Stocks A and B have the following probability distributions of expected future returns: Probability 0.1 0.2 0.5 0.1 0.1 A (5%) 2 14 24 39 Stock B (40%) 0 24 30 42 a. Calculate the expected rate of return, Fa, for Stock B (A-13.20%.) Do not round intermediate calculations. Round your answer to two decimal places. b. Calculate the standard deviation of expected returns, da, for Stock A (-21.99%) Do not round intermediate calculations. Round your answer to two decimal places. Now calculate the coefficient of variation for Stock 8. 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 1. 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 past as risky in a portfolio sense. 11. 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 portfolo sense. 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. IV. If Stock 8 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 portfullo sense. V. If stock 8 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 portfelie sense c. Assume the risk free rate is 3.5%, What are the Sharpe raties for Stocks A and 8? Do not round intermediate calculations. Round your answers to four decimal places Mock A 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 more nuky than 6. IF Stock 6 is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky on a portfolio a 11. In a stand-alone risk sense A is less risky than B. If Stock 8 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 a II. In a stand-alone risk sense A is less risky than B. If Stock less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less sky in a portudo sens Tv 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 portfulla sem V In a stand-alone risk sense A is more risky than B. If stock 8 is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less nsky in a portfule sen

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
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Stocks A and B have the following probability distributions of expected future returns:
Probability
0.1
0.2
0.5
0.1
0.1
A
(5%)
2
Stock B
14
24
39
(40%)
0
24
30
42
a. Calculate the expected rate of return, Fa, for Stock B (FA-13.20%) Do not round intermediate calculations. Round your answer to two decimal places.
b. Calculate the standard deviation of expected returns, da, for Stock A (de-21.99 %) Do not round intermediate calculations. Round your answer to two decimal places.
Now calculate the coefficient of variation for Stock 8. 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?
1. If Stock Bis 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.
11. 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 portfelo sense.
III. 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. 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 rieky in a portfolio sense.
V. 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
C. Assume the risk free rate is 3.5%, What are the Sharpe ratios for Stocks A and 8? Do not round intermediate calculations. Round your answers to four decimal places
Stock A
Are these calculations consistent with the information obtained from the coefficient of variation calculations in Part b
1. In a stand-alone nisk sense A is more niky than 6. If Stock 6 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
11 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 sene
III. In a stand-alone risk sense A is less risky than B. Ir Stock B is less Nighly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less maky in a portfula sense
tv In a stand-alone nisk sense A is less ricky 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 portfulla sense.
V In a stand-alone risk sense A is more risky than B. If Stock 8 is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less nsky in a portfula sense
Transcribed Image Text:Stocks A and B have the following probability distributions of expected future returns: Probability 0.1 0.2 0.5 0.1 0.1 A (5%) 2 Stock B 14 24 39 (40%) 0 24 30 42 a. Calculate the expected rate of return, Fa, for Stock B (FA-13.20%) Do not round intermediate calculations. Round your answer to two decimal places. b. Calculate the standard deviation of expected returns, da, for Stock A (de-21.99 %) Do not round intermediate calculations. Round your answer to two decimal places. Now calculate the coefficient of variation for Stock 8. 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? 1. If Stock Bis 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. 11. 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 portfelo sense. III. 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. 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 rieky in a portfolio sense. V. 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 C. Assume the risk free rate is 3.5%, What are the Sharpe ratios for Stocks A and 8? Do not round intermediate calculations. Round your answers to four decimal places Stock A Are these calculations consistent with the information obtained from the coefficient of variation calculations in Part b 1. In a stand-alone nisk sense A is more niky than 6. If Stock 6 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 11 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 sene III. In a stand-alone risk sense A is less risky than B. Ir Stock B is less Nighly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less maky in a portfula sense tv In a stand-alone nisk sense A is less ricky 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 portfulla sense. V In a stand-alone risk sense A is more risky than B. If Stock 8 is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less nsky in a portfula sense
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