Deck 9: The Capital Asset Pricing Model Capm
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Deck 9: The Capital Asset Pricing Model Capm
1
Which of the following is a TRUE statement?
A) The tangent portfolio is the risky portfolio on the efficient frontier whose tangent line cuts the horizontal axis at the risk-free rate.
B) The new (or super) efficient frontier represents the portfolios composed of the risk-free rate and the tangent portfolio that offers the highest expected rate of return for any given level or risk.
C) The separation theorem states that the investment decision, (how to construct the portfolio of risky assets), is not separate from the financing decision, (how much should be invested or borrowed in the risk-free asset).
D) The market portfolio is a portfolio that contains some risky securities in the market.
A) The tangent portfolio is the risky portfolio on the efficient frontier whose tangent line cuts the horizontal axis at the risk-free rate.
B) The new (or super) efficient frontier represents the portfolios composed of the risk-free rate and the tangent portfolio that offers the highest expected rate of return for any given level or risk.
C) The separation theorem states that the investment decision, (how to construct the portfolio of risky assets), is not separate from the financing decision, (how much should be invested or borrowed in the risk-free asset).
D) The market portfolio is a portfolio that contains some risky securities in the market.
B
2
A portfolio consists of two securities: a risk-free asset and an equity security.The expected return on the risk-free asset is 4.75 percent.The expected return of the equity security is 17 percent with a standard deviation of 23 percent.What is the portfolio expected return if the standard deviation for the portfolio is 18 percent?
a) 7.41%
b) 14.34%
c) 18.00%
d) 20.40%
a) 7.41%
b) 14.34%
c) 18.00%
d) 20.40%
b,Weight in equity,
,weight in risk free asset = 1 - 0.7826 = 0.2174
Portfolio expected return,

Portfolio expected return,

3
A portfolio consists of two securities: a 90-day T-bill and the S&P/TSX Composite.The expected return on the T-bill is 4.5 percent.The expected return of the S&P/TSX Composite is 18 percent with a standard deviation of 30 percent.What is the portfolio expected return if the standard deviation for this portfolio is 50 percent?
a) 12.60%
b) 27.00%
c) 30.00%
d) 47.00%
a) 12.60%
b) 27.00%
c) 30.00%
d) 47.00%
b,Weight in stock Y,
,weight in risk-free asset = 1 - 1.6667 = -0.6667
Portfolio expected return,

Portfolio expected return,

4
What is the expected return for a portfolio that has $2,500 invested in a risk-free asset with a 5 percent rate of return,and $7,500 invested in a risky asset with a 17 percent rate of return and a 28 percent standard deviation?
a) 8.00%
b) 10.75%
c) 14.00%
d) 22.25%
a) 8.00%
b) 10.75%
c) 14.00%
d) 22.25%
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5
The market portfolio is most accurately described as:
A) The portfolio that follows market averages like the S&P/TSX or the S&P 500
B) The portfolio similar to the MSCI AC World index
C) The portfolio of all risky assets in the world weighted in their own proportions
D) The portfolio of all assets including risk-free assets
A) The portfolio that follows market averages like the S&P/TSX or the S&P 500
B) The portfolio similar to the MSCI AC World index
C) The portfolio of all risky assets in the world weighted in their own proportions
D) The portfolio of all assets including risk-free assets
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6
Theoretically,what is meant by the market portfolio?
A) The market index portfolio similar to the S&P 500 or S&P/TSX Composite
B) The world index portfolio similar to the MSCI AC World index
C) All risky assets in the world with their own proportions
D) All assets including risk-free assets
A) The market index portfolio similar to the S&P 500 or S&P/TSX Composite
B) The world index portfolio similar to the MSCI AC World index
C) All risky assets in the world with their own proportions
D) All assets including risk-free assets
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7
A risk-averse investor has an opportunity to invest in the following securities: Security A costs $10 today and will have a value of $25 if the market goes up and $0 if the market goes down; Security B costs $8 today and will have a value of $12 if the market goes up and $6 if the market goes down; and Security C costs $5 today and will have a value of $20 if the market goes up and -$20 if the market goes down.If there is a 40 percent chance that the market will go up and the risk-free rate is zero,which security(ies)will the investor prefer?
a) A only
b) B only
c) C only
d) A and B only
a) A only
b) B only
c) C only
d) A and B only
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8
A portfolio has $1,200 invested in a risk-free asset with a 5 percent rate of return,and $3,800 invested in a risky asset with a 15 percent rate of return and a 20% standard deviation.What is the standard deviation of the portfolio?
a) 4.80%
b) 8.75%
c) 15.20%
d) 16.77%
a) 4.80%
b) 8.75%
c) 15.20%
d) 16.77%
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9
What is the standard deviation for a portfolio that has $3,500 invested in a risk-free asset with 5 percent rate of return,and $6,500 invested in a risky asset with a 15 percent rate of return and a 22 percent standard deviation?
