Floating exercise boundaries for American options in time-inhomogeneous models

Fuente: arXiv
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Auteurs principaux: Itkin, Andrey, Kitapbayev, Yerkin
Format: Preprint
Publié: 2025
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author Itkin, Andrey
Kitapbayev, Yerkin
author_facet Itkin, Andrey
Kitapbayev, Yerkin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_00740
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Floating exercise boundaries for American options in time-inhomogeneous models
Itkin, Andrey
Kitapbayev, Yerkin
Pricing of Securities
Computational Finance
Mathematical Finance
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.
title Floating exercise boundaries for American options in time-inhomogeneous models
topic Pricing of Securities
Computational Finance
Mathematical Finance
url https://arxiv.org/abs/2502.00740