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Current stock price is $50; volatility is 40%; risk-free rate is 5%. We have an American style put option expires in 6 months. Its strike

Current stock price is $50; volatility is 40%; risk-free rate is 5%. We have an American style put option expires in 6 months. Its strike price is the maximum price over the life of the option; this means: its payoff in 6 months is max(0, Smax ST). No dividend payments during the 6 months. Use a 2-step CRR binomial model to price this option.

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