a) 7.70%
b) 9.75%
c) 5.25%
d) 14.30%
a) 7.70%
b) 9.75%
c) 5.25%
d) 14.30%
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10
A portfolio consists of two securities: a 90-day T-bill and the S&P/TSX Composite.The expected return on the T-bill is 4.5 percent.The expected return on the S&P/TSX Composite is 12 percent with a standard deviation of 20 percent.What is the portfolio standard deviation if the expected return for this portfolio is 15 percent?
a) 8.13%
b) 12.00%
c) 16.80%
d) 28.00%
a) 8.13%
b) 12.00%
c) 16.80%
d) 28.00%
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11
Which one of the following is NOT true?
A) Insurance premiums change with the level of risk aversion of the investor.
B) Risk premiums change with the level of risk aversion of the investor.
C) All investors are sitting at the same point on the efficient frontier.
D) T-bills represent the lowest level of return that an investor expects to get.
A) Insurance premiums change with the level of risk aversion of the investor.
B) Risk premiums change with the level of risk aversion of the investor.
C) All investors are sitting at the same point on the efficient frontier.
D) T-bills represent the lowest level of return that an investor expects to get.
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12
A portfolio consists of two securities: a risk-free asset and an equity security.The expected return on the risk-free asset is 4.25 percent.The expected return of the equity security is 16 percent with a standard deviation of 22 percent.What is the portfolio standard deviation if the expected return for the portfolio is 12 percent?
a) 6.99%
b) 7.49%
c) 10.55%
d) 14.51%
a) 6.99%
b) 7.49%
c) 10.55%
d) 14.51%
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13
What are the expected return and standard deviation for a portfolio that has $2,000 invested in a risk-free asset with 5.25 percent rate of return,and $8,000 invested in a risky asset with a 21 percent rate of return and a 35 percent standard deviation?
a) Expected return = 17.85%; standard deviation = 28.00%
b) Expected return = 28.00%; standard deviation = 17.85%
c) Expected return = 7.00%; standard deviation = 8.40%
d) Expected return = 8.40%; standard deviation = 7.00%
a) Expected return = 17.85%; standard deviation = 28.00%
b) Expected return = 28.00%; standard deviation = 17.85%
c) Expected return = 7.00%; standard deviation = 8.40%
d) Expected return = 8.40%; standard deviation = 7.00%
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14
Which of the following is NOT a correct statement?
A) Risk-averse investors will not willingly undertake fair gambles.
B) Risk-averse investors prefer to gamble on a risky situation where there is an equal probability of winning or losing the same amount of money.
C) Risk-averse investors require a risk premium to bear risk; the more risk averse they are, the higher the risk premium they require.
D) Risk-averse investors are willing to pay an insurance premium to get out of a risky situation.
A) Risk-averse investors will not willingly undertake fair gambles.
B) Risk-averse investors prefer to gamble on a risky situation where there is an equal probability of winning or losing the same amount of money.
C) Risk-averse investors require a risk premium to bear risk; the more risk averse they are, the higher the risk premium they require.
D) Risk-averse investors are willing to pay an insurance premium to get out of a risky situation.
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15
What is the expected value from an investment that is equally likely to move from $100 to $180 or $100 to $70?
a) $ 140
b) $ 115
c) $ 85
d) $ 125
a) $ 140
b) $ 115
c) $ 85
d) $ 125
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16
Given the following information,which investment(s)would risk-averse investors prefer if the risk-free rate is 5 percent?
a) I only
b) II only
c) III only
d) I and II only

a) I only
b) II only
c) III only
d) I and II only
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17
What is the expected payoff from an investment that is equally likely to move from $100 to $180 or $100 to $70?
a) 40
b) 15
c) -15
d) 25
a) 40
b) 15
c) -15
d) 25
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18
Which of the following investments would a risk-averse investor prefer if the risk-free rate is zero?
a) I only
b) II only
c) III only
d) I and III only

a) I only
b) II only
c) III only
d) I and III only
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19
Use the following statements to answer this question:
I)The risk premium is the expected payoff needed to get out of a risky situation.
II)The insurance premium is the payment needed to get into a risky situation.
III)Risk-averse investors willingly take fair gambles.
A) I, II, and III are correct.
B) I, II, and III are incorrect.
C) I, II are correct, and III is incorrect.
D) I, II are incorrect, and III is correct.
I)The risk premium is the expected payoff needed to get out of a risky situation.
II)The insurance premium is the payment needed to get into a risky situation.
III)Risk-averse investors willingly take fair gambles.
A) I, II, and III are correct.
B) I, II, and III are incorrect.
C) I, II are correct, and III is incorrect.
D) I, II are incorrect, and III is correct.
