Computational Methods for Quantitative Finance Finite Element Methods for Derivative Pricing /

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-C...

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Bibliographic Details
Main Authors: Hilber, Norbert. (Author), Reichmann, Oleg. (Author), Schwab, Christoph. (Author), Winter, Christoph. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Series:Springer Finance,
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-35401-4
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245 1 0 |a Computational Methods for Quantitative Finance  |b Finite Element Methods for Derivative Pricing /  |c by Norbert Hilber, Oleg Reichmann, Christoph Schwab, Christoph Winter.  |h [electronic resource] : 
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505 0 # |a 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.Lv̌y models -- 12.Sensitivities and Greeks -- Part II.Advanced techniques and models: 13.Wavelet methods -- 14.Multidimensional diffusion models -- 15.Multidimensional Lv̌y models -- 16.Stochastic volatility models with jumps -- 17.Multidimensional Feller processes -- Apendices: A.Elliptic variational inequalities -- B.Parabolic variational inequalities -- References. - Index. 
520 # # |a 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 Lv̌y 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 Lv̌y, 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. 
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700 1 # |a Schwab, Christoph.  |e author. 
700 1 # |a Winter, Christoph.  |e author. 
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