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

Pricing of Securities 2025-08-26 v1 Computational Finance

Abstract

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.

Keywords

Cite

@article{arxiv.2508.17014,
  title  = {Risk-Neutral Pricing of Random-Expiry Options Using Trinomial Trees},
  author = {Sebastien Bossu and Michael Grabchak},
  journal= {arXiv preprint arXiv:2508.17014},
  year   = {2025}
}

Comments

25 pages

R2 v1 2026-07-01T05:02:50.743Z