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20
Which one of the following is NOT true?
A) The separation theorem states that the borrowing decision and investment decision are separate.
B) Investors should look at investments in terms of their prospective return, not their cost
C) The separation theorem states that you cannot separate your risk-free and stock investments.
D) The market portfolio is the tangent line that goes through the risk-free rate.
A) The separation theorem states that the borrowing decision and investment decision are separate.
B) Investors should look at investments in terms of their prospective return, not their cost
C) The separation theorem states that you cannot separate your risk-free and stock investments.
D) The market portfolio is the tangent line that goes through the risk-free rate.
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21
What is the expected return on an efficient portfolio with a standard deviation of 15 percent? Assume the risk-free rate is 6 percent and the expected return on the market portfolio is 14.8 percent with a standard deviation of 20 percent.
a) 8.20%
b) 12.60%
c) 16.50%
d) 17.73%
a) 8.20%
b) 12.60%
c) 16.50%
d) 17.73%
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22
Greg has $10,000 to invest in a risk-free asset and the market portfolio.The risk-free rate is 4.8 percent.The market portfolio has an expected return of 13.6 percent with a standard deviation of 15 percent.What are the expected return and standard deviation for a portfolio with 30 percent of the funds invested in the risk-free asset?
a) Expected return = 10.50%; standard deviation = 10.96%
b) Expected return = 10.96%; standard deviation = 10.50%
c) Expected return = 4.50%; standard deviation = 7.44%
d) Expected return = 7.44%; standard deviation = 4.50%
a) Expected return = 10.50%; standard deviation = 10.96%
b) Expected return = 10.96%; standard deviation = 10.50%
c) Expected return = 4.50%; standard deviation = 7.44%
d) Expected return = 7.44%; standard deviation = 4.50%
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23
Which of the following is NOT an implication resulting from the assumption that capital markets are in equilibrium?
A) All assets are assumed to be bought and sold at the equilibrium price established by supply and demand.
B) All assets are not correctly priced to adequately compensate investors for the associated risks.
C) The price for an overpriced asset would eventually fall to an equilibrium level so that the asset is held by all investors.
D) The market portfolio will be the most efficient portfolio, with respect to the weights attached to the individual securities composing it.
A) All assets are assumed to be bought and sold at the equilibrium price established by supply and demand.
B) All assets are not correctly priced to adequately compensate investors for the associated risks.
C) The price for an overpriced asset would eventually fall to an equilibrium level so that the asset is held by all investors.
D) The market portfolio will be the most efficient portfolio, with respect to the weights attached to the individual securities composing it.
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24
What is the standard deviation of an efficient portfolio with an 8 percent expected return? Assume the risk-free rate is 3.75 percent and the expected return on the market portfolio is 10 percent with a standard deviation of 20 percent.
a) 2.62%
b) 6.40%
c) 6.80%
d) 13.60%
a) 2.62%
b) 6.40%
c) 6.80%
d) 13.60%
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25
Suppose you have $5,000 to invest in a risk-free asset and the market portfolio.The expected return on the market portfolio is 13.5 percent with a standard deviation of 18 percent.The risk-free rate is 4.25 percent.How much of your funds should be in the risk-free asset if the portfolio has an expected return of 10 percent?
a) $1,892
b) $2,091
c) $2,909
d) $3,108
a) $1,892
b) $2,091
c) $2,909
d) $3,108
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26
The expected return on the market is 12 percent with a standard deviation of 20 percent.The risk-free rate is 4.5 percent.What is the Sharpe ratio of a portfolio with an expected return of 10.5 percent and a standard deviation of 12 percent?
a) 0.38
b) 0.50
c) 0.70
d) 0.88
a) 0.38
b) 0.50
c) 0.70
d) 0.88
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27
An efficient portfolio has a 18% expected return.If the expected market return is 11% (with a standard deviation of 18%),and the risk-free rate is 5.5 %,what is the standard deviation of the portfolio?
a) 9.33%
b) 11.12%
c) 19.37%
d) 40.91%
a) 9.33%
b) 11.12%
c) 19.37%
d) 40.91%
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28
The expected return on the market is 12.5 percent with a standard deviation of 25 percent.The risk-free rate is 5.5 percent.What is the expected return on an efficient portfolio with a standard deviation of 30 percent?
a) 4.10%
b) 11.33%
c) 13.90%
d) 28.90%
a) 4.10%
b) 11.33%
c) 13.90%
d) 28.90%
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29
Which of the following is a FALSE statement of the market price of risk?
A) It is the incremental risk divided by the incremental expected return.
B) It is the slope of the capital market line.
C) It is the equilibrium price of risk in the capital market.
D) It indicates the additional expected return that the market demands for an increase in a portfolio's risk.
A) It is the incremental risk divided by the incremental expected return.
