PORTFOLIO RISK AND RETURN: PART II Flashcards

(124 cards)

1
Q

When combining a risk-free asset with a risky portfolio, the expected return of the combined portfolio is:
A. Always equal to the risk-free rate regardless of weights
B. A weighted average of the risk-free rate and the risky portfolio’s expected return
C. Always higher than the risky portfolio’s expected return

A

Correct Answer: B
Explanation:

The expected return formula E(Rp) = WA E(RA) + WB E(RB) shows that when combining assets, the portfolio return is the weighted average of the component returns, including when one asset is risk-free.
Choice A is incorrect because the portfolio return varies with the weights allocated to each asset.
Choice C is incorrect because if more weight is allocated to the risk-free asset (which typically has lower returns), the portfolio return will be lower than the risky portfolio alone.

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2
Q

The standard deviation of a portfolio combining a risk-free asset (Asset B) with a risky asset (Asset A) is calculated as:
A. σP = √(WA²σA² + WB²σB²)
B. σP = WA σA
C. σP = WA σA + WB σB

A

Correct Answer: B
Explanation:

Since the risk-free asset has zero standard deviation (σB = 0) and zero correlation with the risky asset, the portfolio standard deviation simplifies to σP = WA σA.
Choice A represents the general two-asset formula but doesn’t account for the risk-free asset having zero standard deviation.
Choice C incorrectly adds standard deviations linearly rather than using the proper portfolio risk formula.

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3
Q

In the capital allocation line (CAL) framework, the line connecting the risk-free asset to a risky portfolio represents:
A. All possible combinations of the two assets with varying weights
B. Only efficient portfolios that minimize risk for a given return
C. The maximum return available for any level of risk

A

Correct Answer: A
Explanation:

The CAL shows all possible risk-return combinations when mixing a risk-free asset with a risky portfolio by varying the weights between them.
Choice B describes the efficient frontier concept, not specifically the CAL.
Choice C is incorrect as the CAL represents one specific set of combinations, not necessarily the maximum return for each risk level.

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4
Q

According to the reading, when Asset B is risk-free and Asset A is risky, the correlation coefficient ρAB equals:
A. +1.0
B. 0
C. -1.0

A

Correct Answer: B
Explanation:

A risk-free asset has zero correlation with any risky asset because its returns are constant and don’t vary with market conditions.
Choice A would indicate perfect positive correlation, which is impossible between a risk-free and risky asset.
Choice C would indicate perfect negative correlation, which would require the risk-free asset’s returns to move opposite to the risky asset, but risk-free returns are constant.

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5
Q

If an investor allocates 70% to a risky portfolio and 30% to a risk-free asset, the portfolio’s risk level will be:
A. 70% of the risky portfolio’s standard deviation
B. 30% of the risky portfolio’s standard deviation
C. The weighted average of both assets’ standard deviations

A

Correct Answer: A
Explanation:

With the formula σP = WA σA, where WA = 0.70, the portfolio risk is 70% of the risky asset’s standard deviation.
Choice B incorrectly uses the weight of the risk-free asset.
Choice C is incorrect because the risk-free asset contributes zero to portfolio risk, so there’s no meaningful weighted average.

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6
Q

The primary advantage of combining a risk-free asset with a risky portfolio is:
A. Elimination of all investment risk
B. Ability to achieve any desired risk level along the capital allocation line
C. Guaranteed positive returns under all market conditions

A

Correct Answer: B
Explanation:

By varying the weights between risk-free and risky assets, investors can achieve any risk level from zero (100% risk-free) to the full risk of the risky portfolio (100% risky asset).
Choice A is incorrect because risk is only eliminated if 100% is allocated to the risk-free asset.
Choice C is wrong because if weight is allocated to the risky asset, returns are not guaranteed to be positive.

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7
Q

In the context of modern portfolio theory, a risk-free asset is characterized by:
A. Low but positive correlation with market returns
B. Zero standard deviation and zero correlation with risky assets
C. Negative correlation with all risky assets

A

Correct Answer: B
Explanation:

A risk-free asset, by definition, has no variability in returns (zero standard deviation) and no systematic relationship with risky assets (zero correlation).
Choice A describes a low-risk asset, not a risk-free asset.
Choice C would describe an asset that moves opposite to risky assets, which is not characteristic of typical risk-free assets like government bonds.

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8
Q

When constructing a portfolio with both risk-free and risky assets, an investor who wants to achieve a return higher than the risky portfolio alone must:
A. Allocate more than 100% to the risky asset through borrowing
B. Find assets with negative correlation to the risky portfolio
C. Diversify across multiple risky assets

A

Correct Answer: A
Explanation:

To achieve returns higher than the risky portfolio alone, an investor must leverage by borrowing at the risk-free rate and investing more than 100% in the risky asset.
Choice B describes a different diversification strategy that doesn’t necessarily lead to higher expected returns.
Choice C involves diversification among risky assets but doesn’t address achieving returns higher than a single risky portfolio.

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9
Q

The slope of the capital allocation line (CAL) connecting a risk-free asset to a risky portfolio represents:
A. The correlation coefficient between the two assets
B. The risk premium per unit of risk (Sharpe ratio)
C. The total return of the risky portfolio

A

Correct Answer: B
Explanation:

The slope of the CAL is calculated as [E(RA) - Rf]/σA, which is the excess return per unit of risk, also known as the Sharpe ratio.
Choice A is incorrect because the correlation between a risk-free asset and risky asset is always zero.
Choice C is wrong because the slope measures the risk-return trade-off, not the absolute return level.

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10
Q

The capital allocation line (CAL) represents:
A. The line of possible portfolio risk and return combinations given the risk-free rate and the risk and return of a portfolio of risky assets
B. The optimal risky portfolio for all investors assuming homogeneous expectations
C. The relationship between systematic risk and expected return for individual securities

A

Correct Answer: A
Explanation:

The CAL represents all possible combinations of risk and return that an investor can achieve by combining a risk-free asset with a risky portfolio
Option B describes the Capital Market Line (CML), which is a specific CAL that applies when all investors have homogeneous expectations
Option C describes the Security Market Line (SML), not the CAL

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11
Q

The slope of the capital allocation line represents:
A. The correlation coefficient between the risk-free asset and risky portfolio
B. The reward-to-risk ratio of the risky portfolio
C. The beta of the risky portfolio

A

Correct Answer: B
Explanation:

The slope of the CAL equals (E(Rp) - Rf)/σp, which is the reward-to-risk ratio or Sharpe ratio of the risky portfolio
Option A is incorrect because the risk-free asset has zero correlation with risky assets by definition
Option C is incorrect as beta measures systematic risk relative to the market, not the slope of the CAL

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12
Q

Which statement best describes the optimal risky portfolio for an individual investor?
A. It is always the market portfolio regardless of investor preferences
B. It is the risky portfolio that results in the most preferred set of possible portfolios in terms of risk and return
C. It is the portfolio with the highest expected return

A

Correct Answer: B
Explanation:

The optimal risky portfolio is the one that offers the greatest expected utility to the investor, creating the most preferred set of possible portfolios when combined with the risk-free asset
Option A is incorrect because individual investors may have different optimal risky portfolios based on their expectations and preferences
Option C is incorrect because the highest return portfolio may not be optimal due to excessive risk

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13
Q

The capital market line (CML) is defined as:
A. Any capital allocation line for an individual investor
B. The capital allocation line using the market portfolio as the optimal risky portfolio
C. The line connecting all efficient portfolios of risky assets

