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Bibliographic Details
Main Authors: Armstrong, John, Das, Purba
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.08730
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Table of Contents:
  • We show how the robustness of gamma hedging can be understood without using rough-path theory. Instead, we use the concepts of $p^{th}$ variation along a partition sequence and Taylor's theorem directly, rather than defining an integral and proving a version of Itô's lemma. The same approach allows classical results on delta-hedging to be proved without defining an integral and without the need to define the concept of self-financing in continuous time. We show that the approach can also be applied to barrier options and Asian options