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There are two assets and three states of the economy: State of Economy Probability of State of Economy Rate of Return If State Occurs Stock

There are two assets and three states of the economy:

State of Economy Probability of State of Economy Rate of Return If State Occurs
Stock A Stock B
Recession .30 -.20 .10
Normal .50 .40 .30
Boom .20 .80 .50

Suppose you have $20,000 total. If you put $15,000 in Stock A and the remainder in Stock B, what will be the standard deviation of your portfolio? (Keep 2 post decimal digits in your final answer)

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