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You have invested $2000 in X, with a standard deviation of 0.25 and $8000 in Y with a standard deviation of 0.

You have invested $2000 in X, with a standard deviation of 0.25 and $8000 in Y with a standard deviation of 0.15. What is the standard deviation of your portfolio if the correlation coefficient (rho) between X and Y is 0.4?

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