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Let Pe(t) denote the price at time t of a vanilla European put option written on a non-dividend-paying stock. The strike price of the option

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Let Pe(t) denote the price at time t of a vanilla European put option written on a non-dividend-paying stock. The strike price of the option is K and the maturity is T >t. The risk-free interest rate is r with continuously compounding. Please use no-arbitrate argument to show that Pet)

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