Computational Methods for Quantitative Finance

Finite Element Methods for Derivative Pricing

Nonfiction, Science & Nature, Mathematics, Number Systems, Applied, Business & Finance
Cover of the book Computational Methods for Quantitative Finance by Norbert Hilber, Oleg Reichmann, Christoph Schwab, Christoph Winter, Springer Berlin Heidelberg
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Author: Norbert Hilber, Oleg Reichmann, Christoph Schwab, Christoph Winter ISBN: 9783642354014
Publisher: Springer Berlin Heidelberg Publication: February 15, 2013
Imprint: Springer Language: English
Author: Norbert Hilber, Oleg Reichmann, Christoph Schwab, Christoph Winter
ISBN: 9783642354014
Publisher: Springer Berlin Heidelberg
Publication: February 15, 2013
Imprint: Springer
Language: English

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 Lévy 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 Lévy, additive and certain classes of Feller processes. 

This book 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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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 Lévy 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 Lévy, additive and certain classes of Feller processes. 

This book 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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