Synopses & Reviews
This book presents hedging strategies for a class of financial options. The emphasis is on theoretical and numerical aspects, i.e., the consideration of appropriate existence, duality and convergence results. The mathematical techniques range from financial mathematics, stochastic and semi-infinite optimization, convex analysis, partial differential equations to semi-definite optimization.
Synopsis
Static hedge portfolios for barrier options are very sensitive with respect to changes of the volatility surface. To prevent potentially significant hedging losses this book develops a static super-replication strategy with market-typical robustness against volatility, skew and liquidity risk as well as model errors. Combined with associated sub-replication strategies this leads to empirically robust price bounds for barrier options which are also relevant in the context of dynamic hedging.