B) It is the slope of the capital market line.
C) It is the equilibrium price of risk in the capital market.
D) It indicates the additional expected return that the market demands for an increase in a portfolio's risk.
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30
Which of the following is a NOT an assumption of the CAPM?
A) All investors have different expectations about expected returns, standard deviations, and correlation coefficients for all securities.
B) All investors can borrow or lend money at the risk-free rate of return.
C) There are no transaction costs.
D) There are no personal income taxes so that investors are indifferent between capital gains and dividends.
A) All investors have different expectations about expected returns, standard deviations, and correlation coefficients for all securities.
B) All investors can borrow or lend money at the risk-free rate of return.
C) There are no transaction costs.
D) There are no personal income taxes so that investors are indifferent between capital gains and dividends.
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31
By combining the risk-free asset and the efficient frontier,the _____________ will be created.
A) capital market line
B) efficient frontier
C) security market line
D) attainable set
A) capital market line
B) efficient frontier
C) security market line
D) attainable set
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32
The expected return of the market portfolio is 14 percent with a standard deviation of 25 percent.The risk-free rate is 6 percent.What would be the weight of the market portfolio in an efficient portfolio with a standard deviation of 30 percent,if borrowing is not allowed?
a) 16.78%
b) 83.33%
c) 20%
d) Cannot be constructed
a) 16.78%
b) 83.33%
c) 20%
d) Cannot be constructed
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33
Use the following three statements to answer this question:
I)The CML must always be upward sloping,and it predicts required returns.
II)The CML is based on expected rates of return,so it is ex post.
III)The CML slope is the Sharpe ratio.
A) I, II, and III are correct.
B) I, II, and III are incorrect.
C) I and III are correct and II is incorrect.
D) I is incorrect, II and III are correct.
I)The CML must always be upward sloping,and it predicts required returns.
II)The CML is based on expected rates of return,so it is ex post.
III)The CML slope is the Sharpe ratio.
A) I, II, and III are correct.
B) I, II, and III are incorrect.
C) I and III are correct and II is incorrect.
D) I is incorrect, II and III are correct.
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34
Which of the following is a FALSE statement about the Sharpe ratio?
A) It is used to assess the performance of portfolios.
B) It describes how well an asset's return compensates investors for the risk taken.
C) It is the slope of the CML when the portfolio is not the market portfolio.
D) It is a "risk-adjusted" measure of portfolio performance.
A) It is used to assess the performance of portfolios.
B) It describes how well an asset's return compensates investors for the risk taken.
C) It is the slope of the CML when the portfolio is not the market portfolio.
D) It is a "risk-adjusted" measure of portfolio performance.
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35
What does the capital market line represent?
A) The highest attainable expected return for any given risk level that includes only efficient portfolios.
B) The frontier of efficient portfolios of risky assets.
C) The best return portfolio.
D) The lowest variance portfolios.
A) The highest attainable expected return for any given risk level that includes only efficient portfolios.
B) The frontier of efficient portfolios of risky assets.
C) The best return portfolio.
D) The lowest variance portfolios.
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36
The risk-free rate is 5.25 percent.The expected return on the market is 12 percent with a standard deviation of 18 percent.What is the standard deviation of an efficient portfolio with a 16 percent expected return?
a) 7.33%
b) 10.12%
c) 19.11%
d) 28.67%
a) 7.33%
b) 10.12%
c) 19.11%
d) 28.67%
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37
The CML relates:
A) expected return to beta.
B) the risk-free rate to the market portfolio's rate of return.
C) risk to beta.
D) expected return to standard deviation.
A) expected return to beta.
B) the risk-free rate to the market portfolio's rate of return.
C) risk to beta.
D) expected return to standard deviation.
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38
The CAPM Model makes all the assumptions below EXCEPT:
A) Assuming no transactional costs.
B) Assuming no personal income taxes.
C) Assuming all investors have different expectations about expected returns, and standard deviations for all traded securities.
D) Assuming all investors can borrow/lend at the risk-free rate.
A) Assuming no transactional costs.
B) Assuming no personal income taxes.
C) Assuming all investors have different expectations about expected returns, and standard deviations for all traded securities.
D) Assuming all investors can borrow/lend at the risk-free rate.
