Deck 7: Capital Asset Pricing and Arbitrage Pricing Theory

Question 1

Consider the CAPM. The expected return on the market is 18%. The expected return on a stock with a beta of 1.2 is 20%. What is the risk-free rate?

A) 2%
B) 6%
C) 8%
D) 12%

Answer 1

C
Explanation: 20% = rF + 1.2(18 - rF); rF = 8%

Question 2

Which of the following are assumptions of the simple CAPM model?
I) Individual trades of investors do not affect a stock's price.
II) All investors plan for one identical holding period.
III) All investors analyze securities in the same way and share the same economic view of the world.
IV) All investors have the same level of risk aversion.

A) I, II, and IV only
B) I, II, and III only
C) II, III, and IV only
D) I, II, III, and IV

Answer 2

B

Question 3

In the context of the capital asset pricing model, the systematic measure of risk is captured by ________.

A) unique risk
B) beta
C) the standard deviation of returns
D) the variance of returns

Answer 3

B

Question 4

The market portfolio has a beta of ________.

A) -1
B) 0
C) )5
D) 1

Question 5

The arbitrage pricing theory was developed by ________.

A) Henry Markowitz
B) Stephen Ross
C) William Sharpe
D) Eugene Fama

Question 6

According to the capital asset pricing model, a fairly priced security will plot ________.

A) above the security market line
B) along the security market line
C) below the security market line
D) at no relation to the security market line

Question 7

When all investors analyze securities in the same way and share the same economic view of the world, we say they have ________.

A) heterogeneous expectations
B) equal risk aversion
C) asymmetric information
D) homogeneous expectations

Question 8

Consider the CAPM. The risk-free rate is 5%, and the expected return on the market is 15%. What is the beta on a stock with an expected return of 17%?

A) )5
B) )7
C) 1
D) 1.2

Question 9

Empirical results estimated from historical data indicate that betas ________.

A) are always close to zero
B) are constant over time
C) of all securities are always between zero and 1
D) seem to regress toward 1 over time

Question 10

According to the capital asset pricing model, a security with a ________.

A) negative alpha is considered a good buy
B) positive alpha is considered overpriced
C) positive alpha is considered underpriced
D) zero alpha is considered a good buy

Question 11

In a well-diversified portfolio, ________ risk is negligible.

A) nondiversifiable
B) market
C) systematic
D) unsystematic

Question 12

In a simple CAPM world which of the following statements is (are) correct?
I) All investors will choose to hold the market portfolio, which includes all risky assets in the world.
II) Investors' complete portfolio will vary depending on their risk aversion.
III) The return per unit of risk will be identical for all individual assets.
IV) The market portfolio will be on the efficient frontier, and it will be the optimal risky portfolio.

A) I, II, and III only
B) II, III, and IV only
C) I, III, and IV only
D) I, II, III, and IV

Question 13

Fama and French claim that after controlling for firm size and the ratio of the firm's book value to market value, beta is:
I) Highly significant in predicting future stock returns
II) Relatively useless in predicting future stock returns
III) A good predictor of the firm's specific risk

A) I only
B) II only
C) I and III only
D) I, II, and III

Question 14

If enough investors decide to purchase stocks, they are likely to drive up stock prices, thereby causing ________ and ________.

A) expected returns to fall; risk premiums to fall
B) expected returns to rise; risk premiums to fall
C) expected returns to rise; risk premiums to rise
D) expected returns to fall; risk premiums to rise

Question 15

Investors require a risk premium as compensation for bearing ________.

A) unsystematic risk
B) alpha risk
C) residual risk
D) systematic risk

Question 16

Arbitrage is based on the idea that ________.

A) assets with identical risks must have the same expected rate of return
B) securities with similar risk should sell at different prices
C) the expected returns from equally risky assets are different
D) markets are perfectly efficient

Question 17

An adjusted beta will be ________ than the unadjusted beta.

