent. Assume you compile a portfolio equally invested in Stock M, Stock N, and a risk-free security that has a portfolio beta equal to the overall market. What is the expected return on the portfolio? A. 11.2% B. 10.8% C. 10.4% D. 11.4% E. 11.7%
B. .004056
Stock S is expected to return 12 percent in a boom and 6 percent in a normal economy. Stock T is expected to return 20 percent in a boom and 4 percent in a normal economy. There is a 40 percent probability that the economy will boom; otherwise, it will be normal. What is the portfolio variance if 30 percent of the portfolio is invested in Stock S and 70 percent is invested in Stock T? A. .002220 B. .004056 C. .006224 D. .008080 E. .098000
A. 1.4%
Stock S is expected to return 12 percent in a boom, 9 percent in a normal economy, and 2 percent in a recession. Stock T is expected to return 4 percent in a boom, 6 percent in a normal economy, and 9 percent in a recession. There is a 10 percent probability of a boom and a 25 percent probability of a recession. What is the standard deviation of a portfolio which is comprised of $4,500 of Stock S and $3,000 of Stock T? A. 1.4% B. 1.9% C. 2.6% D. 5.7% E. 7.2%
A. beta coefficient.
The amount of systematic risk present in a particular risky asset, relative to the systematic risk present in an average risky asset, is called the particular asset's: A. beta coefficient. B. reward-to-risk ratio. C. total risk. D. diversifiable risk. E. Treynor index.
A. covariance of the security return with the market return by the variance of the market.
The beta of a security is calculated by dividing the: A. covariance of the security return with the market return by the variance of the market. B. correlation of the security return with the market return by the variance of the market. C. variance of the market by the covariance of the security return with the market return. D. variance of the market return by the correlation of the security return with the market return. E. covariance of the security return with the market return by the correlation of the security and market returns.
C. has a vertical intercept at the risk-free rate of return.
The capital market line: A. and the characteristic line are two terms describing the same function. B. intersects the feasible set at its midpoint. C. has a vertical intercept at the risk-free rate of return. D. has a horizontal intercept at the market beta. E. lies tangent to the opportunity set at its minimum point.
C. return on a security and the return on the market.
The characteristic line graphically depicts the relationship between the: A. beta of a security and the return on the security. B. arithmetic average beta of the securities in a portfolio and the weighted average beta of those securities. C. return on a security and the return on the market. D. beta of a security and the return on the market. E. beta of a security and the corresponding beta of the market.
B. capital market line which shows that all investors will invest in a combination of the riskless asset and the tangency portfolio.
The combination of the efficient set of portfolios with a riskless lending and borrowing rate results in the: A. capital market line which shows that all investors will only invest in the riskless asset. B. capital market line which shows that all investors will invest in a combination of the riskless asset and the tangency portfolio. C. security market line which shows that all investors will invest in the minimum variance portfolio. D. security market line which shows that all investors will invest only in the riskless asset. E. characteristic line which shows that all investors will invest in the same combination of securities.
E. 1.35
The common stock of CTI has an expected return of 14.48 percent. The return on the market is 11.6 percent and the risk-free rate of return is 3.42 percent. What is the beta of this stock? A. .95 B. 1.49 C. 1.31 D. 1.42 E. 1.35
A. covariance between A and B divided by the standard deviation of A times the standard deviation of B.
The correlation between Stocks A and B is computed as the: A. covariance between A and B divided by the standard deviation of A times the standard deviation of B. B. standard deviation A divided by the standard deviation of B. C. standard deviation of AB divided by the covariance between A and B. D. variance of A plus the variance of B divided by the covariance of AB. E. square root of the covariance of AB.
D. 9.15%
The economy has a 10 percent chance of booming, 60 percent chance of being normal, and 30 percent chance of going into a recession. A stock is expected to return 16 percent in a boom, 11 percent in a normal, and lose 8 percent in a recession. What is the standard deviation of the returns? A. 5.80% B. 7.34% C. 8.38% D. 9.15% E. 9.87%
B. market risk premium.
The excess return earned by an asset that has a beta of 1.0 over that earned by a risk-free asset is referred to as the: A. market rate of return. B. market risk premium. C. systematic return. D. total return. E. real rate of return.