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39
Min has $5,000 to invest.The expected return on the market portfolio is 11 percent with a standard deviation of 15 percent.What are the expected return and standard deviation for the portfolio if she borrowed $2,000 at the risk-free rate of 4 percent to invest in the market portfolio?
a) Expected return = 19.40%; standard deviation = 15.40%
b) Expected return = 15.40%; standard deviation = 19.40%
c) Expected return = 13.80%; standard deviation = 21.00%
d) Expected return = 21.00%; standard deviation = 13.80%
a) Expected return = 19.40%; standard deviation = 15.40%
b) Expected return = 15.40%; standard deviation = 19.40%
c) Expected return = 13.80%; standard deviation = 21.00%
d) Expected return = 21.00%; standard deviation = 13.80%
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40
The expected return on the market is 12 percent with a standard deviation of 15 percent and the risk-free rate is 5 percent.What is the required return on an efficient portfolio that has a standard deviation of 18 percent?
a) 10.83%
b) 12.67%
c) 13.40%
d) 14.40%
a) 10.83%
b) 12.67%
c) 13.40%
d) 14.40%
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41
Under the CAPM,an investor should be compensated for bearing:
A) total risk
B) diversifiable risk
C) systematic risk
D) unsystematic risk
A) total risk
B) diversifiable risk
C) systematic risk
D) unsystematic risk
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42
The expected return on the market is 11.5 percent with a standard deviation of 13 percent and the risk-free rate is 4 percent.Which of the following portfolios are undervalued?
a) 1 and 2 only
b) 1 and 4 only
c) 2 and 3 only
d) 3 and 4 only

a) 1 and 2 only
b) 1 and 4 only
c) 2 and 3 only
d) 3 and 4 only
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43
Suppose you have $2,000 to invest.The market portfolio has an expected return of 10.5 percent and a standard deviation of 16 percent.The risk-free rate is 3.75 percent.How much should you invest in the risk-free asset if you wish to have a 15 percent return on the portfolio?
a) $667
b) -$667
c) $1,333
d) -$1,333
a) $667
b) -$667
c) $1,333
d) -$1,333
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44
Which of the following is a FALSE statement about the security market line (SML)?
A) It is upward sloping, which indicates that investors require a higher expected return on riskier securities.
B) It represents the trade off between total risk and the required rate of return for any risky security.
C) It indicates that the size of the risk premium varies directly with a security's market risk, as measured by beta.
D) It implies that securities with betas less than the market beta of 1.0 are less risky than the "average" stock and will therefore have lower required rates of return.
A) It is upward sloping, which indicates that investors require a higher expected return on riskier securities.
B) It represents the trade off between total risk and the required rate of return for any risky security.
C) It indicates that the size of the risk premium varies directly with a security's market risk, as measured by beta.
D) It implies that securities with betas less than the market beta of 1.0 are less risky than the "average" stock and will therefore have lower required rates of return.
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45
Which of the following is NOT a correct statement of beta?
A) It is a measure of market risk.
B) It measures the risk of an individual stock or portfolio relative to the market portfolio.
C) It is the slope of the capital market line.
D) It changes through time as the risk of the underlying security or portfolio changes.
A) It is a measure of market risk.
B) It measures the risk of an individual stock or portfolio relative to the market portfolio.
C) It is the slope of the capital market line.
D) It changes through time as the risk of the underlying security or portfolio changes.
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46
Use the following three statements to answer this question:
I)The CAPM points out that rational investors should be compensated for unique risk.
II)The CAPM implies that non-systematic risk is the appropriate measure of risk to determine the risk premium required by investors for holding a risky security.
III)The expected return from non-systematic risk is zero.
A) I, II and III are correct.
B) I and II are incorrect, III is correct.
C) I, II are correct, III is incorrect.
D) I, III are incorrect, II is correct.
I)The CAPM points out that rational investors should be compensated for unique risk.
II)The CAPM implies that non-systematic risk is the appropriate measure of risk to determine the risk premium required by investors for holding a risky security.
III)The expected return from non-systematic risk is zero.
A) I, II and III are correct.
B) I and II are incorrect, III is correct.
C) I, II are correct, III is incorrect.
D) I, III are incorrect, II is correct.
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47
The expected return on the market is 15 percent with a standard deviation of 12.5 percent and the risk-free rate is 5 percent.Which of the following portfolios are correctly priced?
a) 1 and 3 only
b) 1 and 4 only
c) 2 and 3 only
d) 3 and 4 only

a) 1 and 3 only
b) 1 and 4 only
c) 2 and 3 only
d) 3 and 4 only
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48
Use the following three statements to answer this question:
I)The capital market line (CML)depicts the highest attainable expected return for any given risk level that includes only efficient portfolios.
II)The security market line (SML)depicts the required rate of return for any given risk level that includes only individual securities.
III)The Security Market Line (SML)measures the price of systematic risk.
A) I, II and III are correct.
B) I, II and III are incorrect.
C) I and III are correct, II is incorrect.
D) I is incorrect, II and III are correct.
I)The capital market line (CML)depicts the highest attainable expected return for any given risk level that includes only efficient portfolios.
II)The security market line (SML)depicts the required rate of return for any given risk level that includes only individual securities.
III)The Security Market Line (SML)measures the price of systematic risk.
A) I, II and III are correct.
B) I, II and III are incorrect.
