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A futures price is currently 40. It is expected to move up to 44 or down to 34 in the next six months. The risk-free

A futures price is currently 40. It is expected to move up to 44 or down to 34 in the next six months. The risk-free interest rate is 3%.(Show Work)

a. What is the probability of an up movement in a risk-neutral world?

b. What is the value of a six-month put option with a strike price of 37?

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