Probability 0.1 - 0.1 0.5 0.2 0.1 A (11%) 6 13 20 38 a. Calculate the expected rate of return, FB, for Stock B (FA 13.80 %.) Do not round intermediate calculations. Round your answer to two decimal places. % B (34%) 0 24 30 44 -Select- b. Calculate the standard deviation of expected returns, OA, for Stock A (OB 20.40%.) 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? I. 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. 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. 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. IV. 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. V. 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- c. Assume the risk-free rate is 1.5%. 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? I. 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. 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 have the 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.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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**Probability Distribution of Expected Future Returns for Stocks A and B**

Stocks A and B have the following probability distributions of expected future returns:

| Probability | A (%)  | B (%)  |
|-------------|--------|--------|
| 0.1         | -11    | -34    |
| 0.1         | 6      | 0      |
| 0.5         | 13     | 24     |
| 0.2         | 20     | 30     |
| 0.1         | 38     | 44     |

**Tasks:**

**a. Calculate the expected rate of return, \( \hat{r}_B \), for Stock B (\( \hat{r}_A = 13.80\% \)).**  
Do not round intermediate calculations. Round your answer to two decimal places.

*Stock B Expected Return: __________%*

**b. Calculate the standard deviation of expected returns, \( \sigma_A \), for Stock A (\( \sigma_B = 20.40\% \)).**  
Do not round intermediate calculations. Round your answer to two decimal places.

*Stock A Standard Deviation: __________%*

Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places.

*Coefficient of Variation for Stock B: __________*

**Risk Comparison:**

Is it possible that most investors might regard Stock B as being less risky than Stock A?

I. 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. 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. 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.
IV. 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.
V. 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 the correct statement from the dropdown list]*

**c.
Transcribed Image Text:**Probability Distribution of Expected Future Returns for Stocks A and B** Stocks A and B have the following probability distributions of expected future returns: | Probability | A (%) | B (%) | |-------------|--------|--------| | 0.1 | -11 | -34 | | 0.1 | 6 | 0 | | 0.5 | 13 | 24 | | 0.2 | 20 | 30 | | 0.1 | 38 | 44 | **Tasks:** **a. Calculate the expected rate of return, \( \hat{r}_B \), for Stock B (\( \hat{r}_A = 13.80\% \)).** Do not round intermediate calculations. Round your answer to two decimal places. *Stock B Expected Return: __________%* **b. Calculate the standard deviation of expected returns, \( \sigma_A \), for Stock A (\( \sigma_B = 20.40\% \)).** Do not round intermediate calculations. Round your answer to two decimal places. *Stock A Standard Deviation: __________%* Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. *Coefficient of Variation for Stock B: __________* **Risk Comparison:** Is it possible that most investors might regard Stock B as being less risky than Stock A? I. 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. 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. 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. IV. 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. V. 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 the correct statement from the dropdown list]* **c.
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