The Capital Asset Pricing Model
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Chapter 9: The Capital Asset Pricing Model (CAPM)
Multiple Choice Questions
Section 9.1 The New Efficient Frontier
- Use the following two statements to answer this question:
I. Risk premium is the expected payoff to get out of a risky situation.
II. Insurance premium is the payment to get into a risky situation.
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.
Answer: B Type: Easy, Definition
- 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 and that 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.
Answer: B Type: Medium, Concept
- 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. Separation theorem states that the investment decision, that is, how to construct the portfolio of risky assets, is not separate from the financing decision, that is, 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.
Answer: B Type: Medium, Concept
- Which of the following investments would a risk averse investor prefer if the risk free rate is zero?
Value of Investment if: | |||
Investment | Cost Today | Market Return > 0% Probability: 40% | Market Return < 0% Probability: 60% |
I | $20 | $20 | $20 |
II | $15 | $30 | $0 |
III | $0 | -$10 | $10 |
A. I only
B. II only
C. III only
D. I and III only
Answer: C Type: Medium, Concept
How options were determined:
A. Arbitrary
B. Arbitrary
C.
Investment | E(Value) | E(Payoff) |
I | $20*40% + $20*60% = $20 | $20 – $20 = $0 |
II | $30*40% + $0*60% = $12 | $12 – $15 = –$3 |
III | –$10*40% + $10*60% = $2 | $2 – $0 = $2 |
A risk averse investor prefers investment III because (s)he needs a risk premium to be induced to enter a risky situation.
D. Arbitrary
- A risk averse investor has an opportunity to invest in the following securities: Security A costs $10 today and will have a value $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. I only
B. II only
C. III only
D. I and II only
Answer: B Type: Medium, Concept
How options were determined:
A. Arbitrary
B.
Investment | E(Value) | E(Payoff) |
I | $25*40% + $0*60% = $10 | $10 – $10 = $0 |
II | $12*40% + $6*60% = $8.4 | $8.4 – $8 = $0.4 |
III | $20*40% –$20*60% = –$4 | –$4 – $5 = –$9 |
A risk averse investor prefers investment II because (s)he needs a risk premium to be induced to enter a risky situation.
C. Arbitrary
D. Arbitrary
- Given the following information, which investment(s) would risk averse investors prefer if the risk free rate is 5 percent?
Value of Investment after one year if: | |||
Investment | Cost Today | Market Return > 0% Probability: 40% | Market Return < 0% Probability: 60% |
I | $18 | $36 | $8 |
II | $14 | $12 | $16 |
III | $15 | $30 | $5 |
A. I only
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