A

Correct Answer: B
Explanation:

The CML is the specific CAL that uses the market portfolio as the optimal risky portfolio, applicable when all investors have homogeneous expectations
Option A is incorrect because individual CALs may use different risky portfolios
Option C describes the efficient frontier, not the CML

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13
Q

The y-intercept of the capital market line equals:
A. The expected return of the market portfolio
B. The risk-free rate
C. The market risk premium

A

Correct Answer: B
Explanation:

The y-intercept of the CML occurs when portfolio risk (σp) equals zero, which corresponds to investing entirely in the risk-free asset, yielding the risk-free rate
Option A is incorrect as the market portfolio return is a point on the CML, not the y-intercept
Option C is incorrect as the market risk premium is the difference between market return and risk-free rate

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13
Q

Under the assumption of homogeneous expectations, all investors will:
A. Choose the same portfolio weights for the risk-free asset and risky portfolio
B. Face the same efficient frontier of risky portfolios and have the same optimal risky portfolio
C. Have the same risk tolerance and indifference curves

A

Correct Answer: B
Explanation:

Homogeneous expectations means all investors have identical estimates of expected returns, standard deviations, and correlations, leading to the same efficient frontier and optimal risky portfolio
Option A is incorrect because investors will choose different weights based on their individual risk preferences
Option C is incorrect because risk tolerance and indifference curves reflect individual preferences, not expectations

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14
Q

The equation of the capital market line is:
A. E(Rp) = Rf + [E(RM) - Rf] × βp
B. E(Rp) = Rf + [(E(RM) - Rf)/σM] × σp
C. E(Rp) = Rf + [E(RM) - Rf] × σp

A

Correct Answer: B
Explanation:

The CML equation shows expected portfolio return as a function of portfolio risk (standard deviation), with the slope being the market risk premium divided by market risk
Option A is the Security Market Line (SML) equation using beta
Option C is missing the denominator σM in the slope term

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15
Q

The market risk premium in the context of the capital market line represents:
A. The additional return per unit of total risk
B. The additional return per unit of systematic risk
C. The correlation between market returns and individual security returns

A

Correct Answer: A
Explanation:

In the CML context, the market risk premium [E(RM) - Rf] represents the additional return investors receive for bearing one unit of total risk (standard deviation)
Option B describes the market risk premium in the context of the SML, which deals with systematic risk (beta)
Option C describes correlation, not risk premium

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16
Q

An investor who chooses to take on no risk (σp = 0) will earn:
A. The expected return of the market portfolio
B. The risk-free rate
C. Zero return

A

Correct Answer: B
Explanation:

When portfolio risk equals zero, the investor is investing entirely in the risk-free asset and will earn the risk-free rate
Option A is incorrect because the market portfolio has positive risk
Option C is incorrect because the risk-free asset still provides a positive return

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17
Q

If investors can both lend and borrow at the risk-free rate, they can:
A. Only select portfolios on the efficient frontier
B. Select portfolios to the right of the market portfolio by borrowing
C. Eliminate all portfolio risk

A

Correct Answer: B
Explanation:

Borrowing at the risk-free rate allows investors to leverage their investment in the market portfolio, creating portfolios with higher risk and return than the market portfolio alone
Option A is incorrect because investors can move beyond the efficient frontier through borrowing and lending
Option C is incorrect because risk can only be eliminated by investing entirely in the risk-free asset

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18
Q

According to the capital market line, an investor can expect to receive one unit of market risk premium for every:
A. Unit of systematic risk accepted
B. Unit of total risk accepted
C. Percentage point of expected return

A

Correct Answer: B
Explanation:

The CML shows that investors receive market risk premium in proportion to total risk (standard deviation) accepted: [E(RM) - Rf]/σM per unit of σp
Option A describes the SML relationship with systematic risk (beta)
Option C incorrectly describes the relationship in reverse

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19
Q

Active portfolio management differs from passive investment strategy by:
A. Using market index weights for the optimal risky asset portfolio
B. Investing more than market weights in securities believed to be undervalued
C. Always achieving higher returns than passive strategies

A

Correct Answer: B
Explanation:

Active management involves deviating from market weights by overweighting securities believed to be undervalued and underweighting those believed to be overvalued
Option A describes passive management
Option C is incorrect as active management doesn’t guarantee higher returns

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19
Q

In Figure 84.4, a portfolio with WM = 125% indicates:
A. The investor has lent 25% of their wealth at the risk-free rate
B. The investor has borrowed 25% of their wealth at the risk-free rate
C. The investor holds 125% of the market portfolio and 25% risk-free assets

A

Correct Answer: B
Explanation:

WM = 125% means the investor has borrowed 25% of their wealth to invest 125% in the market portfolio, with the remaining -25% representing the borrowing (negative position in risk-free asset)
Option A is incorrect as lending would result in WM < 100%
Option C is incorrect as the weights must sum to 100%

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20
Q

Passive investment strategy involves:
A. Actively selecting undervalued securities based on fundamental analysis
B. Investing in an index that serves as a proxy for the market portfolio
C. Frequently trading to exploit market inefficiencies

A

Correct Answer: B
Explanation:

Passive investment strategy involves investing in a market index that serves as a proxy for the market portfolio, based on the belief that markets are informationally efficient
Option A describes active portfolio management
Option C also describes active management techniques

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21
Q

The efficient frontier in Figure 84.3 Determining the Optimal Risky Portfolio and Optimal CAL
Assuming Homogeneous Expectations represents:
A. All possible combinations of risk and return for individual securities
B. The set of portfolios that offer the highest expected return for each level of risk
C. The capital allocation line for a specific investor

A

Correct Answer: B
Explanation:

The efficient frontier shows the set of optimal risky portfolios that maximize expected return for each level of risk
Option A is incorrect as individual securities are not necessarily efficient
Option C describes the CAL, which is a straight line from the risk-free rate

