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8. A stock has an annual return of 15 percent and a standard deviation of 58 percent. What is the smallest expected gain over the

8. A stock has an annual return of 15 percent and a standard deviation of 58 percent. What is the smallest expected gain over the next year with a probability of 2.5 percent?

9. Consider the following information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is .97.

Year Fund Market Risk-Free
2008 -18.20% -35.5% 2%
2009 25.1 20.6 5
2010 13.5 12.7 2
2011 6.8 8.4 6
2012 -1.86 -4.2 3

What are the Sharpe and Treynor ratios for the fund?

Sharpe
Treynor

10. Consider the following information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is .95.

Year Fund Market Risk-Free
2008 -19.40% -37.5% 1%
2009 25.1 20.8 4
2010 13.7 13.3 2
2011 7.2 8.4 6
2012 -1.98 -4.2 2

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