question archive Consider two different stocks, A and B, with expected returns A = 17

Consider two different stocks, A and B, with expected returns A = 17

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

  1. What is the covariance of the returns of stocks A and B? (use the population correlation to compute the covariance) Generally, will constructing a portfolio from these two stocks reduce or increase the risk compared to the individual stocks?
  2. What is the expected return and standard deviation of a portfolio made up of stocks A and B which is 20% stock A (the remainder stock B)? 
  3. What is the expected return and standard deviation of a portfolio made up of stocks A and B which is 50% stock A?
  4. What is the expected return and standard deviation of a portfolio made up of stocks A and B which is 80% stock A?
  5. Which of the portfolios above, either 2, 3, 4, offers the best combination of risk and return?

 

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