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22
The tangency point between the capital market line and the efficient frontier represents: A. The risk-free asset B. The optimal risky portfolio (market portfolio) C. The minimum variance portfolio
Correct Answer: B Explanation: The tangency point represents the optimal risky portfolio (market portfolio under homogeneous expectations) that maximizes the Sharpe ratio Option A is incorrect as the risk-free asset is at the y-intercept Option C is incorrect as the minimum variance portfolio is typically not the tangency portfolio
23
In the context of the capital market line, σM represents: A. The correlation between the market portfolio and individual securities B. The standard deviation of the market portfolio C. The beta of the market portfolio
Correct Answer: B Explanation: σM represents the standard deviation (total risk) of the market portfolio in the CML equation Option A describes correlation, which is typically denoted differently Option C is incorrect as the market portfolio's beta is always 1.0 by definition
23
The indifference curve in Figure 84.2: Risky Portfolios and Their Associated Capital Allocation Lines represents: A. The investor's risk and return preferences B. The efficient frontier of risky assets C. The capital market line
Correct Answer: A Explanation: Indifference curves represent an investor's utility function, showing combinations of risk and return that provide equal satisfaction Option B describes the efficient frontier, which is the curved line Option C describes the CML, which is the straight line
24
The assumption of homogeneous expectations means that all investors have: A. The same risk tolerance levels B. The same estimates of expected returns, standard deviations, and correlations C. The same optimal complete portfolios
Correct Answer: B Explanation: Homogeneous expectations means all investors share identical beliefs about security expected returns, risks, and correlations Option A is incorrect as risk tolerance reflects individual preferences, not expectations Option C is incorrect because even with homogeneous expectations, investors may choose different portfolio weights based on their risk preferences
24
An investor's optimal portfolio occurs where: A. The capital allocation line intersects the efficient frontier B. The indifference curve is tangent to the capital allocation line C. The efficient frontier reaches its maximum return
Correct Answer: B Explanation: The optimal portfolio for an investor occurs where their highest indifference curve is tangent to their capital allocation line, maximizing their utility Option A describes the optimal risky portfolio, not the investor's complete optimal portfolio Option C describes the maximum return portfolio, which may not be optimal due to excessive risk
25
The capital allocation line assumes that investors can: A. Only invest in risky assets B. Combine a risk-free asset with a risky portfolio C. Eliminate all investment risk
Correct Answer: B Explanation: The CAL is constructed by combining a risk-free asset with a risky portfolio, showing all possible risk-return combinations Option A is incorrect as the CAL specifically includes the risk-free asset Option C is incorrect as risk can only be eliminated by investing entirely in the risk-free asset
26
The primary difference between individual capital allocation lines and the capital market line is: A. The risk-free rate used in the calculations B. The risky portfolio used in the combination C. The mathematical formula for the line
Explanation: Individual CALs can use any risky portfolio, while the CML specifically uses the market portfolio as the optimal risky portfolio under homogeneous expectations Option A is incorrect as the risk-free rate is typically the same for all investors Option C is incorrect as both use the same mathematical relationship between risk and return
27
Which of the following best describes unsystematic risk in a portfolio? A. Risk that affects the entire market and cannot be diversified away B. Risk specific to individual securities that can be reduced through diversification C. Risk that remains constant regardless of the number of securities held
Correct Answer: B Explanation: Unsystematic risk, also known as unique or firm-specific risk, is the risk associated with individual securities and can be reduced or eliminated through diversification across assets that are not perfectly correlated. This aligns with the concept described in the section. A is incorrect because it describes systematic risk, not unsystematic risk. C is incorrect as it refers to systematic risk, which remains constant and cannot be diversified away.
27
When an investor diversifies a portfolio, what happens to the unsystematic risk? A. It increases as more securities are added B. It decreases and can be largely eliminated with sufficient diversification C. It remains constant regardless of the number of securities
Correct Answer: B Explanation: Unsystematic risk decreases as more securities are added to a portfolio, and it can be largely eliminated with sufficient diversification (e.g., around 30 securities), as shown in Figure 84.5. A is incorrect because adding securities reduces, rather than increases, unsystematic risk. C is incorrect because unsystematic risk is diversifiable and does not remain constant.
28
What is the mathematical relationship between total risk, systematic risk, and unsystematic risk? A. Total risk = Systematic risk - Unsystematic risk B. Total risk = Systematic risk + Unsystematic risk C. Total risk = Systematic risk × Unsystematic risk
Correct Answer: B Explanation: The section explains that total risk can be broken down into its component parts: total risk = systematic risk + unsystematic risk, providing a clear additive relationship. A is incorrect because it suggests subtraction, which does not align with the concept. C is incorrect because it implies multiplication, which is not the intended relationship.
28
Which component of total risk cannot be eliminated through diversification? A. Unsystematic risk B. Systematic risk C. Firm-specific risk
Correct Answer: B Explanation: Systematic risk, also called market risk or nondiversifiable risk, affects the entire market and cannot be eliminated through diversification, as noted in the section. A and C are incorrect because both unsystematic risk and firm-specific risk can be reduced through diversification.
29
Which of the following best explains why Ferrari automobiles and Harley-Davidson motorcycles have high systematic risk? A. Their returns are highly correlated with overall market returns B. Their returns are unaffected by market changes C. They have low exposure to firm-specific factors
Correct Answer: A Explanation: The section notes that securities like Ferrari and Harley-Davidson have high systematic risk because their returns are highly correlated with overall market returns, making them sensitive to market changes. B is incorrect as it contradicts the idea of high systematic risk. C is incorrect because high systematic risk implies less influence from firm-specific factors, not low exposure.
29
According to academic studies cited in the section, approximately how many securities are needed to achieve about 90% of the maximum diversification benefit? A. 5 to 10 securities B. 12 to 18 securities C. 30 to 40 securities
Correct Answer: B Explanation: The section states that academic studies indicate it takes about 12 to 18 stocks in a portfolio to achieve approximately 90% of the maximum diversification benefit. A is incorrect as it underestimates the number needed for significant diversification. C is incorrect as 30 securities are cited as achieving near-complete diversification, exceeding the 90% mark.
30
What happens to a portfolio’s total risk as the number of securities approaches 30? A. It increases significantly B. It approaches the level of market risk C. It becomes entirely unsystematic
Correct Answer: B Explanation: As the number of securities approaches 30, the total risk approaches the level of market risk (systematic risk), as unsystematic risk is largely diversified away, per Figure 84.5. A is incorrect because total risk decreases with diversification. C is incorrect because the remaining risk is systematic, not unsystematic.
31
An investor holds a well-diversified portfolio. What is the primary source of risk remaining in this portfolio? A. Firm-specific risk B. Market risk C. Unique risk
Correct Answer: B Explanation: In a well-diversified portfolio, unsystematic risk (firm-specific or unique risk) is largely eliminated, leaving market risk (systematic risk) as the primary source, as described in the section. A and C are incorrect because they refer to unsystematic risk, which is diversified away.
32
Which of the following firms is likely to have very little systematic risk? A. A utility company B. A luxury goods manufacturer C. A technology startup
Correct Answer: A Explanation: The section indicates that firms like utility companies respond more to firm-specific factors and have very little systematic risk, unlike luxury goods manufacturers or startups. B and C are incorrect because these firms are more exposed to market-wide changes, increasing systematic risk.
33
How does diversification across imperfectly correlated assets affect portfolio risk? A. It increases the weighted average risk of individual securities B. It reduces the portfolio’s risk below the weighted average of individual risks C. It has no effect on the portfolio’s risk
