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When adding a randomly chosen new stock to an existing portfolio, the higher (or more positive) the degree of correlation between the new stock and stocks already in the portfolio, the less the additional stock will reduce the portfolio's risk.

A) True
B) False

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In portfolio analysis, we often use ex post (historical) returns and standard deviations, despite the fact that we are really interested in ex ante (future) data.

A) True
B) False

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Nile Food's stock has a beta of 1.4, while Elba Eateries' stock has a beta of 0.7. Assume that the risk-free rate, rRF, is 5.5% and the market risk premium, (rM − rRF) , equals 4%. Which of the following statements is CORRECT?


A) If the risk-free rate increases but the market risk premium remains unchanged, the required return will increase for both stocks but the increase will be larger for Nile since it has a higher beta.
B) If the market risk premium increases but the risk-free rate remains unchanged, Nile's required return will increase because it has a beta greater than 1.0 but Elba's required return will decline because it has a beta less than 1.0.
C) Since Nile's beta is twice that of Elba's, its required rate of return will also be twice that of Elba's.
D) If the risk-free rate increases while the market risk premium remains constant, then the required return on an average stock will increase.
E) If the market risk premium decreases but the risk-free rate remains unchanged, Nile's required return will decrease because it has a beta greater than 1.0 and Elba's will also decrease, but by more than Nile's because it has a beta less than 1.0.

F) All of the above
G) A) and B)

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Stock X has a beta of 0.6, while Stock Y has a beta of 1.4. Which of the following statements is CORRECT?


A) A portfolio consisting of $50,000 invested in Stock X and $50,000 invested in Stock Y will have a required return that exceeds that of the overall market.
B) Stock Y must have a higher expected return and a higher standard deviation than Stock X.
C) If expected inflation increases but the market risk premium is unchanged, then the required return on both stocks will fall by the same amount.
D) If the market risk premium declines but expected inflation is unchanged, the required return on both stocks will decrease, but the decrease will be greater for Stock Y.
E) If expected inflation declines but the market risk premium is unchanged, then the required return on both stocks will decrease but the decrease will be greater for Stock Y.

F) A) and B)
G) B) and E)

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Which of the following is most likely to occur as you add randomly selected stocks to your portfolio, which currently consists of 3 average stocks?


A) The diversifiable risk of your portfolio will likely decline, but the expected market risk should not change.
B) The expected return of your portfolio is likely to decline.
C) The diversifiable risk will remain the same, but the market risk will likely decline.
D) Both the diversifiable risk and the market risk of your portfolio are likely to decline.
E) The total risk of your portfolio should decline, and as a result, the expected rate of return on the portfolio should also decline.

F) B) and C)
G) A) and B)

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Porter Inc's stock has an expected return of 12.25%, a beta of 1.25, and is in equilibrium. If the risk-free rate is 5.00%, what is the market risk premium?


A) 5.80%
B) 5.95%
C) 6.09%
D) 6.25%
E) 6.40%

F) A) and C)
G) C) and D)

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Stocks A and B each have an expected return of 12%, a beta of 1.2, and a standard deviation of 25%. The returns on the two stocks have a correlation of +0.6. Portfolio P has 50% in Stock A and 50% in Stock B. Which of the following statements is CORRECT?


A) Portfolio P has a beta that is greater than 1.2.
B) Portfolio P has a standard deviation that is greater than 25%.
C) Portfolio P has an expected return that is less than 12%.
D) Portfolio P has a standard deviation that is less than 25%.
E) Portfolio P has a beta that is less than 1.2.

F) B) and D)
G) A) and B)

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If you plotted the returns of a company against those of the market and found that the slope of your line was negative, the CAPM would indicate that the required rate of return on the stock should be less than the risk-free rate for a well-diversified investor, assuming that the observed relationship is expected to continue in the future.

A) True
B) False

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Because of differences in the expected returns on different investments, the standard deviation is not always an adequate measure of risk. However, the coefficient of variation adjusts for differences in expected returns and thus allows investors to make better comparisons of investments' stand-alone risk.

A) True
B) False

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Which of the following statements is CORRECT?


A) A two-stock portfolio will always have a lower standard deviation than a one-stock portfolio.
B) A portfolio that consists of 40 stocks that are not highly correlated with "the market" will probably be less risky than a portfolio of 40 stocks that are highly correlated with the market, assuming the stocks all have the same standard deviations.
C) A two-stock portfolio will always have a lower beta than a one-stock portfolio.
D) If portfolios are formed by randomly selecting stocks, a 10-stock portfolio will always have a lower beta than a one-stock portfolio.
E) A stock with an above-average standard deviation must also have an above-average beta.

