Exam 6: Risks and Rates of Return

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Which of the following statements is CORRECT?

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B

It is possible for a firm to have a positive beta, even if the correlation between its returns and those of another firm is negative.

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True

Which of the following statements is CORRECT?

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E

Jane has a portfolio of 20 average stocks, and Dick has a portfolio of 2 average stocks. Assuming the market is in equilibrium, which of the following statements is CORRECT?

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Scheuer Enterprises has a beta of 1.10, the real risk-free rate is 2.00%, investors expect a 3.00% future inflation rate, and the market risk premium is 4.70%. What is Scheuer's required rate of return?

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The Y-axis intercept of the SML indicates the required return on an individual asset whenever the realized return on an average (b = 1) stock is zero.

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Over the past 75 years, we have observed that investments with the highest average annual returns also tend to have the highest standard deviations of annual returns. This observation supports the notion that there is a positive correlation between risk and return. Which of the following answers correctly ranks investments from highest to lowest risk (and return), where the security with the highest risk is shown first, the one with the lowest risk last?

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"Risk aversion" implies that investors require higher expected returns on riskier than on less risky securities.

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A stock's beta measures its diversifiable risk relative to the diversifiable risks of other firms.

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Assume that the risk-free rate remains constant, but the market risk premium declines. Which of the following is most likely to occur?

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In a portfolio of three randomly selected stocks, which of the following could NOT be true, i.e., which statement always is false?

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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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Managers should under no conditions take actions that increase their firm's risk relative to the market, regardless of how much those actions would increase the firm's expected rate of return.

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Which of the following statements is CORRECT?

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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.

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If the returns of two firms are negatively correlated, then one of them must have a negative beta.

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If an investor buys enough stocks, he or she can, through diversification, eliminate all of the market risk inherent in owning stocks, but as a general rule it will not be possible to eliminate all diversifiable risk.

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A mutual fund manager has a $40 million portfolio with a beta of 1.00. The risk-free rate is 4.25%, and the market risk premium is 6.00%. The manager expects to receive an additional $60 million which she plans to invest in additional stocks. After investing the additional funds, she wants the fund's required and expected return to be 13.00%. What must the average beta of the new stocks be to achieve the target required rate of return?

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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?

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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.

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