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You have acquired the following information about two stocks A and B: State of Economy Probability Stock A Return Stock B Return Boom 0.2 15%

You have acquired the following information about two stocks A and B:

State of Economy Probability Stock A Return Stock B Return
Boom 0.2 15% 30%
Recession 0.5 -10% -25%
Normal 0.3 5% 10%

If you can invest in two stocks A and B, determine the standard deviation of the portfolio that has a 5% expected return.

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