Exam 6: Risk, Return, and the Capital Asset Pricing Model

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We would almost always find that the beta of a diversified portfolio is less stable over time than the beta of a single security.

(True/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.)

(Multiple Choice)
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Desreumaux 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?

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Stock X has a beta of 0.7 and Stock Y has a beta of 1.3. The standard deviation of each stock's returns is 20%. The stocks' returns are independent of each other, i.e., the correlation coefficient, r, between them is zero. Portfolio P consists of 50% X and 50% Y. Given this information, which of the following statements is CORRECT?

(Multiple Choice)
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Which of the following statements is CORRECT?

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A firm can change its beta through managerial decisions, including capital budgeting and capital structure decisions.

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Assume that in recent years both expected inflation and the market risk premium (rM − rRF) have declined. Assume also that all stocks have positive betas. Which of the following would be most likely to have occurred as a result of these changes?

(Multiple Choice)
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Linke Motors has a beta of 1.30, the T-bill rate is 3.00%, and the T- bond rate is 6.5%. The annual return on the stock market during the past 3 years was 15.00%, but investors expect the annual future stock market return to be 13.00%. Based on the SML, what is the firm's required return?

(Multiple Choice)
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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.

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Market risk refers to the tendency of a stock to move with the general stock market. A stock with above-average market risk will tend to be more volatile than an average stock, and its beta will be greater than 1.0.

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Assume that to cool off the economy and decrease expectations for inflation, the Federal Reserve tightened the money supply, causing an increase in the risk-free rate, rRF. Investors also became concerned that the Fed's actions would lead to a recession, and that led to an increase in the market risk premium, (rM - rRF). Under these conditions, with other things held constant, which of the following statements is most correct?

(Multiple Choice)
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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.

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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?

(Multiple Choice)
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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 Omega Corp at $10 a share and adding it to your portfolio. Omega 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 Omega stock?

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

(True/False)
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Since the market return represents the expected return on an average stock, the market return reflects a certain amount of risk. As a result, there exists a market risk premium, which is the amount over and above the risk-free rate, that is required to compensate stock investors for assuming an average amount of risk.

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Mulherin's stock has a beta of 1.23, its required return is 11.75%, and the risk-free rate is 4.30%. What is the required rate of return on the market? (Hint: First find the market risk premium.)

(Multiple Choice)
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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.

(True/False)
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Mikkelson Corporation's stock had a required return of 11.75% last year, when the risk-free rate was 5.50% and the market risk premium was 4.75%. Then an increase in investor risk aversion caused the market risk premium to rise by 2%. The risk-free rate and the firm's beta remain unchanged. What is the company's new required rate of return? (Hint: First calculate the beta, then find the required return.)

(Multiple Choice)
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Stocks A and B both have an expected return of 10% and a standard deviation of returns of 25%. Stock A has a beta of 0.8 and Stock B has a beta of 1.2. The correlation coefficient, r, between the two stocks is 0.6. Portfolio P has 50% invested in Stock A and 50% invested in B. Which of the following statements is CORRECT?

(Multiple Choice)
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