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A portfolio's risk is measured by the weighted average of the standard deviations of the securities in the portfolio. It is this aspect of portfolios that allows investors to combine stocks and thus reduce the riskiness of their portfolios.

A) True
B) False

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Stock A's stock has a beta of 1.30, and its required return is 12.00%. Stock B's beta is 0.80. If the risk-free rate is 4.75%, what is the required rate of return on B's stock? (Hint: First find the market risk premium.)


A) 8.76%
B) 8.98%
C) 9.21%
D) 9.44%
E) 9.68%

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

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Stock A has an expected return of 10% and a standard deviation of 20%. Stock B has an expected return of 13% and a standard deviation of 30%. The risk-free rate is 5% and the market risk premium, rM − rRF, is 6%. Assume that the market is in equilibrium. Portfolio AB has 50% invested in Stock A and 50% invested in Stock B. The returns of Stock A and Stock B are independent of one another, i.e., the correlation coefficient between them is zero. Which of the following statements is CORRECT?


A) Stock A's beta is 0.8333.
B) Since the two stocks have zero correlation, Portfolio AB is riskless.
C) Stock B's beta is 1.0000.
D) Portfolio AB's required return is 11%.
E) Portfolio AB's standard deviation is 25%.

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

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Nagel Equipment has a beta of 0.88 and an expected dividend growth rate of 4.00% per year. The T-bill rate is 4.00%, and the T-bond rate is 5.25%. The annual return on the stock market during the past 4 years was 10.25%. Investors expect the average annual future return on the market to be 12.50%. Using the SML, what is the firm's required rate of return?


A) 11.34%
B) 11.63%
C) 11.92%
D) 12.22%
E) 12.52%

F) A) and E)
G) A) and D)

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Assume that you are the portfolio manager of the SF Fund, a $3 million hedge fund that contains the following stocks. The required rate of return on the market is 11.00% and the risk-free rate is 5.00%. What rate of return should investors expect (and require) on this fund?


A) 10.56%
B) 10.83%
C) 11.11%
D) 11.38%
E) 11.67%

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

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The coefficient of variation, calculated as the standard deviation of expected returns divided by the expected return, is a standardized measure of the risk per unit of expected return.

A) True
B) False

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Which of the following statements is CORRECT?


A) The beta of a portfolio of stocks is always smaller than the betas of any of the individual stocks.
B) If you found a stock with a zero historical beta and held it as the only stock in your portfolio, you would by definition have a riskless portfolio.
C) The beta coefficient of a stock is normally found by regressing past returns on a stock against past market returns. One could also construct a scatter diagram of returns on the stock versus those on the market, estimate the slope of the line of best fit, and use it as beta. However, this historical beta may differ from the beta that exists in the future.
D) The beta of a portfolio of stocks is always larger than the betas of any of the individual stocks.
E) It is theoretically possible for a stock to have a beta of 1.0. If a stock did have a beta of 1.0, then, at least in theory, its required rate of return would be equal to the risk-free (default-free) rate of return, rRF.

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

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Stock A has a beta of 0.8, Stock B has a beta of 1.0, and Stock C has a beta of 1.2. Portfolio P has equal amounts invested in each of the three stocks. Each of the stocks has a standard deviation of 25%. The returns on the three stocks are independent of one another (i.e., the correlation coefficients all equal zero) . Assume that there is an increase in the market risk premium, but the risk-free rate remains unchanged. Which of the following statements is CORRECT?


A) The required return of all stocks will remain unchanged since there was no change in their betas.
B) The required return on Stock A will increase by less than the increase in the market risk premium, while the required return on Stock C will increase by more than the increase in the market risk premium.
C) The required return on the average stock will remain unchanged, but the returns of riskier stocks (such as Stock C) will increase while the returns of safer stocks (such as Stock A) will decrease.
D) The required returns on all three stocks will increase by the amount of the increase in the market risk premium.
E) The required return on the average stock will remain unchanged, but the returns on riskier stocks (such as Stock C) will decrease while the returns on safer stocks (such as Stock A) will increase.

