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The stock price is currently $30. Each month for the next two months it is expected...

The stock price is currently $30. Each month for the next two months it is expected to increase by 8% or reduce by 10%. The risk-free interest rate is 5%. Use a two-step tree to calculate the value of a derivative that pays off [max(30 — St; 0)]2, where St is the stock price in two months?

If the derivative is American-style, should it be exercised early?

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