F) None of the above
G) C) and E)

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The CAPM is built on historic conditions, although in most cases we use expected future data in applying it. Because betas used in the CAPM are calculated using expected future data, they are not subject to changes in future volatility. This is one of the strengths of the CAPM.

A) True
B) False

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Assume that you manage a $10.00 million mutual fund that has a beta of 1.05 and a 9.50% required return. The risk-free rate is 4.20%. You now receive another $5.00 million, which you invest in stocks with an average beta of 0.65. What is the required rate of return on the new portfolio? (Hint: You must first find the market risk premium, then find the new portfolio beta.)


A) 8.83%
B) 9.05%
C) 9.27%
D) 9.51%
E) 9.74%

F) B) and C)
G) C) and D)

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Stock A has a beta = 0.8, while Stock B has a beta = 1.6. Which of the following statements is CORRECT?


A) Stock B's required return is double that of Stock A's.
B) If the marginal investor becomes more risk averse, the required return on Stock B will increase by more than the required return on Stock A.
C) An equally weighted portfolio of Stocks A and B will have a beta lower than 1.2.
D) If the marginal investor becomes more risk averse, the required return on Stock A will increase by more than the required return on Stock B.
E) If the risk-free rate increases but the market risk premium remains constant, the required return on Stock A will increase by more than that on Stock B.

F) A) and B)
G) A) and E)

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Bae Inc. is considering an investment that has an expected return of 15% and a standard deviation of 10%. What is the investment's coefficient of variation?


A) 0.67
B) 0.73
C) 0.81
D) 0.89
E) 0.98

F) B) and D)
G) A) and D)

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Assume that the risk-free rate is 6% and the market risk premium is 5%. Given this information, which of the following statements is CORRECT?


A) An index fund with beta = 1.0 should have a required return of 11%.
B) If a stock has a negative beta, its required return must also be negative.
C) An index fund with beta = 1.0 should have a required return less than 11%.
D) If a stock's beta doubles, its required return must also double.
E) An index fund with beta = 1.0 should have a required return greater than 11%.

F) A) and B)
G) All of the above

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The risk-free rate is 6% and the market risk premium is 5%. Your $1 million portfolio consists of $700,000 invested in a stock that has a beta of 1.2 and $300,000 invested in a stock that has a beta of 0.8. Which of the following statements is CORRECT?


A) If the stock market is efficient, your portfolio's expected return should equal the expected return on the market, which is 11%.
B) The required return on the market is 10%.
C) The portfolio's required return is less than 11%.
D) If the risk-free rate remains unchanged but the market risk premium increases by 2%, your portfolio's required return will increase by more than 2%.
E) If the market risk premium remains unchanged but expected inflation increases by 2%, your portfolio's required return will increase by more than 2%.

F) A) and D)
G) None of the above

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Tom O'Brien has a 2-stock portfolio with a total value of $100,000. $37,500 is invested in Stock A with a beta of 0.75 and the remainder is invested in Stock B with a beta of 1.42. What is his portfolio's beta?


A) 1.17
B) 1.23
C) 1.29
D) 1.35
E) 1.42

F) B) and C)
G) C) and E)

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Stock HB has a beta of 1.5 and Stock LB has a beta of 0.5. The market is in equilibrium, with required returns equaling expected returns. Which of the following statements is CORRECT?


A) If expected inflation remains constant but the market risk premium (rM − rRF) declines, the required return of Stock LB will decline but the required return of Stock HB will increase.
B) If both expected inflation and the market risk premium (rM − rRF) increase, the required return on Stock HB will increase by more than that on Stock LB.
C) If both expected inflation and the market risk premium (rM − rRF) increase, the required returns of both stocks will increase by the same amount.
D) Since the market is in equilibrium, the required returns of the two stocks should be the same.
E) If expected inflation remains constant but the market risk premium (rM − rRF) declines, the required return of Stock HB will decline but the required return of Stock LB will increase.

F) D) and E)
G) All of the above

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Portfolio A has but one security, while Portfolio B has 100 securities. Because of diversification effects, we would expect Portfolio B to have the lower risk. However, it is possible for Portfolio A to be less risky.

A) True
B) False

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Which of the following statements is CORRECT?


A) If a company's beta doubles, then its required rate of return will also double.
B) Other things held constant, if investors suddenly become convinced that there will be deflation in the economy, then the required returns on all stocks should increase.
C) If a company's beta were cut in half, then its required rate of return would also be halved.
D) If the risk-free rate rises by 0.5% but the market risk premium declines by that same amount, then the required rates of return on stocks with betas less than 1.0 will decline while returns on stocks with betas above 1.0 will increase.
E) If the risk-free rate rises by 0.5% but the market risk premium declines by that same amount, then the required rate of return on an average stock will remain unchanged, but required returns on stocks with betas less than 1.0 will rise.

F) B) and E)
G) A) and C)

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