Stocks A and B have the following probability distributions of expected future returns: Probability 0.2 0.3 0.2 (14%) B (37%) 0 24 30 40 0.1 0.2 10 20 40 a. Calculate the expected rate of return, 7B, for Stock B (A = 9.80%.) Do not round intermediate calculations. Round your answer to two decimal pla % b. Calculate the standard deviation of expected returns, CA, for Stock A (On - 26.99%.) Do not round intermediate calculations. Round your answer to two decimal places. Now calculate the coefficient of variation for Stock B. 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 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. 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. III. 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. IV. If 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. V. 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 c. Assume the risk-free rate is 2.0%. What are the Sharpe ratios for Stocks A and B? Do not round intermediate calculations. Round your answers to two 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 lower beta than Stock A, and hence be less risky in a portfolio sense. II. 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. 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 lower beta than Stock A, and hence be less risky in a portfolio sense. IV. 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. V. 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 have the same beta as Stock A, and hence be just as risky in a portfolio sense. -Select- stock has a required return of 7%, the risk-free rate is 2.5%, and the market risk premium is 4%. a. What is the stock's beta? Round your answer to two decimal places. b. If the market risk premium increased to 7%, what would happen to the stock's required rate of return? Assume that the risk-free rate and the beta remain unchanged. Do not round intermediate calculations. Round your answer to two decimal places. 1. If the stock's beta is less than 1.0, then the change in required rate of return will be greater than the change in the market risk premium. II. If the stock's beta is greater than 1.0, then the change in required rate of return will be less than the change in the market risk premium. III. If the stock's beta is equal to 1.0, then the change in required rate of return will be greater than the change in the market risk premium IV. If the stock's beta is equal to 1.0, then the change in required rate of return will be less than the change in the market risk premium. V. If the stock's beta is greater than 1.0, then the change in required rate of return will be greater than the change in the market risk premiu -Select- New stock's required rate of return will be
