Multidimensional Feller Processes
Norbert Hilber,
Oleg Reichmann,
Christoph Schwab and
Christoph Winter
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Norbert Hilber: Zurich University of Applied Sciences
Oleg Reichmann: Swiss Federal Institute of Technology (ETH)
Christoph Schwab: Swiss Federal Institute of Technology (ETH)
Christoph Winter: Allianz Deutschland AG
Chapter Chapter 16 in Computational Methods for Quantitative Finance, 2013, pp 247-267 from Springer
Abstract:
Abstract In this chapter, we extend the setting of Chap. 14 to a more general class of processes. We consider a large class of Markov processes in the following. Under certain assumptions we can apply the theory of pseudodifferential operators in order to analyse the arising pricing equations. The dependence structure of the purely discontinuous part of the market model X is described using Lévy copulas. Wavelets are used for the discretization and preconditioning of the arising PIDEs, which are of variable order with the order depending on the jump state.
Keywords: Option Price; Market Model; Variable Order; Pseudodifferential Operator; Infinitesimal Generator (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprfcp:978-3-642-35401-4_16
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DOI: 10.1007/978-3-642-35401-4_16
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