A) lower
B) higher
C) closer to 1
D) closer to 0

Question 18

Consider the CAPM. The risk-free rate is 6%, and the expected return on the market is 18%. What is the expected return on a stock with a beta of 1.3?

A) 6%
B) 15.6%
C) 18%
D) 21.6%

Question 19

The capital asset pricing model was developed by ________.

A) Kenneth French
B) Stephen Ross
C) William Sharpe
D) Eugene Fama

Question 20

If all investors become more risk averse, the SML will ________ and stock prices will ________.

A) shift upward; rise
B) shift downward; fall
C) have the same intercept with a steeper slope; fall
D) have the same intercept with a flatter slope; rise

Question 21

An important characteristic of market equilibrium is ________.

A) the presence of many opportunities for creating zero-investment portfolios
B) all investors exhibit the same degree of risk aversion
C) the absence of arbitrage opportunities
D) the lack of liquidity in the market

Question 22

You have a $50,000 portfolio consisting of Intel, GE, and Con Edison. You put $20,000 in Intel, $12,000 in GE, and the rest in Con Edison. Intel, GE, and Con Edison have betas of 1.3, 1, and .8, respectively. What is your portfolio beta?

A) 1.048
B) 1.033
C) 1
D) 1.037

Question 23

Consider the one-factor APT. The variance of the return on the factor portfolio is .08. The beta of a well-diversified portfolio on the factor is 1.2. The variance of the return on the well-diversified portfolio is approximately ________.

A) )1152
B) )1270
C) )1521
D) )1342

Question 24

According to the capital asset pricing model, fairly priced securities have ________.

A) negative betas
B) positive alphas
C) positive betas
D) zero alphas

Question 25

Consider the single factor APT. Portfolio A has a beta of 1.3 and an expected return of 21%. Portfolio B has a beta of .7 and an expected return of 17%. The risk-free rate of return is 8%. 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

Question 26

Security A has an expected rate of return of 12% and a beta of 1.1. The market expected rate of return is 8%, and the risk-free rate is 5%. The alpha of the stock is ________.

A) -1.7%
B) 3.7%
C) 5.5%
D) 8.7%

Question 27

In a world where the CAPM holds, which one of the following is not a true statement regarding the capital market line?

A) The capital market line always has a positive slope.
B) The capital market line is also called the security market line.
C) The capital market line is the best-attainable capital allocation line.
D) The capital market line is the line from the risk-free rate through the market portfolio.

Question 28

The graph of the relationship between expected return and beta in the CAPM context is called the ________.

A) CML
B) CAL
C) SML
D) SCL

Question 29

Building a zero-investment portfolio will always involve ________.

A) an unknown mixture of short and long positions
B) only short positions
C) only long positions
D) equal investments in a short and a long position

Question 30

According to the capital asset pricing model, in equilibrium ________.

A) all securities' returns must lie below the capital market line
B) all securities' returns must lie on the security market line
C) the slope of the security market line must be less than the market risk premium
D) any security with a beta of 1 must have an excess return of zero

Question 31

The variance of the return on the market portfolio is .04 and the expected return on the market portfolio is 20%. If the risk-free rate of return is 10%, the market degree of risk aversion, A, is ________.

A) )5
B) 2.5
C) 3.5
D) 5

Question 32

The possibility of arbitrage arises when ________.

A) there is no consensus among investors regarding the future direction of the market, and thus trades are made arbitrarily
B) mispricing among securities creates opportunities for riskless profits
C) two identically risky securities carry the same expected returns
D) investors do not diversify

Question 33

Security X has an expected rate of return of 13% and a beta of 1.15. The risk-free rate is 5%, and the market expected rate of return is 15%. According to the capital asset pricing model, security X is ________.

A) fairly priced
B) overpriced
C) underpriced
D) none of these answers

Question 34

You invest $600 in security A with a beta of 1.5 and $400 in security B with a beta of .90. The beta of this portfolio is ________.

