As treasurer of Sigma Corp. (a U.S. exporter to Australia), you must decide how to hedge (if at all) future receivables of 250,000 Australian dollars 90 days from now. Put options are available for a premium of $.03 per unit and an exercise price of $.70 per Australian dollar. The forecasted spot rate of the A$ in 90 days follows: With the probability of 30%, future spot rate is $0.74 With the probability of 50%, future spot rate is $0.69 With the probability of 20%, future spot rate is $0.65 Given that you hedge your position with options, create a probability distribution for U.S. dollars to be received in 90 days.