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Suppose you own one up-and-out barrier put option and one up-and-in barrier put option, both with the same maturity time, barrier and strike price, and

Suppose you own one up-and-out barrier put option and one up-and-in barrier put option, both with the same maturity time, barrier and strike price, and written on the same stock. What is your payoff at maturity time T? Explain your answer.

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