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

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Assume that you hold a well-diversified portfolio that has an expected return of 11.0% and a beta of 1.20. You are in the process of buying 1,000 shares of Alpha Corp at $10 a share and adding it to your portfolio. Alpha has an expected return of 13.0% and a beta of 1.50. The total value of your current portfolio is $90,000. What will the expected return and beta on the portfolio be after the purchase of the Alpha stock?


A) 10.64%; 1.17
B) 11.20%; 1.23
C) 11.76%; 1.29
D) 12.35%; 1.36
E) 12.97%; 1.42

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

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If investors become less averse to risk, the slope of the Security Market Line (SML) will increase.

A) True
B) False

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Stock A has a beta of 0.8, Stock B has a beta of 1.0, and Stock C has a beta of 1.2. Portfolio P has 1/3 of its value invested in each stock. Each stock has a standard deviation of 25%, and their returns are independent of one another, i.e., the correlation coefficients between each pair of stocks is zero. Assuming the market is in equilibrium, which of the following statements is CORRECT?


A) Portfolio P's expected return is greater than the expected return on Stock B.
B) Portfolio P's expected return is equal to the expected return on Stock A.
C) Portfolio P's expected return is less than the expected return on Stock B.
D) Portfolio P's expected return is equal to the expected return on Stock B.
E) Portfolio P's expected return is greater than the expected return on Stock C.

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

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Most corporations earn returns for their stockholders by acquiring and operating tangible and intangible assets. The relevant risk of each asset should be measured in terms of its effect on the risk of the firm's stockholders.

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) B) and E)
G) D) and E)

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

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Consider the following information for three stocks, A, B, and C. The stocks' returns are positively but not perfectly positively correlated with one another, i.e., the correlations are all between 0 and 1. Portfolio AB has half of its funds invested in Stock A and half in Stock B. Portfolio ABC has one third of its funds invested in each of the three stocks. The risk-free rate is 5%, and the market is in equilibrium, so required returns equal expected returns. Which of the following statements is CORRECT?


A) Portfolio AB has a standard deviation of 20%.
B) Portfolio AB's coefficient of variation is greater than 2.0.
C) Portfolio AB's required return is greater than the required return on Stock A.
D) Portfolio ABC's expected return is 10.66667%.
E) Portfolio ABC has a standard deviation of 20%.

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

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A highly risk-averse investor is considering adding one additional stock to a 3-stock portfolio, to form a 4-stock portfolio. The three stocks currently held all have b = 1.0, and they are perfectly positively correlated with the market. Potential new Stocks A and B both have expected returns of 15%, are in equilibrium, and are equally correlated with the market, with r = 0.75. However, Stock A's standard deviation of returns is 12% versus 8% for Stock B. Which stock should this investor add to his or her portfolio, or does the choice not matter?


A) Either A or B, i.e., the investor should be indifferent between the two.
B) Stock A.
C) Stock B.
D) Neither A nor B, as neither has a return sufficient to compensate for risk.
E) Add A, since its beta must be lower.

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

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The risk-free rate is 6%; Stock A has a beta of 1.0; Stock B has a beta of 2.0; and the market risk premium, rM − rRF, is positive. Which of the following statements is CORRECT?


A) If the risk-free rate increases but the market risk premium stays unchanged, Stock B's required return will increase by more than Stock A's.
B) Stock B's required rate of return is twice that of Stock A.
C) If Stock A's required return is 11%, then the market risk premium is 5%.
D) If Stock B's required return is 11%, then the market risk premium is 5%.
E) If the risk-free rate remains constant but the market risk premium increases, Stock A's required return will increase by more than Stock B's.

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

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Stock A has a beta of 0.8 and Stock B has a beta of 1.2. 50% of Portfolio P is invested in Stock A and 50% is invested in Stock B. If the market risk premium (rM − rRF) were to increase but the risk-free rate (rRF) remained constant, which of the following would occur?


A) The required return would increase for both stocks but the increase would be greater for Stock B than for Stock A.
B) The required return would decrease by the same amount for both Stock A and Stock B.
C) The required return would increase for Stock A but decrease for Stock B.
D) The required return on Portfolio P would remain unchanged.
E) The required return would increase for Stock B but decrease for Stock A.

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

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The slope of the SML is determined by the value of beta.

A) True
B) False

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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 E)
G) B) and C)

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