Consider assets (A_{1}) and (A_{2}), whose holding period returns (R_{1}) and (R_{2}), in five possible scenarios, are

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Consider assets \(A_{1}\) and \(A_{2}\), whose holding period returns \(R_{1}\) and \(R_{2}\), in five possible scenarios, are given in the following table:

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Note that the probabilities are not equal, and that returns are not given as a percentage (if you prefer, you might also write, e.g, \(R_{1}\left({ }_{1}\right)=3 \%\) ). Find the expected value and the standard deviation of the returns of the two assets, as well as their (Pearson) coefficient of correlation.

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