C) I and III are correct, II is incorrect.
D) I is incorrect, II and III are correct.
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49
Which of the following describes how the portfolio changes relative to changes in the overall market?
A) market risk premium
B) beta
C) risk-free rate
D) systematic risk
A) market risk premium
B) beta
C) risk-free rate
D) systematic risk
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50
Assume that the CAPM holds.If a security has a beta of 1,its expected return is:
A) the risk-free rate
B) 1 percent
C) the return on the market portfolio
D) cannot be determined with the above information
A) the risk-free rate
B) 1 percent
C) the return on the market portfolio
D) cannot be determined with the above information
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51
The expected return on the market is 12 percent with a standard deviation of 15 percent and the risk-free rate is 4.5 percent.Which of the following portfolios are overvalued?
a) 1 and 2 only
b) 1 and 4 only
c) 2 and 3 only
d) 3 and 4 only

a) 1 and 2 only
b) 1 and 4 only
c) 2 and 3 only
d) 3 and 4 only
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52
The expected returns for Securities ABC and XYZ are 8 percent and 13 percent,respectively.The standard deviation is 12 percent for ABC and 18 percent for XYZ.There is no relationship between the returns on the two securities.The market return is 12.5 percent with a standard deviation of 16 percent.The risk-free rate is 5 percent.What is the Sharpe ratio of a portfolio with 40 percent of the funds in ABC and 60 percent in XYZ?
a) 0.47
b) 0.51
c) 0.75
d) 0.93
a) 0.47
b) 0.51
c) 0.75
d) 0.93
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53
The expected return of Security A is 12 percent with a standard deviation of 15 percent.The expected return of Security B is 9 percent with a standard deviation of 10 percent.Securities A and B have a correlation of 0.4.The market return is 11 percent with a standard deviation of 13 percent and the risk-free rate is 4 percent.What is the Sharpe ratio of a portfolio if 35 percent of the portfolio is in Security A and the remainder in Security B?
a) 0.54
b) 0.61
c) 0.86
d) 1.02
a) 0.54
b) 0.61
c) 0.86
d) 1.02
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54
The expected return on the market portfolio is 13 percent with a standard deviation of 16 percent.What are the expected return and standard deviation for a portfolio with 40 percent of the investment in the market portfolio borrowed at the risk-free rate of 5 percent?
a) Expected return = 26.67%; expected return = 18.33%
b) Expected return = 18.33%; standard deviation = 26.67%
c) Expected return = 22.40%; standard deviation = 16.20%
d) Expected return = 16.20%; standard deviation = 22.40%
a) Expected return = 26.67%; expected return = 18.33%
b) Expected return = 18.33%; standard deviation = 26.67%
c) Expected return = 22.40%; standard deviation = 16.20%
d) Expected return = 16.20%; standard deviation = 22.40%
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55
The expected returns for Securities ABC and XYZ are 8 percent and 13 percent,respectively.The standard deviation is 12 percent for ABC and 18 percent for XYZ.There is no relationship between the returns on the two securities.The market return is 12.5 percent with a standard deviation of 16 percent.The risk-free rate is 5 percent.Which of the following is not an efficient portfolio as determined by the lowest Sharpe ratio?
a) 100% invested in ABC is efficient
b) 100% invested in XYZ is efficient
c) 52% in ABC and 48% XYZ is efficient
d) 48% in ABC and 52% XYZ is efficient
a) 100% invested in ABC is efficient
b) 100% invested in XYZ is efficient
c) 52% in ABC and 48% XYZ is efficient
d) 48% in ABC and 52% XYZ is efficient
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56
The expected return of Security A is 12 percent with a standard deviation of 15 percent.The expected return of Security B is 9 percent with a standard deviation of 10 percent.Securities A and B have a correlation of 0.4.The market return is 11 percent with a standard deviation of 13 percent and the risk-free rate is 4 percent.Which one of the following is not an efficient portfolio,as determined by the lowest Sharpe ratio?
a) 100% invested in A is efficient
b) 100% invested in B is efficient
c) 41% in A and 59% B is efficient
d) 59% in A and 41% B is efficient
a) 100% invested in A is efficient
b) 100% invested in B is efficient
c) 41% in A and 59% B is efficient
d) 59% in A and 41% B is efficient
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57
Marie has $10,000 to invest.She decided to borrow some funds at the risk-free rate of 6 percent to increase her investment in a portfolio with an expected return of 25 percent and a standard deviation of 30 percent.What is the expected return and standard deviation for her portfolio if she borrowed 50 percent of the portfolio value?
a) Expected return = 34.50%; standard deviation = 45.00%
b) Expected return = 45.00%; standard deviation = 34.50%
c) Expected return = 44.00%; standard deviation = 60.00%
d) Expected return = 60.00%; standard deviation = 44.00%
a) Expected return = 34.50%; standard deviation = 45.00%
b) Expected return = 45.00%; standard deviation = 34.50%
c) Expected return = 44.00%; standard deviation = 60.00%
d) Expected return = 60.00%; standard deviation = 44.00%
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58
The ____________ measures the sensitivity of the portfolio to changes in the overall market.
