Question
Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.2 (8%) (32%) 0.1 3 0 0.1 11 18
Stocks A and B have the following probability distributions of expected future returns:
Probability | A | B |
0.2 | (8%) | (32%) |
0.1 | 3 | 0 |
0.1 | 11 | 18 |
0.2 | 19 | 25 |
0.4 | 37 | 46 |
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Calculate the expected rate of return, , for Stock B ( = 18.40%.) Do not round intermediate calculations. Round your answer to two decimal places. ______ %
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Calculate the standard deviation of expected returns, A, for Stock A (B = 29.24%.) 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?
- 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.
- 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.
- 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.
- 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.
- 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.
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Assume the risk-free rate is 3.5%. 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?
- 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.
- 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.
- 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.
- 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.
- 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
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