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A stock price is currently $ 3 0 . During each 2 - month period for the next 4 months it will increase by 8

A stock price is currently $30. During each 2-month period for the next
4 months it will 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 4 months. If
the derivative is American-style, should it be exercised early?

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