Economy probability | Statistics homework help

Suppose  that the percentage annual return you obtain when you invest a dollar  in gold or the stock market is dependent on the general state of the  national economy as indicated below. For example, the probability that  the economy will be in “boom” state is 0.15. In this case, if you invest  in the stock market your return is assumed to be 25%; on the other hand  if you invest in gold when the economy is in a “boom” state your return  will be minus 30%. Likewise for the other possible states of the  economy. Note that the sum of the probabilities has to be 1–and is.

State of economy Probability Market Return Gold Return

Boom 0.15 25% (-30%)

Moderate Growth 0.35 20% (-9%)

Week Growth 0.25 5% 35%

No Growth 0.25 (-14%) 50%

Based on the expected return, would you rather invest your money in the stock market or in gold? Why?

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