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Suppose the following are the estimated rates of return on a proposed investment X, given the probability of occurrence (p) for the five possible states

Suppose the following are the estimated rates of return on a proposed investment X, given the probability of occurrence (p) for the five possible states of the economy. Very poor economy: p = 0.2, the estimated Rate of return if this state occurs is -10%; Poor economy: p =0.2, Rate of return =0%; Average: p=0.4, Rate of return = 10%; Good: p=0.15, Rate of return=20%; and finally, Very good: p=0.05, Rate of return=25%. What is the correlation of variation for the investment X?

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