Robust Static Super-Replication of Barrier Options

Language: English

Published by De Gruyter, DE, 2009

3110204681 / 9783110204681

Series: Book 2 of 28 - Radon Series on Computational and Applied Mathematics

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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.

Seller Inventory # LU-9783110204681

Title
Robust Static Super-Replication of Barrier Options
Author
Jan H. Maruhn
Publisher
De Gruyter, DE
Publication year
2009
Condition
New
Binding
Hardback
Language
English
ISBN 10
3110204681
ISBN 13
9783110204681
Edition
1st.
Item weight
543 grams
Dimensions
7 x 0.5 x 10 inches
Series
Book 2 of 28: Radon Series on Computational and Applied Mathematics

Rarewaves USA United

HEBRON, KY, U.S.A.

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