In: Finance
Stocks A and B each have an expected return of 15%, a standard deviation of 20%, and a beta of 1.2. The returns on the two stocks have a correlation coefficient of -1.0. You have a portfolio that consists of 50% A and 50% B. Which of the following statements is CORRECT?
The portfolio's standard deviation is zero (i.e., a riskless portfolio). |
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The portfolio's standard deviation is greater than 20%. |
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The portfolio's expected return is less than 15%. |
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The portfolio's beta is less than 1.2. |
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The portfolio's beta is greater than 1.2. |
Answer is The portfolio's standard deviation is zero (i.e., a riskless portfolio)
Explanation:
The portfolio's standard deviation is zero (i.e., a riskless portfolio) is correct. We calculate the standard deviation of the portfolio.
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The portfolio's standard deviation is greater than 1.2 is incorrect. The standard deviation of the portfolio is zero.
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The portfolio's expected return is less than 15% is incorrect. The calculation is as follows
or 15%
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The portfolio's beta is less than 1.2 is incorrect. The calculation is as follows
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The portfolio's beta is greater than 1.2 is incorrect. The calculation is as follows