D. 1.58%
The expected return on HiLo stock is 14.08 percent while the expected return on the market is 11.5 percent. The beta of HiLo is 1.26. What is the risk-free rate of return? A. .41% B. 2.01% C. .69% D. 1.58% E. 1.62%
B. a weighted
The expected return on a portfolio is best described as ____ average of the expected returns on the individual securities held in the portfolio. A. an arithmetic B. a weighted C. a compounded D. a geometric E. a minimum
D. is limited by the returns on the individual securities within the portfolio.
The expected return on a portfolio: A. can be greater than the expected return on the best performing security in the portfolio. B. can be less than the expected return on the worst performing security in the portfolio. C. is independent of the performance of the overall economy. D. is limited by the returns on the individual securities within the portfolio. E. is an arithmetic average of the returns of the individual securities when the weights of those securities are unequal.
D. a mathematical expectation based on a weighted average and not an actual anticipated outcome.
The expected return on a stock that is computed using economic probabilities is: A. guaranteed to equal the actual average return on the stock for the next five years. B. guaranteed to be the minimal rate of return on the stock over the next two years. C. guaranteed to equal the actual return for the immediate twelve month period. D. a mathematical expectation based on a weighted average and not an actual anticipated outcome. E. the actual return you will receive.
A. the risk-free rate of return.
The intercept point of the security market line is the rate of return which corresponds to: A. the risk-free rate of return. B. the market rate of return. C. a value of zero. D. a value of 1.0. E. the beta of the market.
D. security market line.
The linear relation between an asset's expected return and its beta coefficient defines the: A. reward-to-risk ratio. B. covariance line. C. characteristic line. D. security market line. E. market risk premium.
D. 6.4%
The market has an expected rate of return of 9.8 percent. The long-term government bond is expected to yield 4.5 percent and the U.S. Treasury bill is expected to yield 3.4 percent. The inflation rate is 3.1 percent. What is the market risk premium? A. 2.2% B. 3.3% C. 5.3% D. 6.4% E. 6.7%
D. subtracting the risk-free rate of return from the market rate of return.
The market risk premium is computed by: A. adding the risk-free rate of return to the inflation rate. B. adding the risk-free rate of return to the market rate of return. C. subtracting the risk-free rate of return from the inflation rate. D. subtracting the risk-free rate of return from the market rate of return. E. multiplying the risk-free rate of return by the market beta.
C. systematic risk.
The measure of beta associates most closely with: A. idiosyncratic risk. B. the risk-free return. C. systematic risk. D. unexpected risk. E. unsystematic risk.
C. eliminate asset-specific risk.
The primary purpose of portfolio diversification is to: A. increase returns and risks. B. eliminate all risks. C. eliminate asset-specific risk. D. eliminate systematic risk. E. lower both returns and risks.
E. spreading an investment across many diverse assets will eliminate idiosyncratic risk.
The principle of diversification tells us that: A. concentrating an investment in two or three large stocks will eliminate all of your risk. B. concentrating an investment in three companies all within the same industry will greatly reduce your overall risk. C. spreading an investment across five diverse companies will not lower your overall risk at all. D. spreading an investment across many diverse assets will eliminate all of the risk. E. spreading an investment across many diverse assets will eliminate idiosyncratic risk.
E. +1 to -1.
The range of possible correlations between two securities is defined as: A. 0 to +1. B. 0 to-1. C. ≧ 0. D. ≦ 1. E. +1 to -1.
A. .001044
The rate of return on the common stock of Flowers by Flo is expected to be 14 percent in a boom economy, 8 percent in a normal economy, and only 2 percent in a recessionary economy. The probabilities of these economic states are 20 percent for a boom, 70 percent for a normal economy, and 10 percent for a recession. What is the variance of the returns? A. .001044 B. .001280 C. .001863 D. .002001 E. .002471
A. multiplying the security's beta by the market risk premium.
The risk premium for an individual security is computed by: A. multiplying the security's beta by the market risk premium. B. multiplying the security's beta by the risk-free rate of return. C. adding the risk-free rate to the security's expected return. D. dividing the market risk premium by the quantity (1 + Beta). E. dividing the market risk premium by the beta of the security.
D. 14.03%
The risk-free rate of return is 3.68 percent and the market risk premium is 7.84 percent. What is the expected rate of return on a stock with a beta of 1.32? A. 9.17% B. 9.24% C. 13.12% D. 14.03% E. 14.36%
D. combine a riskless asset with the tangency portfolio based on their risk tolerance level.
The separation principle states that an investor will: A. choose between any efficient portfolio and a riskless asset to generate the desired expected return. B. choose a portfolio from the efficient set based on individual risk tolerance. C. never choose to invest in a riskless asset due to the low expected rate of return. D. combine a riskless asset with the tangency portfolio based on their risk tolerance level. E. combine a riskless asset with the minimum variance portfolio based on their risk tolerance level.
E. market risk premium.
The slope of an asset's security market line is the: A. reward-to-risk ratio. B. portfolio weight. C. beta coefficient. D. risk-free interest rate. E. market risk premium.
