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5. You are given the following information for a two-step binomial tree model for a given stock: The current price of the stock S =

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5. You are given the following information for a two-step binomial tree model for a given stock: The current price of the stock S = $100 Each time step in the tree is one year During each time step the stock price either rises to S xu or falls to S x d, where u= eto d=e- The volatility o = ln(2) The stock pays no dividends The continuously compounded annual risk-free interest rate r = ln(2) Using the binomial options pricing model, now compute the value of a 2-year American put option on this stock with strike price $409. Please round your answer to the nearest hundredth (round to 2 decimal places)

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