question archive Consider two different stocks, X and Y, with expected returns ?X = 17

Consider two different stocks, X and Y, with expected returns ?X = 17

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Consider two different stocks, X and Y, with expected returns ?X = 17.0% and ?Y = 14.9% and with standard deviations ?X = 12.4% and ?Y = 10.0% for those returns. The two assets have a correlation, p?, of -0.7. 

a. What is the covariance of the returns of stocks X and Y? (Hint: use the definition of the population correlation ? to compute the covariance) In general, will constructing a portfolio from these two stocks reduce or increase the risk compared to the individual stocks? Briefly explain. 

 

b. What is the expected return and standard deviation of a portfolio made up of stocks X and Y which is 20% stock X (the remainder stock Y)? 

c. What is the expected return and standard deviation of a portfolio made up of stocks X and Y which is 50% stock X? 

d. What is the expected return and standard deviation of a portfolio made up of stocks X and Y which is 80% stock X? e. Which of the portfolios above, either (b), (c), or (d), offers the best combination of risk and return? Briefly explain. 

 

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