Valuation of Barrier Options Via a General Self-Duality

Authors: Elisa Alòs and Zhanyu Chen

Mathematical Finance, Vol. 26, No 3, 492-515, July, 2016

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.