C. the portfolio concentration in a single cyclical industry increases.
The standard deviation of a portfolio will tend to increase when: A. a risky asset in the portfolio is replaced with U.S. Treasury bills. B. one of two stocks related to the airline industry is replaced with a third stock that is unrelated to the airline industry. C. the portfolio concentration in a single cyclical industry increases. D. the weights of the various diverse securities become more evenly distributed. E. short-term bonds are replaced with Treasury Bills.
D. 12.72%
The stock of Big Joe's has a beta of 1.38 and an expected return of 16.26 percent. The risk-free rate of return is 3.42 percent. What is the expected return on the market? A. 7.60% B. 8.04% C. 9.30% D. 12.72% E. 12.16%
C. 16.47%
The stock of Martin Industries has a beta of 1.43. The risk-free rate of return is 3.6 percent and the market risk premium is 9 percent. What is the expected rate of return? A. 11.32% B. 14.17% C. 16.47% D. 17.48% E. 18.03%
A. beta of 1.0.
The systematic risk of the market is measured by a: A. beta of 1.0. B. beta of zero. C. standard deviation of 1.0. D. standard deviation of zero. E. variance of 1.0.
D. .5642
The variance of Stock A is .0036, the variance of the market is .0059, and the covariance between the two is .0026. What is the correlation coefficient? A. .8776 B. .1224 C. .5010 D. .5642 E. .4918
E. covariances between the individual securities.
The variance of a portfolio comprised of many securities is primarily dependent upon the: A. variances of the securities held within the portfolio. B. beta of the portfolio. C. portfolio's correlation with the market. D. covariance between the overall portfolio and the market. E. covariances between the individual securities.
D. 2.2%
There is a 10 percent probability the economy will boom and a 20 percent probability it will fall into a recession. Stock A is expected to return 15 percent in a boom, 9 percent in a normal economy, and lose 14 percent in a recession. Stock B should return 10 percent in a boom, 6 percent in a normal economy, and 2 percent in a recession. Stock C is expected to return 5 percent in a boom, 7 percent in a normal economy, and 8 percent in a recession. What is the standard deviation of a portfolio invested 20 percent in Stock A, 30 percent in Stock B, and 50 percent in Stock C? A. .6% B. .9% C. 1.8% D. 2.2% E. 4.9%
B. .000247
There is a 15 percent probability the economy will boom; otherwise, it will be normal. Stock G should return 15 percent in a boom and 8 percent in a normal economy. Stock H should return 9 percent in a boom and 6 percent otherwise. What is the variance of a portfolio consisting of $3,500 in Stock G and $6,500 in Stock H? A. .000209 B. .000247 C. .002098 D. .037026 E. .073600
B. 8.25%
There is a 20 percent probability the economy will boom, 70 percent probability it will be normal, and a 10 percent probability of a recession. Stock A will return 18 percent in a boom, 11 percent in a normal economy, and lose 10 percent in a recession. Stock B will return 9 percent in boom, 7 percent in a normal economy, and 4 percent in a recession. Stock C will return 6 percent in a boom, 9 percent in a normal economy, and 13 percent in a recession. What is the expected return on a portfolio which is invested 20 percent in Stock A, 50 percent in Stock B, and 30 percent in Stock C? A. 7.40% B. 8.25% C. 8.33% D. 9.45% E. 9.50%
C. 2.6%
There is a 25 percent probability the economy will boom; otherwise, it will be normal. Stock Q is expected to return 18 percent in a boom and 9 percent otherwise. Stock R is expected to return 9 percent in a boom and 5 percent otherwise. What is the standard deviation of a portfolio that is invested 40 percent in Stock Q and 60 percent in Stock R? A. .7% B. 1.4% C. 2.6% D. 6.8% E. 8.1%
A. can be effectively eliminated through portfolio diversification.
Unsystematic risk: A. can be effectively eliminated through portfolio diversification. B. is compensated for by the risk premium. C. is measured by beta. D. cannot be avoided if you wish to participate in the financial markets. E. is related to the overall economy.
C. market value of the total shares held in each stock.
When computing the expected return on a portfolio of stocks the portfolio weights are based on the: A. number of shares owned in each stock. B. price per share of each stock. C. market value of the total shares held in each stock. D. original amount invested in each stock. E. cost per share of each stock held.
