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

Probability A B

$0\mathrm{.}1(15\%)(39\%)$

$0\mathrm{.}150$

$0\mathrm{.}61424$

$0\mathrm{.}12129$

$0\mathrm{.}12849$

Calculate the expected rate of return, $,$ for Stock B $(=12\mathrm{.}30\%.)$ Do not round intermediate calculations. Round your answer to two decimal places.

Calculate the standard deviation of expected returns, $\backslash$sigma A$,$ for Stock A $(\backslash$sigma B $=22\mathrm{.}07\%.)$ 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$?$ Pick from the following list.

$1.$ 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.

Assume the risk$-$free rate is $1\mathrm{.}5\%.$ 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$?$ Pick from the following list.

$1.$ 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.