Exam 2: Risk and Return: Part I

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Which of the following statements is most correct?

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Company X has a beta of 1.6, while Company Y's beta is 0.7. The risk-free rate is 7 percent, and the required rate of return on an average stock is 12 percent. Now the expected rate of inflation built into rRF rises by 1 percentage point, the real risk-free rate remains constant, the required return on the market rises to 14 percent, and betas remain constant. After all of these changes have been reflected in the data, by how much will the required return on Stock X exceed that on Stock Y?

(Multiple Choice)
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Companies should deliberately increase their risk relative to the market only if the actions that increase the risk also increase the expected rate of return on the firm's assets by enough to completely compensate for the higher risk.

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Diversifiable risk, which is measured by beta, can be lowered by adding more stocks to a portfolio.

(True/False)
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Portfolio A has but one security, while Portfolio B has 100 securities. Because of diversification, we know that Portfolio B will have the lower market risk; that is, Portfolio B will have the lower beta.

(True/False)
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Other things held constant, (1) if the expected inflation rate decreases, and (2) investors become more risk averse, the Security Market Line would shift

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Since the market return represents the return on an average stock, that return carries risk with it. 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 an investor for assuming an average amount of risk.

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While the portfolio return is a weighted average of realized security returns, portfolio risk is not necessarily a 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 actually reduce the riskiness of a portfolio.

(True/False)
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Which of the following statements is most correct?

(Multiple Choice)
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We will generally find that the beta of a diversified portfolio is more stable over time than the beta of a single security.

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Portfolio diversification reduces the variability of the returns on each security held in the portfolio.

(True/False)
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If the expected rate of return for a particular investment, as seen by the marginal investor, exceeds its required rate of return, we should soon observe an increase in demand for the investment, and the price will likely increase until a price is established that equates the expected return with the required return.

(True/False)
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If we develop a weighted average of the possible return outcomes, multiplying each outcome or "state" by its respective probability of occurrence for a particular stock, we can construct a payoff matrix of expected returns.

(True/False)
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You observe the following information regarding Company X and Company Y: • Company X has a higher expected mean return than Company Y. • Company X has a lower standard deviation than Company Y. • Company X has a higher beta than Company Y. Given this information, which of the following statements is most correct?

(Multiple Choice)
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The coefficient of variation is a better measure of risk than the standard deviation if the expected returns of the securities being compared differ significantly.

(True/False)
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Even if the correlation between the returns on two different securities is perfectly positive, if the securities are combined in the correct unequal proportions, the resulting portfolio can have less risk than either security held alone.

(True/False)
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Stock A has a beta of 1.5 and Stock B has a beta of 0.5. Which of the following statements must be true about these securities? (Assume the market is in equilibrium.)

(Multiple Choice)
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You hold a diversified portfolio consisting of a $10,000 investment in each of 20 different common stocks . The portfolio beta is equal to 1.2. You have decided to sell one of your stocks which has a beta equal to 0.7 for $10,000. You plan to use the proceeds to purchase another stock which has a beta equal to 1.4. What will be the beta of the new portfolio?

(Multiple Choice)
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The CAPM is built on expected conditions, although we are limited in most cases to using past data in applying it. Betas used in the CAPM, calculated using historical data, are always subject to changes in future volatility and this is a limitation on the use of the CAPM.

(True/False)
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Which of the following statements is most correct?

(Multiple Choice)
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