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An investor has two stocks in her portfolio: Apple and Banana. The weights are 30% for Apple and 70% for Banana. There are three possible economic states in the future, and the stock returns in these states are shown below. The risk-free rate is 1% and the expected market return is 8%. Please calculate the Sharpe ratios for Apple, Banana and the portfolio.
Probability
Apple
Banana
State 1
0.25
12%
20%
State 2
0.5
7%
5%
State 3
1%
-10%
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