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Approximate Hedging in a Local Volatility Model with Proportional Transaction Costs

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  • Emmanuel Lépinette
  • Tuan Tran

Abstract

Local volatility models are popular as they can be calibrated to the market of European options by the simple Dupire formula. For such a model, we propose a modified Leland method which allows to approximately replicate a European contingent claim when the market is under proportional transaction costs. The convergence of the scheme is shown by means of a new strategy of proof based on partial differential equations (PDEs) techniques allowing us to obtain appropriate Greek estimations.

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  • Emmanuel Lépinette & Tuan Tran, 2014. "Approximate Hedging in a Local Volatility Model with Proportional Transaction Costs," Applied Mathematical Finance, Taylor & Francis Journals, vol. 21(4), pages 313-341, September.
    • Handle: RePEc:taf:apmtfi:v:21:y:2014:i:4:p:313-341
    DOI: 10.1080/1350486X.2013.871802
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    Cited by:

    1. Julien Baptiste & Laurence Carassus & Emmanuel L'epinette, 2018. "Pricing without martingale measure," Papers 1807.04612, arXiv.org, revised May 2019.
    2. Serguei Pergamenchtchikov & Alena Shishkova, 2020. "Hedging problems for Asian options with transactions costs," Papers 2001.01443, arXiv.org.

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