Question
Jane has been oered a choice between two portfolios of nancial assets. Each portfolio is made up of shares in only two companies. The rst
Jane has been oered a choice between two portfolios of nancial assets. Each portfolio is made up of shares in only two companies. The rst portfolio consists of shares in company A and company B, both weighted equally. The second portfolio consists of shares in company C and company D, both weighted equally. Jane is told that the expected value of the returns of the two portfolios is exactly the same. So the choice between the two portfolios will depend solely upon whether one is more risky than the other. Jane has been told that the variance of returns for company A is the same as that for company C and that the variance of returns 1For example, the ticker symbol for the Apple stock is "AAPL". 2 for company B is the same as that for company D. Jane has also been told that returns for company A and for company B are perfectly and negatively correlated (AB = 1 in this case) while the returns for company C and for company D are perfectly and positively correlated (CD = 1 in this case). If Jane is risk averse, is it possible to tell which portfolio will she choose? Why or why not
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