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Floating exercise boundaries for American options in time-inhomogeneous models

Andrey Itkin and Yerkin Kitapbayev

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Abstract: This paper examines a semi-analytical approach for pricing American options in time-inhomogeneous models characterized by negative interest rates (for equity, FX) or negative convenience yields (for commodities, cryptocurrencies). Under such conditions, exercise boundaries may exhibit a "floating" structure - dynamically appearing and disappearing. For example, a second exercise boundary could emerge within the computational domain and subsequently both could collapse, demanding specialized pricing methodologies.

Date: 2025-02
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