Correct Answer: B Explanation: The section states that diversification across imperfectly correlated assets reduces the portfolio’s risk below the weighted average of the risks of individual securities due to the elimination of unsystematic risk. A is incorrect because diversification lowers, not increases, risk. C is incorrect because diversification does affect and reduce risk.
34
Which of the following best describes the concept of systematic risk? A. Risk that can be eliminated by holding a single security B. Risk that applies to individual securities and portfolios due to market-wide factors C. Risk that is unique to a specific industry
Correct Answer: B Explanation: Systematic risk applies to individual securities and portfolios due to market-wide factors (e.g., economic changes), as outlined in the section. A is incorrect because systematic risk cannot be eliminated by holding a single security. C is incorrect because it describes unsystematic, not systematic, risk.
35
How does the standard deviation of a portfolio change as diversification increases? A. It increases due to higher correlation among securities B. It decreases until it reaches the level of systematic risk C. It remains unchanged regardless of diversification
Correct Answer: B Explanation: The standard deviation of a portfolio decreases with increased diversification until it reaches the level of systematic risk, as depicted in Figure 84.5. A is incorrect because higher diversification reduces, rather than increases, standard deviation. C is incorrect because diversification does impact standard deviation.
36
Which measure will be discussed later to quantify systematic risk, as mentioned in the section? A. Beta B. Alpha C. Standard deviation
Correct Answer: A Explanation: The section mentions that beta, a measure of systematic risk, will be developed later in the curriculum. B is incorrect because alpha measures excess return, not risk. C is incorrect because standard deviation measures total risk, not specifically systematic risk.
37
According to capital market theory, what type of risk determines the equilibrium security returns? A. Total risk as measured by standard deviation B. Unsystematic risk C. Systematic risk
Correct Answer: C Explanation: Capital market theory concludes that equilibrium security returns depend on a stock’s or portfolio’s systematic risk, not total risk, as it is the only risk that cannot be diversified away and thus requires compensation. A is incorrect because total risk includes unsystematic risk, which is not compensated. B is incorrect because unsystematic risk can be eliminated through diversification and does not influence equilibrium returns.
38
Why does capital market theory suggest that investors are not compensated for bearing unsystematic risk? A. Unsystematic risk is too difficult to measure B. Unsystematic risk can be eliminated through diversification at no cost C. Unsystematic risk has a higher impact on total returns
Correct Answer: B Explanation: The theory assumes diversification is free (e.g., through low-cost index funds), and since unsystematic risk can be eliminated at no cost, investors are not compensated for bearing it. A is incorrect because the difficulty of measurement is not the reason; it’s the ability to diversify that matters. C is incorrect because unsystematic risk does not significantly impact equilibrium returns when diversified.
39
Which stock is likely to have a lower equilibrium rate of return according to capital market theory, assuming equal total risk? A. A biotech stock with high unsystematic risk B. A machine tool manufacturer with high systematic risk C. A diversified portfolio with balanced risk
Correct Answer: A Explanation: A biotech stock with high unsystematic risk has a lower equilibrium return because its systematic risk (market sensitivity) is low, and only systematic risk is compensated, as per the section. B is incorrect because a stock with high systematic risk would have a higher equilibrium return. C is incorrect as it lacks context about specific risk composition.
40
How does holding a portfolio of 50 to 100 biotech stocks affect the unsystematic risk? A. It increases the unsystematic risk significantly B. It diversifies away the unsystematic risk C. It has no effect on unsystematic risk
Correct Answer: B Explanation: Holding many biotech stocks diversifies away firm-specific (unsystematic) risk, as some stocks may succeed while others fail, reducing portfolio uncertainty, as noted in the section. A is incorrect because diversification reduces, not increases, unsystematic risk. C is incorrect because diversification does impact and reduce unsystematic risk.
41
What is a key assumption of capital market theory regarding diversification? A. Diversification is costly and requires significant investment B. Diversification is free or very low cost C. Diversification increases total portfolio risk
Correct Answer: B Explanation: The section assumes diversification is free or very low cost (e.g., via no-load index funds), supporting the idea that unsystematic risk can be eliminated without expense. A is incorrect because the theory assumes low or no cost, not significant investment. C is incorrect because diversification reduces total risk by eliminating unsystematic risk.
42
Which of the following best describes the systematic risk of a biotech stock with one drug in clinical trials? A. It is a large proportion of total risk due to market factors B. It is a small proportion of total risk due to firm-specific factors C. It is unaffected by the stock’s total risk level
Correct Answer: B Explanation: The section explains that the biotech stock’s high total risk is primarily from firm-specific (unsystematic) factors, making systematic risk a small proportion of total risk. A is incorrect because market factors have little impact on this stock. C is incorrect because systematic risk is influenced by the stock’s contribution to market risk.
43
What is the primary implication of capital market theory for asset pricing? A. Expected returns are based solely on a stock’s total risk B. Expected returns depend only on a stock’s systematic risk C. Expected returns are unaffected by diversification
Correct Answer: B Explanation: Capital market theory implies that expected (equilibrium) returns depend only on systematic risk, as unsystematic risk can be diversified away, affecting asset pricing models. A is incorrect because total risk includes uncompensated unsystematic risk. C is incorrect because diversification impacts risk and thus expected returns indirectly.
44
Why might a machine tool manufacturer have a higher equilibrium return than a biotech stock with higher total risk? A. The manufacturer has lower sensitivity to market factors B. The manufacturer has greater sensitivity to systematic risk factors C. The manufacturer has higher unsystematic risk
Correct Answer: B Explanation: The section notes that a machine tool manufacturer may have greater sensitivity to systematic risk factors (e.g., GDP growth), leading to a higher equilibrium return despite lower total risk. A is incorrect because higher market sensitivity increases, not lowers, returns. C is incorrect because higher unsystematic risk lowers the equilibrium return.
45
How is systematic risk measured according to capital market theory? A. By the standard deviation of a security’s total returns B. By the contribution of a security to the risk of a well-diversified portfolio C. By the variance of a security’s unsystematic risk
Correct Answer: B Explanation: Systematic risk is measured by a security’s contribution to the risk of a well-diversified portfolio, as it reflects the market-related risk that cannot be diversified away. A is incorrect because standard deviation measures total risk, not just systematic risk. C is incorrect because variance of unsystematic risk is diversifiable and not the focus.
46
What happens to the expected equilibrium return of a security with high unsystematic risk in a well-diversified portfolio? A. It increases due to higher total risk B. It depends only on the security’s systematic risk C. It remains unaffected by diversification
Correct Answer: B Explanation: In a well-diversified portfolio, the expected equilibrium return depends only on the security’s systematic risk, as unsystematic risk is eliminated, per capital market theory. A is incorrect because total risk, including unsystematic risk, does not determine equilibrium returns. C is incorrect because diversification affects the risk profile and thus the return.
47
Which of the following best describes the purpose of return generating models in the context of estimating expected returns on risky securities? A. To calculate the exact return of a security based on historical data B. To estimate the expected returns on risky securities based on specific factors C. To guarantee a minimum return for all investments
Correct Answer: B Explanation: The correct answer is B because return generating models, such as the multifactor and market models, are used to estimate expected returns on risky securities by considering factors like economic conditions or market performance, as outlined in the LOS. A is incorrect because these models provide estimates, not exact calculations, and rely on assumptions rather than guaranteed historical outcomes. C is incorrect as these models do not guarantee returns; they assess risk and potential returns without ensuring a minimum.
