Stocks A and B have the following probability distributions of expected future returns Probability A B 0 1 (5 ) (21 ) 0 2 3 0 0 5 13 23 0 1 20 29 0 1 31 46 Calculate the expected rate of return, , for Stock B ( 11 70 ) Do not round intermediate calculations Round your answer to two decimal places Calculate the standard deviation of expected returns, A , for Stock A ( B 17 85 ) 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 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 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 Select IIIIIIIVVItem 4 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 four 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 lower beta than Stock A, and hence be less 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 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

The Answer is in the image, click to view ...

Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on Jul 26, 2024

Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.1 (5 %) (21 %) 0.2 3 0 0.5

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

Probability	A		B
0.1	(5	%)	(21	%)
0.2	3		0
0.5	13		23
0.1	20		29
0.1	31		46

Calculate the expected rate of return, , for Stock B ( = 11.70%.) Do not round intermediate calculations. Round your answer to two decimal places.
%
Calculate the standard deviation of expected returns, _A, for Stock A (_B = 17.85%.) 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?
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 just as risky in a portfolio sense.
2. 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.
3. 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.
4. 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.
5. 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.
-Select-IIIIIIIVVItem 4
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 four decimal places.

Stock A:

Stock B:

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 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.
2. 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.
3. 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.
4. 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.
5. 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.