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Robust Static Super-Replication of Barrier Options

Radon Series on Computational and Applied Mathematics 7

Erschienen am 15.07.2009, 1. Auflage 2009
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Bibliografische Daten
ISBN/EAN: 9783110204681
Sprache: Englisch
Umfang: XII, 197 S., Figs. and tabs.
Einband: gebundenes Buch

Beschreibung

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. Empirical results and various numerical examples confirm that the static superhedge successfully eliminates the risk of a changing volatility surface. Combined with associated sub-replication strategies this leads to robust price bounds for barrier options which are also relevant in the context of dynamic hedging. The mathematical techniques used to prove appropriate existence, duality and convergence results range from financial mathematics, stochastic and semi-infinite optimization, convex analysis and partial differential equations to semidefinite programming.

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Hersteller:
Walter de Gruyter GmbH
De Gruyter GmbH
productsafety@degruyterbrill.com
Genthiner Strasse 13
DE 10785 Berlin


Autorenportrait

Jan H. Maruhn, UniCredit Markets & Investment Banking, Munich, Germany.

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