47
Which statement best explains the concept of beta in the context of the market model? A. Beta measures the total return of a security B. Beta is a measure of a security’s sensitivity to the overall market portfolio C. Beta indicates the risk-free rate of return
Correct Answer: B Explanation: The correct answer is B because beta in the market model measures how sensitive a security’s return is to the overall market portfolio, as defined in the LOS. A is incorrect because beta does not measure total return; it measures sensitivity. C is incorrect as the risk-free rate is a separate baseline, not related to beta.
47
Which factor is most commonly used in multifactor models to explain security returns, according to the CFA curriculum? A. Company management quality B. Macroeconomic factors such as GDP growth C. Individual investor sentiment
Correct Answer: B Explanation: The correct answer is B because multifactor models often include macroeconomic factors like GDP growth, inflation, or industry growth to explain security returns, as noted in the LOS. A is incorrect as company management quality is not a standard factor in these models. C is incorrect because individual sentiment is not a formalized factor in multifactor models.
47
What is the primary role of the first factor in the multifactor model, as described in the return generating models section? A. To represent the expected excess return above the risk-free rate B. To offset the impact of all other factors C. To serve as a baseline for the overall market return
Correct Answer: A Explanation: The correct answer is A because the first factor in the multifactor model often represents the expected excess return on the market, as stated in the LOS. B is incorrect as the first factor does not offset other factors; it contributes to the total return. C is incorrect because the baseline is typically the risk-free rate, not the first factor itself.
48
In the market model, what is the significance of the excess return on a security? A. It represents the security’s return above the risk-free rate B. It indicates the total return including all factors C. It is the return adjusted for inflation only
Correct Answer: A Explanation: The correct answer is A because excess return in the market model is the return above the risk-free rate, as per the LOS. B is incorrect because it includes all factors beyond the scope of the market model. C is incorrect as excess return is not specifically adjusted for inflation.
49
Which of the following models is often associated with the work of Fama and French? A. Single-index model B. Multifactor model C. Capital asset pricing model (CAPM)
Correct Answer: B Explanation: The correct answer is B because the multifactor model is notably associated with Fama and French, who estimated it using factors like market risk and size, as mentioned in the LOS. A is incorrect as the single-index model is a simpler version, not specifically tied to Fama and French. C is incorrect because CAPM is a different framework, though related.
50
What does the market model assume about the relationship between a security’s return and the market portfolio? A. The security’s return is independent of the market portfolio B. The security’s return is linearly related to the market portfolio C. The security’s return is inversely related to the market portfolio
Correct Answer: B Explanation: The correct answer is B because the market model assumes a linear relationship between a security’s excess return and the market portfolio’s excess return, as described in the LOS. A is incorrect as the model relies on this relationship. C is incorrect as the relationship is positive, not inverse.
51
Which component of the market model represents the abnormal return on an asset? A. The intercept B. The slope coefficient C. The risk-free rate
Correct Answer: A Explanation: The correct answer is A because the intercept in the market model represents the abnormal return on an asset, as per the LOS. B is incorrect because the slope coefficient is beta, not the abnormal return. C is incorrect as the risk-free rate is a baseline, not an abnormal return.
51
Return generating models are primarily used to: A. Calculate the exact future returns of securities B. Estimate expected returns on risky securities based on specific factors C. Determine the historical performance of securities
Correct Answer: B Explanation: Return generating models are used to estimate expected returns on risky securities based on specific factors that explain security returns, helping investors understand the sensitivity of returns to various risk factors. Option A is incorrect because these models estimate expected returns, not exact future returns, as future returns are uncertain. Option C is incorrect because while historical data may be used in model estimation, the primary purpose is to estimate expected future returns, not analyze past performance.
52
Which of the following best describes macroeconomic factors in return generating models? A. Factors specific to individual companies such as management quality B. Factors that affect all securities in the market such as GDP growth and inflation C. Factors that only affect securities within the same industry
Correct Answer: B Explanation: Macroeconomic factors are broad economic variables that affect all securities in the market, such as GDP growth, inflation, and interest rates. Option A is incorrect because company-specific factors are microeconomic, not macroeconomic factors. Option C is incorrect because industry-specific factors are considered sector factors, not macroeconomic factors that affect the entire market.
53
In a multifactor model, the general form E(Ri) = Rf + β1 × E(Factor 1) + β2 × E(Factor 2) + ... + βk × E(Factor k), what does βi represent? A. The expected return of factor i B. The factor sensitivity or factor loading of Asset i to factor i C. The risk-free rate adjusted for factor i
Correct Answer: B Explanation: βi represents the factor sensitivity or factor loading, which measures how sensitive Asset i's returns are to changes in factor i. Option A is incorrect because E(Factor i) represents the expected value of the factor, not βi. Option C is incorrect because Rf is the risk-free rate, and βi is not a risk-free rate adjustment but rather a sensitivity measure.
54
The Fama and French three-factor model includes which of the following factors? A. Market return, firm size, and momentum B. Market return, firm size, and book value to market value ratio C. Market return, interest rates, and inflation
Correct Answer: B Explanation: The Fama and French three-factor model includes market return, firm size (small minus big), and book value to market value ratio (high minus low). Option A is incorrect because momentum is not one of the original three factors in the Fama-French model (though it was added later in their four-factor model). Option C is incorrect because interest rates and inflation are macroeconomic factors but not the specific factors in the Fama-French three-factor model.
55
In a single-factor model, if the factor sensitivity (beta) of a stock is 1.2 and the factor has an expected value of 8%, what is the stock's expected excess return attributable to this factor? A. 6.67% B. 8.0% C. 9.6%
Correct Answer: C Explanation: The expected excess return attributable to the factor is calculated as β × E(Factor) = 1.2 × 8% = 9.6%. Option A is incorrect because it appears to be 8%/1.2, which is not the correct calculation. Option B is incorrect because it only considers the factor's expected value without accounting for the stock's sensitivity to that factor.
56
Statistical factors in return generating models are typically identified through: A. Economic theory and fundamental analysis B. Data mining techniques on historical return data C. Survey research of market participants
Correct Answer: B Explanation: Statistical factors are identified through data mining techniques such as factor analysis or principal component analysis applied to historical return data. Option A is incorrect because economic theory and fundamental analysis are used to identify macroeconomic and fundamental factors, not statistical factors. Option C is incorrect because survey research is not a method used to identify statistical factors in return generating models.
57
What is the primary difference between a single-factor model and a multifactor model? A. Single-factor models only use the market return as the risk factor B. Single-factor models use one risk factor while multifactor models use multiple risk factors C. Single-factor models are more accurate than multifactor models
Correct Answer: B Explanation: The key difference is that single-factor models use only one risk factor to explain returns, while multifactor models use multiple risk factors. Option A is incorrect because single-factor models can use any single risk factor, not necessarily just market return. Option C is incorrect because multifactor models are generally considered more comprehensive and potentially more accurate as they account for multiple sources of risk
58
In the market model, which is a specific type of single-factor model, the factor used is: A. The inflation rate B. The excess return on the market portfolio C. The GDP growth rate
