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VALUATION OF BARRIER OPTIONS VIA A GENERAL SELF‐DUALITY
Authors:Elisa Alòs  Zhanyu Chen  Thorsten Rheinländer
Affiliation:1. Universidad Pompeu Fabra;2. London School of Economics;3. Vienna University of Technology
Abstract:Classical put–call symmetry relates the price of puts and calls under a suitable dual market transform. One well‐known application is the semistatic hedging of path‐dependent barrier options with European options. This, however, in its classical form requires the price process to observe rather stringent and unrealistic symmetry properties. In this paper, we develop a general self‐duality theorem to develop valuation schemes for barrier options in stochastic volatility models with correlation.
Keywords:put–  call symmetry  self‐duality  barrier options  stochastic volatility models  Malliavin calculus
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