A) 1.14
B) 1.2
C) 1.26
D) 1.5

Question 35

Research has revealed that regardless of what the current estimate of a firm's beta is, beta will tend to move closer to ________ over time.

A) 1
B) 0
C) -1
D) )5

Question 36

In a single-factor market model the beta of a stock ________.

A) measures the stock's contribution to the standard deviation of the market portfolio
B) measures the stock's unsystematic risk
C) changes with the variance of the residuals
D) measures the stock's contribution to the standard deviation of the stock

Question 37

According to the CAPM, which of the following is not a true statement regarding the market portfolio.

A) All securities in the market portfolio are held in proportion to their market values.
B) It includes all risky assets in the world, including human capital.
C) It is always the minimum-variance portfolio on the efficient frontier.
D) It lies on the efficient frontier.

Question 38

Consider the single factor APT. Portfolio A has a beta of .2 and an expected return of 13%. Portfolio B has a beta of .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

Question 39

Consider the multifactor APT with two factors. Portfolio A has a beta of .5 on factor 1 and a beta of 1.25 on factor 2. The risk premiums on the factor 1 and 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%
C) 16.25%
D) 23%

Question 40

Consider the capital asset pricing model. The market degree of risk aversion, A, is 3. The risk premium is 2.25%. If the risk-free rate of return is 4%, the expected return on the market portfolio is ________.

A) 6.75%
B) 9%
C) 10.75%
D) 12%

Question 41

Standard deviation of portfolio returns is a measure of ________.

A) total risk
B) relative systematic risk
C) relative nonsystematic risk
D) relative business risk

Question 42

In his famous critique of the CAPM, Roll argued that the CAPM ________.

A) is not testable because the true market portfolio can never be observed
B) is of limited use because systematic risk can never be entirely eliminated
C) should be replaced by the APT
D) should be replaced by the Fama-French three-factor model

Question 43

A stock's alpha measures the stock's ________.

A) expected return
B) abnormal return
C) excess return
D) residual return

Question 44

Liquidity is a risk factor that ________.

A) has yet to be accurately measured and incorporated into portfolio management
B) is unaffected by trading mechanisms on various stock exchanges
C) has no effect on the market value of an asset
D) affects bond prices but not stock prices

Question 45

Consider two stocks, A and B. Stock A has an expected return of 10% and a beta of 1.2. Stock B has an expected return of 14% and a beta of 1.8. The expected market rate of return is 9% and the risk-free rate is 5%. Security ________ would be considered the better buy because ________.

A) A; it offers an expected excess return of .2%
B) A; it offers an expected excess return of 2.2%
C) B; it offers an expected excess return of 1.8%
D) B; it offers an expected return of 2.4%

Question 46

The SML is valid for ________, and the CML is valid for ________.

A) only individual assets; well-diversified portfolios only
B) only well-diversified portfolios; only individual assets
C) both well-diversified portfolios and individual assets; both well-diversified portfolios and individual assets
D) both well-diversified portfolios and individual assets; well-diversified portfolios only

Question 47

Beta is a measure of ________.

A) total risk
B) relative systematic risk
C) relative nonsystematic risk
D) relative business risk

Question 48

The risk-free rate is 4%. The expected market rate of return is 11%. If you expect stock X with a beta of .8 to offer a rate of return of 12%, then you should ________.

A) buy stock X because it is overpriced
B) buy stock X because it is underpriced
C) sell short stock X because it is overpriced
D) sell short stock X because it is underpriced

Question 49

The risk-free rate and the expected market rate of return are 6% and 16%, respectively. According to the capital asset pricing model, the expected rate of return on security X with a beta of 1.2 is equal to ________.

A) 12%
B) 17%
C) 18%
D) 23%

Question 50

The most significant conceptual difference between the arbitrage pricing theory (APT) and the capital asset pricing model (CAPM) is that the CAPM ________.

A) places less emphasis on market risk
B) recognizes multiple unsystematic risk factors
C) recognizes only one systematic risk factor
D) recognizes multiple systematic risk factors

Question 51

One of the main problems with the arbitrage pricing theory is ________.