Correct Answer: B Explanation: The market model uses the excess return on the market portfolio as its single risk factor. Option A is incorrect because inflation rate is a macroeconomic factor but not the specific factor used in the market model. Option C is incorrect because GDP growth rate is also a macroeconomic factor but not the factor used in the market model.
59
Which of the following best describes the relationship between factor sensitivity and expected returns in a return generating model? A. Higher factor sensitivity always leads to higher expected returns B. Factor sensitivity determines how much an asset's return responds to changes in the factor C. Factor sensitivity is always positive for all assets
Correct Answer: B Explanation: Factor sensitivity (beta) measures how much an asset's return responds to changes in the factor - it's a measure of sensitivity or responsiveness. Option A is incorrect because higher sensitivity doesn't always mean higher expected returns; it depends on the expected value of the factor and whether the sensitivity is positive or negative. Option C is incorrect because factor sensitivity can be positive, negative, or zero depending on how the asset responds to the factor.
60
Which of the following best describes what beta measures in the context of portfolio theory? A. The total risk of an asset relative to a risk-free investment B. The systematic risk of an asset relative to the market portfolio C. The unsystematic risk that can be eliminated through diversification
Correct Answer: B Explanation: Beta measures systematic risk - the sensitivity of an asset's returns to market movements. It quantifies how much an asset's returns move relative to the overall market. Option A is incorrect because beta does not measure total risk; it only captures the systematic (market-related) portion of risk. Option C is incorrect because beta specifically measures systematic risk, not unsystematic risk, and unsystematic risk is what can be diversified away.
60
The market model is often used to estimate beta. Which of the following correctly represents the market model equation? A. Ri = αi + βi × Rm + εi B. Ri = βi + αi × Rm + εi C. Ri = Rm + βi × αi + εi
Correct Answer: A Explanation: The correct market model equation is Ri = αi + βi × Rm + εi, where Ri is the asset return, αi is the intercept (alpha), βi is beta, Rm is the market return, and εi is the error term. Option B incorrectly places beta as the intercept and alpha as the slope coefficient. Option C incorrectly positions the variables and would not properly capture the relationship between asset and market returns.
61
In the context of beta calculation, what does the covariance between an asset's returns and the market returns represent? A. The degree to which the asset and market move in the same direction B. The total variability of the asset's returns C. The risk-free rate of return
Correct Answer: A Explanation: Covariance measures how two variables move together - positive covariance indicates they tend to move in the same direction, while negative covariance indicates they move in opposite directions. Option B is incorrect because total variability is measured by variance, not covariance. Option C is incorrect because the risk-free rate is a separate concept unrelated to covariance.
62
The formula for calculating beta using the covariance method is: A. βi = Cov(Ri, Rm) × Var(Rm) B. βi = Var(Rm) / Cov(Ri, Rm) C. βi = Cov(Ri, Rm) / Var(Rm)
Correct Answer: C Explanation: Beta is calculated as the covariance between the asset and market returns divided by the variance of the market returns: βi = Cov(Ri, Rm) / Var(Rm). Option A is incorrect because it multiplies rather than divides, which would not give the correct sensitivity measure. Option B is incorrect because it inverts the correct formula, which would give the reciprocal of beta.
63
What does a beta of 1.0 indicate about an asset's relationship with the market? A. The asset has no correlation with the market B. The asset moves in the same direction and magnitude as the market C. The asset is twice as volatile as the market
Correct Answer: B Explanation: A beta of 1.0 means the asset has the same systematic risk as the market and tends to move in the same direction and magnitude as the market. Option A is incorrect because a beta of 1.0 indicates perfect correlation with market movements, not no correlation. Option C is incorrect because a beta of 2.0 (not 1.0) would indicate the asset is twice as volatile as the market.
64
An asset with a beta of 0.5 would be expected to: A. Move in the opposite direction of the market B. Be half as volatile as the market in response to market movements C. Have twice the market's volatility
Correct Answer: B Explanation: A beta of 0.5 indicates the asset is less volatile than the market, moving approximately half as much as the market in the same direction. Option A is incorrect because a positive beta (0.5) means the asset moves in the same direction as the market, not opposite. Option C is incorrect because a beta of 0.5 indicates lower volatility than the market, not higher.
64
In the regression analysis used to estimate beta, what does the slope of the regression line represent? A. The asset's alpha (intercept) B. The asset's beta coefficient C. The R-squared of the regression
Correct Answer: B Explanation: In the regression of asset returns against market returns, the slope coefficient directly represents beta - the sensitivity of the asset to market movements (the security characteristic line). Option A is incorrect because alpha is the intercept of the regression line, not the slope. Option C is incorrect because R-squared measures the goodness of fit of the regression, not the slope.
64
What does the intercept (alpha) in the market model regression represent? A. The asset's systematic risk B. The portion of the asset's return that is independent of market movements C. The correlation between the asset and the market
Correct Answer: B Explanation: Alpha represents the intercept of the regression line and indicates the portion of returns that is not explained by market movements - the asset's excess return above what would be predicted by its beta. Option A is incorrect because systematic risk is measured by beta, not alpha. Option C is incorrect because correlation is a separate statistical measure, not the intercept.
65
Which of the following statements about the security characteristic line is most accurate? A. It shows the relationship between an asset's returns and the risk-free rate B. It graphically represents the linear relationship between an asset's returns and market returns C. It measures the total risk of an asset
Correct Answer: B Explanation: The security characteristic line is the graphical representation of the regression between an asset's returns and the market returns, with beta as the slope. Option A is incorrect because the security characteristic line relates asset returns to market returns, not the risk-free rate. Option C is incorrect because the line shows systematic risk relationship, not total risk.
66
An asset with a negative beta would be expected to: A. Move in the opposite direction of the market B. Have no relationship with market movements C. Be more volatile than the market
Correct Answer: A Explanation: A negative beta indicates that the asset tends to move in the opposite direction of the market - when the market goes up, the asset tends to go down, and vice versa. Option B is incorrect because a negative beta still indicates a relationship with the market, just an inverse one. Option C is incorrect because the sign of beta indicates direction, not the magnitude of volatility.
67
In practice, beta estimation is most commonly performed by: A. Using theoretical models based on asset pricing theory B. Regressing historical asset returns against market index returns C. Analyzing the asset's fundamental characteristics
Correct Answer: B Explanation: Beta is typically estimated using regression analysis of historical returns, where asset returns are regressed against market returns to find the slope coefficient (beta). Option A is incorrect because while theory guides the approach, practical estimation relies on empirical data analysis. Option C is incorrect because fundamental analysis, while useful for other purposes, is not the primary method for beta estimation.
68
The Security Market Line (SML) represents the relationship between: A. Expected return and total risk for all securities B. Expected return and systematic risk for all securities C. Expected return and unsystematic risk for all securities
Correct Answer: B Explanation: The SML shows the linear relationship between expected return and systematic risk (beta) for all securities, as systematic risk is the only risk that matters for pricing individual assets Option A is incorrect because the SML relates to systematic risk, not total risk Option C is incorrect because unsystematic risk can be diversified away and is not priced in the market
69
In the CAPM equation E(Ri) = Rf + βi[E(RMkt) - Rf], the term [E(RMkt) - Rf] represents: A. The risk-free rate B. The market risk premium C. The security's beta coefficient
Correct Answer: B Explanation: The term [E(RMkt) - Rf] represents the market risk premium, which is the excess return investors require for holding the market portfolio instead of risk-free assets Option A is incorrect because Rf alone represents the risk-free rate Option C is incorrect because βi represents the security's beta coefficient
70
