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Assume the risk-free bond B, and the (non-dividend paying) stock S, follow the dynamics of the Black & Scholes model (with interest rate r, stock

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Assume the risk-free bond B, and the (non-dividend paying) stock S, follow the dynamics of the Black & Scholes model (with interest rate r, stock drift and volatility o). (a) Consider the American binary option with maturity T and payoff at exercise time equal to i, if SK lo, if S.

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