A) its use of several factors instead of a single market index to explain the risk-return relationship
B) the introduction of nonsystematic risk as a key factor in the risk-return relationship
C) that the APT requires an even larger number of unrealistic assumptions than does the CAPM
D) the model fails to identify the key macroeconomic variables in the risk-return relationship

Question 52

Which of the following variables do Fama and French claim do a better job explaining stock returns than beta?
I) Book-to-market ratio
II) Unexpected change in industrial production
III) Firm size

A) I only
B) I and II only
C) I and III only
D) I, II, and III

Question 53

According to the CAPM, the risk premium an investor expects to receive on any stock or portfolio is ________.

A) directly related to the risk aversion of the particular investor
B) inversely related to the risk aversion of the particular investor
C) directly related to the beta of the stock
D) inversely related to the alpha of the stock

Question 54

According to capital asset pricing theory, the key determinant of portfolio returns is ________.

A) the degree of diversification
B) the systematic risk of the portfolio
C) the firm-specific risk of the portfolio
D) economic factors

Question 55

Consider the one-factor APT. The standard deviation of return on a well-diversified portfolio is 20%. The standard deviation on the factor portfolio is 12%. The beta of the well-diversified portfolio is approximately ________.

A) )60
B) 1
C) 1.67
D) 3.20

Question 56

In a study conducted by Jagannathan and Wang, it was found that the performance of beta in explaining security returns could be considerably enhanced by:
I) Including the unsystematic risk of a stock
II) Including human capital in the market portfolio
III) Allowing for changes in beta over time

A) I and II only
B) II and III only
C) I and III only
D) I, II, and III

Question 57

Arbitrage is ________.

A) an example of the law of one price
B) the creation of riskless profits made possible by relative mispricing among securities
C) a common opportunity in modern markets
D) an example of a risky trading strategy based on market forecasting

Question 58

The expected return of the risky-asset portfolio with minimum variance is ________.

A) the market rate of return
B) zero
C) the risk-free rate
D) The answer cannot be determined from the information given.

Question 59

The measure of unsystematic risk can be found from an index model as ________.

A) residual standard deviation
B) R-square
C) degrees of freedom
D) sum of squares of the regression

Question 60

According to the CAPM, investors are compensated for all but which of the following?

A) expected inflation
B) systematic risk
C) time value of money
D) residual risk

Question 61

You run a regression of a stock's returns versus a market index and find the following:

Based on the data, you know that the stock ________.

A) earned a positive alpha that is statistically significantly different from zero
B) has a beta precisely equal to .890
C) has a beta that is likely to be anything between .6541 and 1.465 inclusive
D) has no systematic risk

Question 62

What is the expected return on the market?

A) 0%
B) 5%
C) 10%
D) 15%

Question 63

There are two independent economic factors, M1 and M2. The risk-free rate is 5%, and all stocks have independent firm-specific components with a standard deviation of 25%. Portfolios A and B are well diversified. Given the data below, which equation provides the correct pricing model?

A) E(rP) = 5 + 1.12βP1 + 11.86βP2
B) E(rP) = 5 + 4.96βP1 + 13.26βP2
C) E(rP) = 5 + 3.23βP1 + 8.46βP2
D) E(rP) = 5 + 8.71βP1 + 9.68βP2

Question 64

The expected return on the market is the risk-free rate plus the ________.

A) diversified returns
B) equilibrium risk premium
C) historical market return
D) unsystematic return

Question 65

Assume that both X and Y are well-diversified portfolios and the risk-free rate is 8%. Portfolio X has an expected return of 14% and a beta of 1. Portfolio Y has an expected return of 9.5% and a beta of .25. In this situation, you would conclude that portfolios X and Y ________.

