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An investor is considering a portfolio mix of 70% of stock A and 30% of Stock B. Stock A's returns are expected to be 20%,

An investor is considering a portfolio mix of 70% of stock A and 30% of Stock B. Stock A's returns are expected to be 20%, 10% and 8% in good, average and bad economies respectively. Stock B's returns are expected to be 25%, 2% and (15%) in good, average and economies respectively. The probability of a good economy is expected to be 60%, while the average and bad economies have a 20% chance of occurrence. Given this information, calculate the standard deviation of the portfolio.

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