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Stocks A and B have the following probability distributions of expected future returns: A B (31%) (14%) 2 0 Probability 0.1 0.1 0.5 0.2 0.1

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Stocks A and B have the following probability distributions of expected future returns: A B (31%) (14%) 2 0 Probability 0.1 0.1 0.5 0.2 0.1 11 22 37 20 25 41 a. Calculate the expected rate of return, 1B, for Stock B (A - 12.40%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, on for Stock A (-18.25%.) Do not round intermediate calculations, Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? 1. If Stock B is more highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be less risky in a portfolio sense. 11. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. III. I Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense. IV. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. V. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. C. Assume the risk-free rate is 2.5%. What are the Sharpe ratios for Stocks A and B) Do not round intermediate calculations. Round your answers to four decimal places. Stock A: Stock B Are these calculations consistent with the information obtained from the coefficient of variation calculations in Part b? 1. In a stand-alone risk sense A is less risky than B. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. II. In a stand-alone risk sense A is more risky than B. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. III. In a stand-alone risk sense A is more risky than B. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. Are these calculations consistent with the information obtained from the coefficient of variation calculations in Part b? 1. In a stand-alone risk sense A is less risky than B. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. 11. In a stand-alone risk sense A is more risky than B. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. III. In a stand-alone risk sense A is more risky than B. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. IV. In a stand-alone risk sense A is less risky than B. If Stock B is more highly correlated with the market than A, then it might h e same beta as Stock A, and hence be just as risky in a portfolio sense. V. In a stand-alone risk sense A is less risky than B. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. Select- TV

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