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Bibliographic Details
Main Authors: Lepinette, Emmanuel, Omrani, Amal
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.02419
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Table of Contents:
  • We propose a constructive framework for the super-hedging problem of a European contingent claim under proportional transaction costs in discrete time. Our main contribution is an explicit recursive scheme that computes both the super-hedging price and the corresponding optimal strategy without relying on martingale arguments. The method is based on convex duality and a distorted Legendre--Fenchel transform, ensuring both tractability and convexity of the value functions. A numerical implementation on real market data illustrates the practical relevance of the proposed approach.