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Practice calculation about portfolio
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Question 1 An analyst estimates the following joint probability function of returns for two assets, X and Y, under three scenarios: Based only on this information, the covariance of returns of the two assets is closest to: A. −1. B. 0. C. 6. Question 2 An analyst estimates a joint probability function of two assets' returns during good, average, and poor business conditions: The covariance of returns is closest to: A. 9. B. 10. C. 20. Question 3 All else equal, if a portfolio consists of two stocks, the portfolio will have the least risk if the correlation between the two stocks is: A. less than zero. B. equal to zero. C. greater than zero. Question 4 A portfolio manager gathers the following information about a portfolio:
If the benchmark has an expected return of 6% and standard deviation of 12.5%, based on only this information, the portfolio's risk is most likely : A. less than the benchmark's. B. the same as the benchmark's. C. more than the benchmark's. Question 5 An investor has a safety-first optimal portfolio of €40 million with an expected annual return of 15% and a standard deviation of 17%. The investor plans to withdraw €1 million in one year without reducing the initial principal (assume that the initial principal is €40 million). The probability that the investor's actual return will fall below the shortfall level is closest to: A. 16.60% B. 22.96% C. 77.04% Question 6 An investor invests €1,000,000 today and plans to withdraw €50,000 one year from today. None of the withdrawal can be from principal. An advisor recommends three different portfolio allocations: The optimal allocation, according to Roy's safety-first criterion, has a safety-first ratio closest to: A. 0. B. 0. C. 0.