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This Festschrift resulted from a workshop on "Advanced Modelling in Mathematical Finance" held in honour of Ernst Eberlein´s 70th birthday, from 20 to 22 May 2015 in Kiel, Germany. It includes contributions by several invited speakers at the workshop, including several of Ernst Eberlein´s long-standing collaborators and former students.

Advanced mathematical techniques play an ever-increasing role in modern quantitative finance. Written by leading experts from academia and financial practice, this book offers state-of-the-art papers on the application of jump processes in mathematical finance, on term-structure modelling, and on statistical aspects of financial modelling. It is aimed at graduate students and researchers interested in mathematical finance, as well as practitioners wishing to learn about the latest developments.

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Preface.- ToC.- An Interview with Ernst Eberlein.- Part I: Flexible Lévy-based models. Ernst August v. Hammerstein: Tail behaviour and tail dependence of generalized hyperbolic distributions.- Ole Barndorff-Nielsen: Gamma kernels and BSS/LSS processes.- Michael Mandjes and Peter Spreij: Explicit computations for some Markov modulated counting processes.- Part II: Statistics and risk.- Helyette Geman and Bo Liu: The outlook of energy markets in 2015: introducing distances between forward curves.- Dilip Madan: Three non-Gaussian models of dependence in returns.- Akitoshi Kimura and Nakahiro Yoshida: Estimation of correlation between latent processes.- Jan Beirlant, Wim Schoutens, Jan De Spiegeleer, Tom Reynkens, and Klaus Herrmann: Hunting for black swans in the European banking sector using extreme value analysis.- Eva Lütkebohmert-Holtz and Yajun Xiao: Collateralized borrowing and default risk.- Gerhard Stahl: Model uncertainty in a holistic perspective.- Part III: Derivative pricing, hedging, and optimization.- Christian Bayer and John Schoenmakers: Option pricing in affine generalized Merton models.- Giso Jahncke and Jan Kallsen: Approximate pricing of call options on the quadratic variation in Lévy models.- Ales Cernì: Dynamic discrete-time hedging of barrier options under leptokurtic returns driven by an exponential Lévy model.- Marek Musiela, Ekaterina Sokolova, and Thaleia Zariphopoulou: Exponential forward indifference prices in incomplete binomial models.- Mark Feodoria and Jan Kallsen: Almost surely optimal portfolios under propotional transaction costs.- Jose Manuel Corcuera, Jose Fajardo, and Olivier Pamen: On the optimal payoffs.- Ludger Rüschendorf and Viktor Wolf: Construction and hedging of optimal payoffs in Lévy Models.- Part IV: Term-structure modelling.- Irene Klein, Thorsten Schmidt, and Josef Teichmann: No arbitrage theory for bond markets.- Kathrin Glau, Zorana Grbac, and Antonis Papapantoleon: A unified view of LIBOR models.- Zorana Grbac, David Krief, and Peter Tankov: Approximate option pricing in the Lévy LIBOR model.- Fred Espen Benth: Cointegrated commodity markets and pricing of derivatives in a non-Gaussian framework.

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