Risk-Neutral Pricing of Random-Expiry Options Using Trinomial Trees

Fuente: arXiv
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Hauptverfasser: Bossu, Sebastien, Grabchak, Michael
Format: Preprint
Veröffentlicht: 2025
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author Bossu, Sebastien
Grabchak, Michael
author_facet Bossu, Sebastien
Grabchak, Michael
contents Random-expiry options are nontraditional derivative contracts that may expire early based on a random event. We develop a methodology for pricing these options using a trinomial tree, where the middle path is interpreted as early expiry. We establish that this approach is free of arbitrage, derive its continuous-time limit, and show how it may be implemented numerically in an efficient manner.
format Preprint
id arxiv_https___arxiv_org_abs_2508_17014
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Risk-Neutral Pricing of Random-Expiry Options Using Trinomial Trees
Bossu, Sebastien
Grabchak, Michael
Pricing of Securities
Computational Finance
91G20, 91G60, 60J65, 60F05
Random-expiry options are nontraditional derivative contracts that may expire early based on a random event. We develop a methodology for pricing these options using a trinomial tree, where the middle path is interpreted as early expiry. We establish that this approach is free of arbitrage, derive its continuous-time limit, and show how it may be implemented numerically in an efficient manner.
title Risk-Neutral Pricing of Random-Expiry Options Using Trinomial Trees
topic Pricing of Securities
Computational Finance
91G20, 91G60, 60J65, 60F05
url https://arxiv.org/abs/2508.17014