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A non-dividend paying stock is currently trading at $100. At the end of each month, the price will go up by 15% or down by

A non-dividend paying stock is currently trading at $100. At the end of each month, the price will go up by 15% or down by 10%. The continuously-compounded risk-free rate is 6%. Use the binomial model to find, to three significant number, the price of a two-month option with payoff function

(S1 + S2)/2 - min {S0, S1, S2}

where S0 is the initial stock price, S1 is the stock price at the end of one month and S2 is the stock price at the end of two months.

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