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Robust Static Super-Replication of Barrier Options
Buch von Jan H. Maruhn
Sprache: Englisch

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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.
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.
Über den Autor
Jan H. Maruhn, UniCredit Markets & Investment Banking, Munich, Germany.
Zusammenfassung
Exklusives Verkaufsrecht für: Gesamte Welt.
Details
Empfohlen (bis): 22
Empfohlen (von): 22
Erscheinungsjahr: 2009
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: ISSN
Inhalt: XII
197 S.
Figs. and tabs.
ISBN-13: 9783110204681
ISBN-10: 3110204681
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Maruhn, Jan H.
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
ISSN
Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com
Maße: 246 x 175 x 18 mm
Von/Mit: Jan H. Maruhn
Erscheinungsdatum: 15.07.2009
Gewicht: 0,547 kg
Artikel-ID: 101561746
Über den Autor
Jan H. Maruhn, UniCredit Markets & Investment Banking, Munich, Germany.
Zusammenfassung
Exklusives Verkaufsrecht für: Gesamte Welt.
Details
Empfohlen (bis): 22
Empfohlen (von): 22
Erscheinungsjahr: 2009
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: ISSN
Inhalt: XII
197 S.
Figs. and tabs.
ISBN-13: 9783110204681
ISBN-10: 3110204681
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Maruhn, Jan H.
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
ISSN
Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com
Maße: 246 x 175 x 18 mm
Von/Mit: Jan H. Maruhn
Erscheinungsdatum: 15.07.2009
Gewicht: 0,547 kg
Artikel-ID: 101561746
Sicherheitshinweis