A) are in equilibrium
B) offer an arbitrage opportunity
C) are both underpriced
D) are both fairly priced

Question 66

Research has identified two systematic factors that affect U.S. stock returns. The factors are growth in industrial production and changes in long-term interest rates. Industrial production growth is expected to be 3%, and long-term interest rates are expected to increase by 1%. You are analyzing a stock that has a beta of 1.2 on the industrial production factor and .5 on the interest rate factor. It currently has an expected return of 12%. However, if industrial production actually grows 5% and interest rates drop 2%, what is your best guess of the stock's return?

A) 15.9%
B) 12.9%
C) 13.2%
D) 12%

Question 67

According to the CAPM, what is the market risk premium given an expected return on a security of 13.6%, a stock beta of 1.2, and a risk-free interest rate of 4%?

A) 4%
B) 4.8%
C) 6.6%
D) 8%

Question 68

What is the expected return for a portfolio with a beta of .5?

A) 5%
B) 7.5%
C) 12.5%
D) 15%

Question 69

The expected return on the market portfolio is 15%. The risk-free rate is 8%. The expected return on SDA Corp. common stock is 16%. The beta of SDA Corp. common stock is 1.25. Within the context of the capital asset pricing model, ________.

A) SDA Corp. stock is underpriced
B) SDA Corp. stock is fairly priced
C) SDA Corp. stock's alpha is -.75%
D) SDA Corp. stock alpha is .75%

Question 70

You consider buying a share of stock at a price of $25. The stock is expected to pay a dividend of $1.50 next year, and your advisory service tells you that you can expect to sell the stock in 1 year for $28. The stock's beta is 1.1, rf is 6%, and E[rm] = 16%. What is the stock's abnormal return?

A) 1%
B) 2%
C) -1%
D) -2%

Question 71

Two investment advisers are comparing performance. Adviser A averaged a 20% return with a portfolio beta of 1.5, and adviser B averaged a 15% return with a portfolio beta of 1.2. If the T-bill rate was 5% and the market return during the period was 13%, which adviser was the better stock picker?

A) Advisor A was better because he generated a larger alpha.
B) Advisor B was better because she generated a larger alpha.
C) Advisor A was better because he generated a higher return.
D) Advisor B was better because she achieved a good return with a lower beta.

Question 72

A stock has a beta of 1.3. The systematic risk of this stock is ________ the stock market as a whole.

A) higher than
B) lower than
C) equal to
D) indeterminable compared to

Question 73

What is the alpha of a portfolio with a beta of 2 and actual return of 15%?

A) 0%
B) 13%
C) 15%
D) 17%

Question 74

The risk premium for exposure to aluminum commodity prices is 4%, and the firm has a beta relative to aluminum commodity prices of .6. The risk premium for exposure to GDP changes is 6%, and the firm has a beta relative to GDP of 1.2. If the risk-free rate is 4%, what is the expected return on this stock?

A) 10%
B) 11.5%
C) 13.6%
D) 14%

Question 75

If the simple CAPM is valid and all portfolios are priced correctly, which of the situations below is possible? Consider each situation independently, and assume the risk-free rate is 5%.
A)

A) Option A
B)
B) Option B
C)

Question 76

What is the expected return on a stock with a beta of .8, given a risk-free rate of 3.5% and an expected market return of 15.5%?

A) 3.8%
B) 13.1%
C) 15.6%
D) 19.1%

Question 77

What is the beta for a portfolio with an expected return of 12.5%?

A) 0
B) 1
C) 1.5
D) 2

Question 78

Using the index model, the alpha of a stock is 3%, the beta is 1.1, and the market return is 10%. What is the residual given an actual return of 15%?

A) )0%
B) 1%
C) 2%
D) 3%

Question 79

If the beta of the market index is 1 and the standard deviation of the market index increases from 12% to 18%, what is the new beta of the market index?

A) )8
B) 1
C) 1.2
D) 1.5

Question 80

According to the CAPM, what is the expected market return given an expected return on a security of 15.8%, a stock beta of 1.2, and a risk-free interest rate of 5%?

A) 5%
B) 9%
C) 13%
D) 14%