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. % -Select- B (34%) 0 24 30 44 b. Calculate the standard deviation of expected returns, GA, for Stock A (08- 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. -Select- 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. 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 sens 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 sen 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 Distributions of Expected Future Returns for Stocks A and B

#### Probability Table

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

### Instructions

**a. Expected Rate of Return Calculation for Stock B (\( \hat{r}_B = 13.80\% \))**

- Calculate and insert the expected rate of return for Stock B.
- Do not round intermediate calculations.
- Round the final answer to two decimal places.

**Expected Rate for Stock B:** \_\_\_\_\_\_\_\%

**b. Standard Deviation of Expected Returns for Stock A (\( \sigma_A \)):**

- \( \sigma_B = 20.40\% \)

- Calculate and insert the standard deviation for Stock A.
- Do not round intermediate calculations.
- Round the final answer to two decimal places.

**Standard Deviation for Stock A:** \_\_\_\_\_\_\_\%

- Calculate the coefficient of variation for Stock B.
- Do not round intermediate calculations.
- Round the final answer to two decimal places.

**Coefficient of Variation for Stock B:** \_\_\_\_\_\_

**Investor Risk Assessment:**

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

1. If Stock B is less highly correlated with the market than A, it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
2. If Stock B is less highly correlated with the market than A, it might have a higher beta than Stock A, and hence be more risky in a portfolio sense.
3. If Stock B is more highly correlated with the market than A, it might have a higher beta than Stock A, and hence be less risky in a portfolio sense.
4. If Stock B is more highly correlated with the market than A, it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
5. If Stock B is more highly correlated with the market than A, it might have the same beta as Stock A
Transcribed Image Text:### Probability Distributions of Expected Future Returns for Stocks A and B #### Probability Table | Probability | A (%) | B (%) | |-------------|-------|--------| | 0.1 | -11 | -34 | | 0.1 | 6 | 0 | | 0.5 | 13 | 24 | | 0.2 | 30 | 30 | | 0.1 | 38 | 44 | ### Instructions **a. Expected Rate of Return Calculation for Stock B (\( \hat{r}_B = 13.80\% \))** - Calculate and insert the expected rate of return for Stock B. - Do not round intermediate calculations. - Round the final answer to two decimal places. **Expected Rate for Stock B:** \_\_\_\_\_\_\_\% **b. Standard Deviation of Expected Returns for Stock A (\( \sigma_A \)):** - \( \sigma_B = 20.40\% \) - Calculate and insert the standard deviation for Stock A. - Do not round intermediate calculations. - Round the final answer to two decimal places. **Standard Deviation for Stock A:** \_\_\_\_\_\_\_\% - Calculate the coefficient of variation for Stock B. - Do not round intermediate calculations. - Round the final answer to two decimal places. **Coefficient of Variation for Stock B:** \_\_\_\_\_\_ **Investor Risk Assessment:** Is it possible that most investors might regard Stock B as being less risky than Stock A? Choose one: 1. If Stock B is less highly correlated with the market than A, it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. 2. If Stock B is less highly correlated with the market than A, it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. 3. If Stock B is more highly correlated with the market than A, it might have a higher beta than Stock A, and hence be less risky in a portfolio sense. 4. If Stock B is more highly correlated with the market than A, it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. 5. If Stock B is more highly correlated with the market than A, it might have the same beta as Stock A
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