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

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

(True/False)
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Diversification will normally reduce the riskiness of a portfolio of stocks.

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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?

(Multiple Choice)
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Generally, the SML is used to find the required return, but on occasion the required return is given and we must solve for one of the other variables. We warn our students before the test that to answer a number of the questions they will have to transform the SML equation to solve for beta, the market risk premium, the risk-free rate, or the market return. -Maxwell Inc.'s stock has a 50% chance of producing a 25% return, a 30% chance of producing a 10% return, and a 20% chance of producing a -28% return. What is the firm's expected rate of return?

(Multiple Choice)
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For a portfolio of 40 randomly selected stocks, which of the following is most likely to be true?

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Someone who is risk averse has a general dislike for risk and a preference for certainty. If risk aversion exists in the market, then investors in general are willing to accept somewhat lower returns on less risky securities. Different investors have different degrees of risk aversion, and the end result is that investors with greater risk aversion tend to hold securities with lower risk (and therefore a lower expected return) than investors who have more tolerance for risk.

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Which is the best measure of risk for a single asset held in isolation, and which is the best measure for an asset held in a diversified portfolio?

(Multiple Choice)
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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?

(Multiple Choice)
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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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Which of the following is NOT a potential problem when estimating and using betas, i.e., which statement is FALSE?

(Multiple Choice)
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If investors are risk averse and hold only one stock, we can conclude that the required rate of return on a stock whose standard deviation is 0.21 will be greater than the required return on a stock whose standard deviation is 0.10. However, if stocks are held in portfolios, it is possible that the required return could be higher on the stock with the low standard deviation.

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Suppose you hold a portfolio consisting of a $10,000 investment in each of 8 different common stocks. The portfolio's beta is 1.25. Now suppose you decided to sell one of your stocks that has a beta of 1.00 and to use the proceeds to buy a replacement stock with a beta of 1.35. What would the portfolio's new beta be?

(Multiple Choice)
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Mike Flannery holds the following portfolio: Mike Flannery holds the following portfolio:    the portfolio's beta? the portfolio's beta?

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Assume that your uncle holds just one stock, East Coast Bank (ECB), which he thinks has very little risk. You agree that the stock is relatively safe, but you want to demonstrate that his risk would be even lower if he were more diversified. You obtain the following returns data for West Coast Bank (WCB). Both banks have had less variability than most other stocks over the past 5 years. Measured by the standard deviation of returns, by how much would your uncle's risk have been reduced if he had held a portfolio consisting of 60% in ECB and the remainder in WCB? (Hint: Use the sample standard deviation formula.) Assume that your uncle holds just one stock, East Coast Bank (ECB), which he thinks has very little risk. You agree that the stock is relatively safe, but you want to demonstrate that his risk would be even lower if he were more diversified. You obtain the following returns data for West Coast Bank (WCB). Both banks have had less variability than most other stocks over the past 5 years. Measured by the standard deviation of returns, by how much would your uncle's risk have been reduced if he had held a portfolio consisting of 60% in ECB and the remainder in WCB? (Hint: Use the sample standard deviation formula.)

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

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A stock's beta is more relevant as a measure of risk to an investor who holds only one stock than to an investor who holds a well-diversified portfolio.

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Which of the following statements is CORRECT?

(Multiple Choice)
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Moerdyk Company's stock has a beta of 1.40, the risk-free rate is 4.25%, and the market risk premium is 5.50%. What is the firm's required rate of return?

(Multiple Choice)
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Which of the following statements is CORRECT? (Assume that the risk- free rate is a constant.)

(Multiple Choice)
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Calculate the required rate of return for Climax Inc., assuming that (1) investors expect a 4.0% rate of inflation in the future, (2) the real risk-free rate is 3.0%, (3) the market risk premium is 5.0%, (4) the firm has a beta of 1.00, and (5) its realized rate of return has averaged 15.0% over the last 5 years.

(Multiple Choice)
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