According to the CAPM, a security with a beta of 1.0 should have an expected return: A. Equal to the risk-free rate B. Equal to the market return C. Greater than the market return
Correct Answer: B Explanation: A beta of 1.0 indicates the security moves exactly with the market, so its expected return should equal the market return Option A is incorrect because a beta of 1.0 means the security has market-level risk, not zero risk Option C is incorrect because a beta greater than 1.0 would be needed for returns greater than the market return
71
Which of the following is NOT an assumption of the CAPM? A. Investors are risk averse B. Markets are perfectly liquid with no transaction costs C. Investors have heterogeneous expectations about asset returns
Correct Answer: C Explanation: The CAPM assumes homogeneous expectations, meaning all investors have the same expectations about expected returns, standard deviations, and correlations Option A is incorrect because risk aversion is indeed an assumption of CAPM Option B is incorrect because frictionless markets (no transaction costs) is an assumption of CAPM
71
The standardized covariance term in the CAPM is defined as: A. Standard deviation B. Beta C. Correlation coefficient
Correct Answer: B Explanation: Beta is defined as the standardized covariance between the asset's returns and market returns (Covi,mkt/σ²mkt) Option A is incorrect because standard deviation measures total risk, not the relationship with the market Option C is incorrect because correlation measures the strength of linear relationship but is not the standardized covariance used in CAPM
72
The CAPM assumes that all investors have the same: A. Risk tolerance B. Investment horizon C. Utility function
Correct Answer: B Explanation: The CAPM assumes all investors have the same one-period investment horizon Option A is incorrect because investors can have different risk tolerances under CAPM assumptions Option C is incorrect because while investors are utility-maximizing, they don't need identical utility functions
73
In a competitive market according to CAPM assumptions: A. Investors can influence prices through their individual trades B. Investors take market prices as given C. Only institutional investors can affect market prices
Correct Answer: B Explanation: CAPM assumes competitive markets where no single investor can influence prices, so all investors are price takers Option A is incorrect because this would violate the competitive market assumption Option C is incorrect because even institutional investors cannot influence prices under CAPM assumptions
74
According to CAPM assumptions, assets are: A. Finitely divisible B. Infinitely divisible C. Available only in whole units
Correct Answer: B Explanation: CAPM assumes all investments are infinitely divisible, meaning investors can buy any fractional amount Option A is incorrect because "finitely divisible" would impose limitations on investment amounts Option C is incorrect because this would prevent optimal portfolio construction
75
The risk-free asset in the CAPM framework: A. Has a beta equal to 1.0 B. Has a beta equal to 0.0 C. Has a beta that varies with market conditions
Correct Answer: B Explanation: The risk-free asset has zero systematic risk, which means its beta equals 0.0 Option A is incorrect because a beta of 1.0 would indicate market-level systematic risk Option C is incorrect because the risk-free asset's beta is constant at zero
76
The market portfolio in CAPM theory consists of: A. Only domestic stocks B. Only risk-free assets C. All risky assets in the economy
Correct Answer: C Explanation: The theoretical market portfolio includes all risky assets in the economy, weighted by their market values Option A is incorrect because the market portfolio is not limited to domestic stocks Option B is incorrect because the market portfolio contains only risky assets, not risk-free assets
77
Beta measures: A. The correlation between a security and the market B. The sensitivity of a security's returns to market returns C. The total risk of a security
Correct Answer: B Explanation: Beta specifically measures how much a security's returns change in response to a 1% change in market returns (sensitivity) Option A is incorrect because correlation measures the strength of linear relationship, not sensitivity Option C is incorrect because beta measures only systematic risk, not total risk
78
The CAPM assumes that investors: A. Can borrow and lend at the same risk-free rate B. Cannot borrow funds for investment C. Face different borrowing and lending rates
Correct Answer: A Explanation: CAPM assumes frictionless markets where investors can both borrow and lend unlimited amounts at the same risk-free rate Option B is incorrect because borrowing is allowed in CAPM assumptions Option C is incorrect because different rates would create market friction, violating CAPM assumptions
79
According to CAPM, the expected return on any security depends on: A. Only the security's total risk B. Only the security's systematic risk C. Both systematic and unsystematic risk
Correct Answer: B Explanation: CAPM states that only systematic risk (beta) is priced because unsystematic risk can be diversified away Option A is incorrect because total risk includes unsystematic risk, which is not priced Option C is incorrect because unsystematic risk does not affect expected return in CAPM
80
Which of the following best describes the Capital Market Line (CML)? A. It represents the relationship between expected return and total risk for all portfolios. B. It shows the expected return for individual securities based on their beta. C. It plots the efficient frontier of individual securities.
Correct Answer: A Explanation: A is correct. The CML shows the risk-return relationship for efficient portfolios only, using total risk (standard deviation) on the x-axis. B is incorrect. That describes the Security Market Line (SML), which uses beta (systematic risk), not total risk. C is incorrect. The CML does not plot individual securities; it only applies to efficient portfolios.
80
Which of the following risk measures is used in the Security Market Line (SML)? A. Total risk B. Beta C. Unsystematic risk
Correct Answer: B Explanation: B is correct. The SML relates expected return to beta, which is a measure of systematic risk. A is incorrect. Total risk is used in the CML, not the SML. C is incorrect. Unsystematic risk is diversifiable and not priced in the CAPM model.
81
The Capital Asset Pricing Model (CAPM) assumes that: A. Investors are not risk-averse. B. All investors have different estimates of risk and return. C. All investors have homogeneous expectations.
Correct Answer: C Explanation: C is correct. CAPM assumes all investors share the same expectations regarding risk, return, and correlations. A is incorrect. CAPM assumes investors are risk-averse and prefer higher returns for the same level of risk. B is incorrect. That contradicts the homogeneous expectations assumption in CAPM.
82
Under the CAPM, a stock with a beta of 1.5 would: A. Have lower expected return than the market. B. Lie below the Security Market Line. C. Be expected to earn more than the market return.
Correct Answer: C Explanation: C is correct. A stock with β = 1.5 has higher systematic risk and therefore higher expected return than the market (β = 1). A is incorrect. Higher beta implies higher return, not lower. B is incorrect. If fairly priced, the stock lies on, not below, the SML.
83
Which statement best describes an asset that lies below the SML? A. It is fairly priced given its systematic risk. B. It offers a higher return per unit of risk than the market. C. It is overvalued relative to its risk.
Correct Answer: C Explanation: C is correct. Assets below the SML offer lower returns for their level of risk—thus, they are overvalued. A is incorrect. A fairly priced asset lies on the SML. B is incorrect. Assets above the SML offer higher return per unit of risk.
84
Which of the following portfolios lies on the CML? A. A portfolio of two individual stocks with positive correlation B. An inefficient portfolio with low total risk C. A combination of the market portfolio and the risk-free asset
Correct Answer: C Explanation: C is correct. Only combinations of the market portfolio and the risk-free asset lie on the CML. A is incorrect. Individual securities and non-optimal combinations do not lie on the CML. B is incorrect. Inefficient portfolios do not lie on the CML.
85
The slope of the Capital Market Line (CML) represents: A. Beta of the market B. Total risk C. Sharpe Ratio
Correct Answer: C Explanation: C is correct. The slope of the CML is the Sharpe Ratio: excess return per unit of total risk. A is incorrect. Beta is used in the SML, not the CML. B is incorrect. The x-axis shows total risk, but the slope itself is the Sharpe Ratio.
85
Which of the following is a key assumption of the CAPM? A. Investors can borrow and lend at different rates. B. Investors face different efficient frontiers. C. Markets are frictionless and investors are rational.
Correct Answer: C Explanation: C is correct. CAPM assumes no taxes, no transaction costs, and rational investors. A is incorrect. CAPM assumes investors borrow and lend at the same risk-free rate. B is incorrect. Under homogeneous expectations, investors share the same efficient frontier.
85
A stock with beta equal to zero will: A. Earn the market return B. Be perfectly uncorrelated with market movements C. Have a high level of total risk