A) risk-free rate
B) beta
C) risk
D) market premium
A) risk-free rate
B) beta
C) risk
D) market premium
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59
Beta is a measure of:
A) Total risk.
B) Diversifiable risk.
C) Systematic risk.
D) Unsystematic risk.
A) Total risk.
B) Diversifiable risk.
C) Systematic risk.
D) Unsystematic risk.
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60
Use the following three statements to answer this question:
I)A security with a beta of zero implies that all of the variability in this security's return is diversifiable by any investor holding a well-diversified portfolio.
II)A security with a beta of 1 implies that if the market increased (or decreased)by 1 percent,the return on the security would increase (decrease)by more than 1 percent on average.
III)A security that has a beta cannot be priced.
A) I, II and III are correct.
B) I, II and III are incorrect.
C) I is correct, II and III are incorrect.
D) I, II are incorrect, III is correct.
I)A security with a beta of zero implies that all of the variability in this security's return is diversifiable by any investor holding a well-diversified portfolio.
II)A security with a beta of 1 implies that if the market increased (or decreased)by 1 percent,the return on the security would increase (decrease)by more than 1 percent on average.
III)A security that has a beta cannot be priced.
A) I, II and III are correct.
B) I, II and III are incorrect.
C) I is correct, II and III are incorrect.
D) I, II are incorrect, III is correct.
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61
Stock Z has a standard deviation of 18 percent and a covariance with the market of 0.0625.The expected return of the market is 13 percent with a standard deviation of 20 percent.The risk-free rate is 5 percent.What is the required return of Stock Z?
a) 7.50%
b) 7.78%
c) 17.50%
d) 20.43%
a) 7.50%
b) 7.78%
c) 17.50%
d) 20.43%
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62
What is the beta of a portfolio if 40 percent of the funds are invested in a risk-free asset and the balance of the funds is invested in the market portfolio?
a) 0.4
b) 0.6
c) 0.8
d) 1.0
a) 0.4
b) 0.6
c) 0.8
d) 1.0
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63
_____________ is a measure of the risk of a security that cannot be avoided through diversification.
A) Variance
B) Standard deviation
C) Total risk
D) Beta
A) Variance
B) Standard deviation
C) Total risk
D) Beta
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64
What is the difference between the security market line (SML)and the capital market line (CML)?
A) SML prices total risk where CML prices non-systematic risk
B) SML prices systematic risk where CML prices total risk
C) SML prices total risk where CML prices systematic risk
D) SML prices systematic risk where CML prices non-systematic risk
A) SML prices total risk where CML prices non-systematic risk
B) SML prices systematic risk where CML prices total risk
C) SML prices total risk where CML prices systematic risk
D) SML prices systematic risk where CML prices non-systematic risk
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65
Use the following three statements to answer this question:
I)Beta is constant over time.
II)Empirically beta is never negative.
III)Negative beta implies a negative standard deviation.
A) I, II and III are correct.
B) I, II and III are incorrect.
C) I is correct, II and III are incorrect.
D) I, II are incorrect, III is correct.
I)Beta is constant over time.
II)Empirically beta is never negative.
III)Negative beta implies a negative standard deviation.
A) I, II and III are correct.
B) I, II and III are incorrect.
C) I is correct, II and III are incorrect.
D) I, II are incorrect, III is correct.
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66
According to the Capital Asset Pricing Model (CAPM),which one of the following statements is NOT true?
A) The expected rate of return of a security decreases proportionally with a decrease in the risk-free rate.
B) The expected rate of return of a security increases as its beta increases.
C) A fairly priced security has an alpha of zero.
D) In equilibrium, all securities lie on the security market line.
A) The expected rate of return of a security decreases proportionally with a decrease in the risk-free rate.
B) The expected rate of return of a security increases as its beta increases.
C) A fairly priced security has an alpha of zero.
D) In equilibrium, all securities lie on the security market line.
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67
Use the following two statements to answer this question:
I)In equilibrium,the expected return on all properly priced securities will lie on the SML.
II)Securities that are undervalued will lie below the SML.
A) I and II are correct.
B) I and II are incorrect.
C) I is correct, II is incorrect.
D) I is incorrect, II is correct.
I)In equilibrium,the expected return on all properly priced securities will lie on the SML.
II)Securities that are undervalued will lie below the SML.
A) I and II are correct.
B) I and II are incorrect.
C) I is correct, II is incorrect.
D) I is incorrect, II is correct.
