Approximate Hedging in a Local Volatility Model with Proportional Transaction Costs
Emmanuel Lépinette and
Tuan Tran
Applied Mathematical Finance, 2014, vol. 21, issue 4, 313-341
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.
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:taf:apmtfi:v:21:y:2014:i:4:p:313-341
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DOI: 10.1080/1350486X.2013.871802
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