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### How to show the Bermudan put option is convex in strike price?

Is there a way to generalise the arbitrage argument for a European put being convex in strike price to the Bermudan option? (i.e. considering two portfolios, showing one has greater value than the ...
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### Is Touching the same thing as At The Money?

Zvi Bodie, Alex Kane, Alan J. Marcus's Investments (2018 11 edn). p 659.       An option is described as in the money when its exercise would produce a positive cash flow. ...

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