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You recently purchased a stock that is expected to earn 12 percent in a booming economy, 6.5 percent in a normal economy, and lose 1.5

You recently purchased a stock that is expected to earn 12 percent in a booming economy, 6.5 percent in a normal economy, and lose 1.5 percent in a recessionary economy. The probability of a booming economy is 14 percent while the probability of a normal economy is 65 percent. What is your expected rate of return on this stock?

Can someone help me solve this without using excel. Thank you.

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