C. covariance and variance
Which of these are squared values? A. variance, correlation, and covariance B. variance and beta C. covariance and variance D. correlation, beta, variance E. covariance and correlation
B. a well-respected chairman of the Federal Reserve Bank suddenly resigns
Which one of the following is an example of a nondiversifiable risk? A. a well-respected president of a firm suddenly resigns B. a well-respected chairman of the Federal Reserve Bank suddenly resigns C. a key employee suddenly resigns and accepts employment with a key competitor D. a well-managed firm reduces its work force and automates several jobs E. a poorly managed firm suddenly goes out of business due to lack of sales
C. an oil tanker runs aground and spills its cargo
Which one of the following is an example of unsystematic risk? A. the inflation rate increases unexpectedly B. the federal government lowers income taxes C. an oil tanker runs aground and spills its cargo D. interest rates decline by one-half of one percent E. the GDP rises by .5 percent more than anticipated
C. the Federal Reserve increases interest rates
Which one of the following is the best example of systematic risk? A. the price of lumber declines sharply B. airline pilots go on strike C. the Federal Reserve increases interest rates D. a hurricane hits a tourist destination E. people become diet conscious and avoid fast food restaurants
C. The expected return is a weighted average where the probabilities of the economic states are used as the weights.
Which one of the following statements is correct concerning the expected rate of return on an individual stock given various states of the economy? A. The expected return is a geometric average where the probabilities of the economic states are used as the exponential powers. B. The expected return is an arithmetic average of the individual returns for each state of the economy. C. The expected return is a weighted average where the probabilities of the economic states are used as the weights. D. The expected return is equal to the summation of the values computed by dividing the expected return for each economic state by the probability of the state. E. As long as the total probabilities of the economic states equal 100 percent, then the expected return on the stock is a geometric average of the expected returns for each economic state.
B. The standard deviation of a portfolio can often be lowered by changing the weights of the securities in the portfolio.
Which one of the following statements is correct concerning the standard deviation of a portfolio? A. The greater the diversification of a portfolio, the greater the standard deviation of that portfolio. B. The standard deviation of a portfolio can often be lowered by changing the weights of the securities in the portfolio. C. Standard deviation is used to determine the amount of risk premium that should apply to a portfolio. D. The standard deviation of a portfolio is equal to the geometric average standard deviation of the individual securities held within that portfolio. E. The standard deviation of a portfolio is equal to a weighted average of the standard deviations of the individual securities held within the portfolio.
E. a decrease in the portfolio standard deviation
Which one of the following would indicate a portfolio is being effectively diversified? A. an increase in the portfolio beta B. a decrease in the portfolio beta C. an increase in the portfolio rate of return D. an increase in the portfolio standard deviation E. a decrease in the portfolio standard deviation
B. Determine the tangency point between the risk-free rate and the efficient set of risky assets and determine how to combine the tangency point portfolio with risk-free assets to match the investor's risk tolerance level.
Which one of these best describes steps of the separation principle? A. Determine the beta that best fits an investor's risk tolerance level and then determine which assets can be combined to create a portfolio that matches that beta. B. Determine the tangency point between the risk-free rate and the efficient set of risky assets and determine how to combine the tangency point portfolio with risk-free assets to match the investor's risk tolerance level. C. Determine the appropriate beta for an individual investor and then determine the most efficient set of risky assets that falls below that beta level. D. From a pool of assets determine which pairs of assets have the lowest covariances and then determine how to combine these pairs into a portfolio that matches the investor's preferred beta. E. Determine an investor's risk tolerance level and then determine which portfolio rate of return best fits that level of risk tolerance.
C. ρ< 1
Which one of these conditions must exist if the standard deviation of a portfolio is to be less than the weighted average of the standard deviations of the individual securities held within that portfolio? A. β< 1 B. Rm> 1 C. ρ< 1 D. β = 0 E. ρ >1
B. Stock A; because it has a higher expected return and appears to be less risky than Stock B
You are comparing Stock A to Stock B. Stock A will return 9 percent in a boom and 4 percent in a recession. Stock B will return 15 percent in a boom and lose 6 percent in a recession. The probability of a boom is 60 percent with a 40 percent chance of a recession. Given this information, which one of these two stocks should you prefer and why? A. Stock A; because it has a higher expected return and appears to be more risky than Stock B B. Stock A; because it has a higher expected return and appears to be less risky than Stock B C. Stock A; because it has a slightly lower expected return but appears to be significantly less risky than Stock B D. Stock B; because it has a higher expected return and appears to be just slightly more risky than Stock A E. Stock B; because it has a higher expected return and appears to be less risky than Stock A
E. increase as the probability of a boom economy increases.
You are considering purchasing stock S. This stock has an expected return of 12 percent if the economy booms, 8 percent if the economy is normal, and 3 percent if the economy goes into a recessionary period. The overall expected rate of return on this stock will: A. be equal to one-half of 8 percent if there is a 50 percent chance of an economic boom. B. vary inversely with the growth of the economy. C. increase as the probability of a recession increases. D. be independent of the probability of each economic state occurring. E. increase as the probability of a boom economy increases.
