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.
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
Problem 1PS
Related questions
Question
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf434c73-38f1-4a89-b981-edd99d760c82%2F8597db7c-09b0-4925-96e6-3c5fa2546a88%2Fu972cb3_processed.png&w=3840&q=75)
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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