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Stock S is expected to return 12 percent in a boom, 9 percent in a normal economy, and 2 percent in a recession. Stock T

Stock S is expected to return 12 percent in a boom, 9 percent in a normal economy, and 2 percent in a recession. Stock T is expected to return 4 percent in a boom, 6 percent in a normal economy, and 9 percent in a recession. There is a 10 percent probability of a boom and a 25 percent probability of a recession. What is the standard deviation of a portfolio which is comprised of $4,500 of Stock S and $3,000 of Stock T?

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