Correct Answer: B Explanation: B is correct. Beta of 0 means no correlation with the market—its returns are unrelated to market returns. A is incorrect. It earns the risk-free rate, not the market return. C is incorrect. Total risk may be high or low, but it’s not related to beta directly.
85
In equilibrium, under the CAPM, which of the following is true? A. Investors are rewarded for total risk B. Only systematic risk is priced C. All securities lie on the CML
Correct Answer: B Explanation: B is correct. CAPM only rewards investors for bearing systematic (market) risk. A is incorrect. Total risk is not rewarded unless it's systematic. C is incorrect. Only efficient portfolios lie on the CML. All assets lie on the SML.
86
Which portfolio lies at the tangency point between the Capital Market Line (CML) and the Efficient Frontier? A. The risk-free asset B. The investor’s indifference curve C. The market portfolio
Correct Answer: C Explanation: C is correct. The market portfolio lies at the tangency point between the CML and the efficient frontier under CAPM. A is incorrect. The risk-free asset lies on the y-axis, not on the efficient frontier. B is incorrect. The indifference curve touches the CML where optimal utility is achieved, not necessarily at the tangency with the fronti
87
According to CAPM, what should be the expected return of an asset with a beta of 1? A. Equal to the risk-free rate B. Equal to the market return C. Greater than the market return
Correct Answer: B Explanation: B is correct. A beta of 1 means the asset should earn the same return as the market portfolio. A is incorrect. Assets with beta = 0 earn the risk-free rate. C is incorrect. A beta > 1 implies a return greater than the market, not a beta = 1.
88
In the CAPM model, which factor does not influence the expected return of an individual security? A. Total risk B. Beta C. Risk-free rate
Correct Answer: A Explanation: A is correct. Total risk includes diversifiable risk, which CAPM assumes is not priced. B is incorrect. Beta (systematic risk) is a key determinant of return in CAPM. C is incorrect. The risk-free rate is part of the CAPM formula.
89
A portfolio that lies inside the efficient frontier is best described as: A. Efficient B. Inefficient C. Unsystematic
Correct Answer: B Explanation: B is correct. Portfolios inside the efficient frontier are inefficient—they provide lower return for a given level of risk. A is incorrect. Only portfolios on the efficient frontier are efficient. C is incorrect. Unsystematic is a type of risk, not a descriptor for portfolios.
90
Which of the following best explains why an investor would prefer a portfolio on the Capital Market Line (CML) rather than one inside the efficient frontier? A. The CML portfolios offer lower risk for the same return. B. CML portfolios dominate by offering higher returns for each unit of total risk. C. Portfolios inside the efficient frontier are perfectly diversified.
Correct Answer: B Explanation: B is correct. Portfolios on the CML provide the highest Sharpe Ratio and dominate inefficient portfolios. **A is partially true but not precise—CML portfolios offer better return-to-risk tradeoff, not just lower risk. C is incorrect. Portfolios inside the efficient frontier are not perfectly diversified.
91
What happens to the CML if the risk-free rate increases, all else equal? A. The slope becomes steeper B. The slope flattens C. The CML remains unchanged
Correct Answer: B Explanation: B is correct. An increase in the risk-free rate decreases the slope of the CML (Sharpe Ratio), flattening the line. A is incorrect. A higher risk-free rate with unchanged market return reduces the excess return, flattening the slope. C is incorrect. The CML is affected by changes in the risk-free rate.
92
Which of the following assumptions is unique to the CAPM and not part of general modern portfolio theory? A. Investors are risk-averse B. Investors have homogeneous expectations C. Investors prefer more return for less risk
Correct Answer: B Explanation: B is correct. Homogeneous expectations are a unique assumption of CAPM. A and C are assumptions common to general portfolio theory, not just CAPM.
93
Which of the following is most likely to lie above the Security Market Line (SML)? A. An overpriced asset B. A fairly priced stock C. An underpriced asset
Correct Answer: C Explanation: C is correct. Assets above the SML offer higher returns for their level of systematic risk, indicating they are underpriced. A is incorrect. Overpriced assets lie below the SML. B is incorrect. Fairly priced assets lie on the SML.
94
Which of the following best explains why total risk is not used in CAPM? A. It cannot be measured B. Total risk includes diversifiable risk, which is not priced C. It leads to perfect correlation with returns
Correct Answer: B Explanation: B is correct. CAPM assumes only systematic risk is rewarded because diversifiable risk can be eliminated. A is incorrect. Total risk can be measured as standard deviation. C is incorrect. Total risk does not imply perfect correlation.
95
An investor with high risk aversion is most likely to choose a portfolio: A. On the CML with high σ (to the far right) B. On the CML closer to the risk-free asset C. With beta greater than 1
Correct Answer: B Explanation: B is correct. Risk-averse investors stay close to the risk-free asset on the CML. A is incorrect. High σ implies high risk, not suitable for risk-averse investors. C is incorrect. High-beta assets imply more systematic risk.
96
A portfolio formed by leveraging the market portfolio would most likely lie: A. Inside the efficient frontier B. Above the market portfolio on the CML C. Below the SML
Correct Answer: B Explanation: B is correct. Borrowing at the risk-free rate to invest more in the market pushes the portfolio above the market on the CML. A is incorrect. Leveraged portfolios lie on, not inside, the CML. C is incorrect. Fairly priced assets (including leveraged portfolios) lie on the SML.
97
Which of the following statements is consistent with the CAPM? A. Investors should hold portfolios inside the efficient frontier B. The market portfolio is inefficient C. The market portfolio lies on both the CML and SML
Correct Answer: C Explanation: C is correct. The market portfolio is the tangency point of the CML and has β = 1 on the SML. A is incorrect. Investors should hold efficient portfolios on the frontier or CML. B is incorrect. The market portfolio is efficient under CAPM.
98
Which of the following explains why stocks with low beta may still have high total risk? A. They are perfectly diversified B. Their risk comes mainly from firm-specific factors C. They have a negative correlation with the market
Correct Answer: B Explanation: B is correct. A stock with low beta may have high unsystematic (firm-specific) risk. A is incorrect. High firm-specific risk implies they are not perfectly diversified. C is incorrect. Negative correlation would lead to a negative beta, not low total risk.
99
If an asset’s beta is 0.5, which of the following must be true according to CAPM? A. It lies above the SML B. Its expected return is below the market return C. It is not affected by market movements
Correct Answer: B Explanation: B is correct. With β < 1, the expected return is less than the market return. A is incorrect. It only lies above the SML if it's underpriced. C is incorrect. Beta of 0.5 means it is affected by the market, but less than proportionally.
100
Which of the following best describes the Sharpe Ratio? A. A measure of excess return per unit of beta B. A measure of total risk C. A measure of excess return per unit of total risk
Correct Answer: C Explanation: C is correct. The Sharpe Ratio measures excess return per unit of standard deviation (total risk). A is incorrect. That describes the Treynor Ratio, not Sharpe. B is incomplete. It’s not just a measure of risk—it incorporates return as well.
101
A stock has a beta of 1.2. The risk-free rate is 5% and the expected market return is 13%. An analyst forecasts the stock will earn 11%. Which of the following is most accurate? A. The stock is overvalued and should be shorted B. The stock is undervalued and should be bought C. The stock is fairly valued and should be held
Correct Answer: A Explanation: Required Return = 5% + 1.2(13% - 5%) = 5% + 9.6% = 14.6% Expected return = 11%, which is less than required, so the stock is overvalued and plots below the SML. B is incorrect: the return is too low to justify its risk. C is incorrect: it does not meet the required return.
102
According to the CAPM and SML, a stock is said to be undervalued if: A. Its expected return is below the risk-free rate B. Its expected return equals its required return C. Its expected return exceeds its required return
Correct Answer: C Explanation: C is correct. If a stock offers more return than required for its beta risk, it's undervalued and plots above the SML. A is incorrect. That would indicate a deeply unattractive or distressed asset. B is incorrect. Equal returns indicate fair pricing, not undervaluation.
103
A stock has a beta of 0.8. The risk-free rate is 6%, and the market return is 12%. If its expected return is 10.8%, how is it classified? A. Overvalued B. Undervalued C. Properly valued
Correct Answer: C Explanation: Required Return = 6% + 0.8(12% - 6%) = 10.8% Expected return = 10.8% → Matches required return → Stock lies on the SML → Properly priced A is incorrect: expected does not fall below required. B is incorrect: no excess return over what's required.
104