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Consider the returns for the following stocks. Year Loser Inc Winning Inc 2010 -5 55 2011 15 25 2012 20 25 2013 35 12 2014

Consider the returns for the following stocks.

Year Loser Inc Winning Inc
2010

-5

55
2011 15 25
2012 20 25
2013 35 12
2014 45 -7

7a.Calculate (by hand) the mean and standard deviation of each stock. If you are rational and risk-averse, which stock would you choose if you were choosing only one? (10 points). Why?? Show your work!

b.Calculate (by hand) the mean, variance and standard deviation of a portfolio consisting of 50% Loser and 50% Winning-Is-Us.

c.The standard deviation of the portfolio should be lower than the average standard deviations. Why? Which statistic drives this phenomenon? (10 points.) Bonus: Whats the specific, quantifiable benefit of holding these two stocks

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