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Suppose that there are two possible states of the world next year: boom or recession. Suppose that we forecast the following probabilities of these states

Suppose that there are two possible states of the world next year: boom or recession. Suppose that we forecast the following probabilities of these states and the returns to two US stocks, CXW (Corrections Corp of America; a prison stock) and AMR (parent of American Airlines). Tell the expected return to a portfolio invested 20% in CXW, and 80% in AMR. Please give your answer to four decimal places.

STATE Prob. R(CXW) R(AMR)
Boom 0.75 -0.1 0.25
Recession 0.25 0.1 -0.25

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