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68
What is the beta of a portfolio if 20 percent of the funds are invested in Stock A with a beta of 2,30 percent in Stock B with a beta of 0.8,15 percent in Stock C with a beta of 2.2,and the remainder in Stock D with a beta of 1.4?
a) 1.23
b) 1.46
c) 1.74
d) 1.98
a) 1.23
b) 1.46
c) 1.74
d) 1.98
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69
Stock Y has a standard deviation of 22 percent and a covariance with the market of 0.081.The expected return of the market is 14 percent with a standard deviation of 18 percent.The risk-free rate is 5.25 percent.What is the beta of Stock Y?
a) 0.37
b) 0.45
c) 1.67
d) 2.50
a) 0.37
b) 0.45
c) 1.67
d) 2.50
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70
Given the following information,what is the beta of Stock X?
a) 0.08
b) 0.41
c) 0.62
d) 1.61

a) 0.08
b) 0.41
c) 0.62
d) 1.61
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71
Which one of the following stocks does NOT have a beta close to 1?
A) A stock that is part of the most dominant industry.
B) A stock that has a very high capitalization.
C) A newly listed stock.
D) The stock of a well-established firm.
A) A stock that is part of the most dominant industry.
B) A stock that has a very high capitalization.
C) A newly listed stock.
D) The stock of a well-established firm.
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72
What is the beta of a portfolio if 30 percent of the funds are invested in a risk-free asset,40 percent in the market portfolio,and the balance in a portfolio that has three times the risk of the market portfolio?
a) 0.4
b) 0.7
c) 1.3
d) 1.8
a) 0.4
b) 0.7
c) 1.3
d) 1.8
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73
What is the beta of a portfolio if 40 percent of the funds invested in the market portfolio are borrowed at the risk-free rate?
a) 0.60
b) 0.83
c) 1.40
d) 1.67
a) 0.60
b) 0.83
c) 1.40
d) 1.67
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74
Stock A has a standard deviation of 20 percent and a correlation coefficient of 0.64 with market returns.The expected return of the market is 12 percent with a standard deviation of 15 percent.The risk-free rate is 5 percent.What is the beta of Stock A?
a) 0.48
b) 0.75
c) 0.85
d) 1.33
a) 0.48
b) 0.75
c) 0.85
d) 1.33
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75
Use the following two statements to answer this question:
I)The characteristic line is a statistical approximation of the SML.
II)The SML ignores the non-systematic risk of a security.
A) I and II are correct
B) I is correct, II is incorrect
C) I and II are incorrect
D) I is incorrect and II is correct
I)The characteristic line is a statistical approximation of the SML.
II)The SML ignores the non-systematic risk of a security.
A) I and II are correct
B) I is correct, II is incorrect
C) I and II are incorrect
D) I is incorrect and II is correct
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76
Assuming the CAPM is valid,_____________ securities lie _____________the security market line.
A) undervalued, below
B) overvalued, on
C) undervalued, on
D) overvalued, below
A) undervalued, below
B) overvalued, on
C) undervalued, on
D) overvalued, below
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77
The current price of Stock Y is $12.It is expected that the stock will pay an annual dividend of $0.60 and sell for $13.50 in one year.The risk-free rate is 6 percent.The expected return on the market portfolio is 14 percent with a standard deviation of 17 percent.Assume the market is in equilibrium.What is the beta of Stock Y?
a) 0.70
b) 0.96
c) 1.25
d) 1.44
a) 0.70
b) 0.96
c) 1.25
d) 1.44
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78
Suppose the beta of a four-asset portfolio is 1.8.The portfolio is composed of $1,500 invested in Stock W,$2,000 in Stock X,$2,500 in Stock Y,and $3,000 in Stock Z.What is the beta of Stock Z if the betas of Stock W,X,and Y are 0.7,1.3,and 2.5,respectively?
a) 0.7
B) 1.1
c) 1.6
d) 2.1
a) 0.7
B) 1.1
c) 1.6
d) 2.1
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79
Stock X has a standard deviation of 25 percent and a correlation coefficient of 0.7 with market returns.The expected return of the market is 12 percent with a standard deviation of 15 percent.The risk-free rate is 5 percent.What is the required return of Stock X?
a) 7.94%
b) 9.56%
c) 13.17%
d) 15.28%
a) 7.94%
b) 9.56%
c) 13.17%
d) 15.28%
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80
The beta of a portfolio can be calculated as:
A) A sum of the betas of the stocks in the portfolio.
B) The weighted sum of the betas in the portfolio.
C) The average of the betas in the portfolios.
D) The weighted sum of the betas plus the correlation between betas.
A) A sum of the betas of the stocks in the portfolio.
B) The weighted sum of the betas in the portfolio.
C) The average of the betas in the portfolios.
D) The weighted sum of the betas plus the correlation between betas.
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