A. $50
You desire a portfolio beta of 1.1. Currently, your portfolio consists of $100 invested in Stock A with a beta of 1.4 and $300 in Stock B with a beta of .6. You have another $400 to invest and want to divide it between Stock C with a beta of 1.6 and a risk-free asset. How much should you invest in the risk-free asset to obtain your desired beta? A. $50 B. $100 C. $125 D. $350 E. $300
D. $847
You have a $1,250 portfolio which is invested in Stocks A and B plus a risk-free asset. $350 is invested in Stock A which has a beta of 1.36 and Stock B has a beta of .84. How much needs to be invested in Stock B if you want a portfolio beta of .95? A. $803 B. $951 C. $782 D. $847 E. $791
D. move perfectly in sync with one another.
You have a portfolio comprised of two risky securities. This combination produces no diversification benefit. The lack of diversification benefits indicates the returns on the two securities: A. are too low for their level of risk. B. move perfectly opposite of one another. C. are too large to offset. D. move perfectly in sync with one another. E. are completely unrelated to one another.
D. a strong positive correlation.
You have plotted the monthly returns for two securities for the past five years on the same graph. The pattern of the movements of each of the two securities generally rose and fell to the same degree in step with each other. This indicates the securities have: A. no correlation with each other. B. a weak negative correlation. C. a strong negative correlation. D. a strong positive correlation. E. a weak positive correlation.
C. 5.43%
You recently purchased a stock that is expected to earn 12.6 percent in a booming economy, 8.9 percent in a normal economy and lose 5.2 percent in a recessionary economy. Each economic state is equally likely to occur. What is your expected rate of return on this stock? A. 6.47% B. 8.90% C. 5.43% D. 7.65% E. 7.01%
D. $771.43
You want to compile a $1,000 portfolio which will be invested in Stocks A and B plus a risk-free asset. Stock A has a beta of 1.2 and Stock B has a beta of .7. If you invest $300 in Stock A and want a portfolio beta of .9, how much should you invest in Stock B? A. $700.00 B. $268.40 C. 300.00 D. $771.43 E. $608.15
B. $0
You want to design a portfolio has a beta of zero. Stock A has a beta of 1.69 and Stock B's beta is also greater than 1. You are willing to include both stocks as well as a risk-free security in your portfolio. If your portfolio will have a combined value of $5,000, how much should you invest in Stock B? A. $2,630 B. $0 C. $2,959 D. $3,008 E. $1,487
B. 61.54%
You would like to combine a highly risky stock with a beta of 2.6 with U.S. Treasury bills in such a way that the risk level of the portfolio is equivalent to the risk level of the overall market. What percentage of the portfolio should be invested in Treasury bills? A. 57.91% B. 61.54% C. 50.00% D. 38.46% E. 42.09%
B. 53.48%
You would like to combine a risky stock with a beta of 1.87 with U.S. Treasury bills in such a way that the risk level of the portfolio is equivalent to the risk level of the overall market. What percentage of the portfolio should be invested in the risky stock? A. 54.15% B. 53.48% C. 55.09% D. 52.91% E. 54.67%
E. 1.60
Your portfolio has a beta of 1.18 and consists of 15 percent U.S. Treasury bills, 30 percent Stock A, and 55 percent Stock B. Stock A has a risk level equivalent to that of the overall market. What is the beta of Stock B? A. .55 B. 1.10 C. 1.24 D. 1.40 E. 1.60
D. 1.14
Your portfolio is comprised of 30 percent of Stock X, 50 percent of Stock Y, and 20 percent of Stock Z. Stock X has a beta of .64, Stock Y has a beta of 1.48, and Stock Z has a beta of 1.04. What is the portfolio beta? A. 1.01 B. 1.05 C. 1.09 D. 1.14 E. 1.18
D. 10.59%
Zelo stock has a beta of 1.23. The risk-free rate of return is 2.86 percent and the market rate of return is 11.47 percent. What is the amount of the risk premium on Zelo stock? A. 9.47% B. 12.60% C. 11.54% D. 10.59% E. 12.30%
B. 12.76%
Zoom stock has a beta of 1.46. The risk-free rate of return is 3.07 percent and the market rate of return is 11.81 percent. What is the amount of the risk premium on Zoom stock? A. 8.09% B. 12.76% C. 9.59% D. 10.25% E. 17.24%
