/ by Norbert Hilber, Oleg Reichmann, Christoph Schwab, Christoph Winter
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg
Name of Publisher, Distributor, etc.
: Springer Berlin Heidelberg :Imprint: Springer,
Date of Publication, Distribution, etc.
, 2013.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
XIII, 299 p. 57 illus., 48 illus. in color., online resource.
SERIES
Series Title
(Springer Finance,1616-0533)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
Many mathematical assumptions on which classical derivative pricing methods are based have come under scrutiny in recent years. The present volume offers an introduction to deterministic algorithms for the fast and accurate pricing of derivative contracts in modern finance. This unified, non-Monte-Carlo computational pricing methodology is capable of handling rather general classes of stochastic market models with jumps, including, in particular, all currently used L?شvy and stochastic volatility models. It allows us e.g. to quantify model risk in computed prices on plain vanilla, as well as on various types of exotic contracts. The algorithms are developed in classical Black-Scholes markets, and then extended to market models based on multiscale stochastic volatility, to L?شvy, additive and certain classes of Feller processes. The volume is intended for graduate students and researchers, as well as for practitioners in the fields of quantitative finance and applied and computational mathematics with a solid background in mathematics, statistics or economics.
Text of Note
1.Introduction -- Part I.Basic techniques and models: 2.Notions of mathematical finance -- 3.Elements of numerical methods for PDEs -- 4.Finite element methods for parabolic problems -- 5.European options in BS markets -- 6.American options -- 7.Exotic options -- 8.Interest rate models -- 9.Multi-asset options -- 10.Stochastic volatility models-. 11.L?شvy models -- 12.Sensitivities and Greeks -- Part II.Advanced techniques and models: 13.Wavelet methods -- 14.Multidimensional diffusion models -- 15.Multidimensional L?شvy models -- 16.Stochastic volatility models with jumps -- 17.Multidimensional Feller processes -- Apendices: A.Elliptic variational inequalities -- B.Parabolic variational inequalities -- References. - Index.?╗╣