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PDE and Martingale Methods in Option Pricing (Bocconi & Springer Series) - Softcover

 
9788847056275: PDE and Martingale Methods in Option Pricing (Bocconi & Springer Series)

Inhaltsangabe

This book offers an introduction to the mathematical, probabilistic and numerical methods used in the modern theory of option pricing. The text is designed for readers with a basic mathematical background. The first part contains a presentation of the arbitrage theory in discrete time. In the second part, the theories of stochastic calculus and parabolic PDEs are developed in detail and the classical arbitrage theory is analyzed in a Markovian setting by means of of PDEs techniques. After the martingale representation theorems and the Girsanov theory have been presented, arbitrage pricing is revisited in the martingale theory optics. General tools from PDE and martingale theories are also used in the analysis of volatility modeling. The book also contains an Introduction to Lévy processes and Malliavin calculus. The last part is devoted to the description of the numerical methods used in option pricing: Monte Carlo, binomial trees, finite differences and Fourier transform.

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Über die Autorin bzw. den Autor

Andrea Pascucci is Professor of Mathematics at the University of Bologna where he is director of a master program in Quantitative Finance. His research interests include second order parabolic partial differential equations and stochastic analysis with applications to finance (pricing of European, American and Asian options).

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9788847017801: PDE and Martingale Methods in Option Pricing: 02 (Bocconi & Springer Series)

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ISBN 10:  8847017807 ISBN 13:  9788847017801
Verlag: Springer, 2010
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Andrea Pascucci
ISBN 10: 8847056276 ISBN 13: 9788847056275
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Taschenbuch. Zustand: Neu. Neuware -This book offers an introduction to the mathematical, probabilistic and numerical methods used in the modern theory of option pricing. The text is designed for readers with a basic mathematical background.The first part contains a presentation of the arbitrage theory in discrete time.In the second part, the theories of stochastic calculus and parabolic PDEs are developed in detail and the classical arbitrage theory is analyzed in a Markovian setting by means of of PDEs techniques. After the martingale representation theorems and the Girsanov theory have been presented, arbitrage pricing is revisited in the martingale theory optics. General tools from PDE and martingale theories are also used in the analysis of volatility modeling.The book also contains an Introduction to Lévy processes and Malliavin calculus. The last part is devoted to the description of the numerical methods used in option pricing: Monte Carlo, binomial trees, finite differences and Fourier transform.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 740 pp. Englisch. Artikel-Nr. 9788847056275

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Andrea Pascucci
ISBN 10: 8847056276 ISBN 13: 9788847056275
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book offers an introduction to the mathematical, probabilistic and numerical methods used in the modern theory of option pricing. The text is designed for readers with a basic mathematical background.The first part contains a presentation of the arbitrage theory in discrete time.In the second part, the theories of stochastic calculus and parabolic PDEs are developed in detail and the classical arbitrage theory is analyzed in a Markovian setting by means of of PDEs techniques. After the martingale representation theorems and the Girsanov theory have been presented, arbitrage pricing is revisited in the martingale theory optics. General tools from PDE and martingale theories are also used in the analysis of volatility modeling.The book also contains an Introduction to Lévy processes and Malliavin calculus. The last part is devoted to the description of the numerical methods used in option pricing: Monte Carlo, binomial trees, finite differences and Fourier transform. Artikel-Nr. 9788847056275

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Andrea Pascucci
Verlag: Springer, 2014
ISBN 10: 8847056276 ISBN 13: 9788847056275
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Paperback. Zustand: Brand New. 2011 edition. 740 pages. 9.25x6.10x1.67 inches. In Stock. Artikel-Nr. zk8847056276

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