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9781489985804: The Interval Market Model in Mathematical Finance: Game-Theoretic Methods

Synopsis

Toward the late 1990s, several research groups independently began developing new, related theories in mathematical finance. These theories did away with the standard stochastic geometric diffusion “Samuelson” market model (also known as the Black-Scholes model because it is used in that most famous theory), instead opting for models that allowed minimax approaches to complement or replace stochastic methods. Among the most fruitful models were those utilizing game-theoretic tools and the so-called interval market model. Over time, these models have slowly but steadily gained influence in the financial community, providing a useful alternative to classical methods.

A self-contained monograph, The Interval Market Model in Mathematical Finance: Game-Theoretic Methods assembles some of the most important results, old and new, in this area of research. Written by seven of the most prominent pioneers of the interval market model and game-theoretic finance, the work provides a detailed account of several closely related modeling techniques for an array of problems in mathematical economics. The book is divided into five parts, which successively address topics including:

· probability-free Black-Scholes theory;

· fair-price interval of an option;

· representation formulas and fast algorithms for option pricing;

· rainbow options;

· tychastic approach of mathematical finance based upon viability theory.

This book provides a welcome addition to the literature, complementing myriad titles on the market that take a classical approach to mathematical finance. It is a worthwhile resource for researchers in applied mathematics and quantitative finance, and has also been written in a manner accessible to financially-inclined readers with a limited technical background.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Written by seven of the most prominent pioneers of the interval market model and game-theoretic approach to finance, this book provides a detailed account of several closely related modeling techniques for an array of problems in mathematical economics.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

  • ÉditeurBirkhäuser
  • Date d'édition2015
  • ISBN 10 1489985808
  • ISBN 13 9781489985804
  • ReliureBroché
  • Langueanglais
  • Nombre de pages364
  • Coordonnées du fabricantnon disponible

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ISBN 10 :  0817683879 ISBN 13 :  9780817683870
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Pierre Bernhard|Jacob C. Engwerda|Berend Roorda|J.M. Schumacher|Vassili Kolokoltsov|Patrick Saint-Pierre|Jean-Pierre Aubin
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Toward the late 1990s, several research groups independently began developing new, related theories in mathematical finance. These theories did away with the standard stochastic geometric diffusion 'Samuelson' market model (also known as the Black-Scholes model because it is used in that most famous theory), instead opting for models that allowed minimax approaches to complement or replace stochastic methods. Among the most fruitful models were those utilizing game-theoretic tools and the so-called interval market model. Over time, these models have slowly but steadily gained influence in the financial community, providing a useful alternative to classical methods.A self-contained monograph, The Interval Market Model in Mathematical Finance: Game-Theoretic Methods assembles some of the most important results, old and new, in this area of research. Written by seven of the most prominent pioneers of the interval market model and game-theoretic finance, the work provides a detailed account of several closely related modeling techniques for an array of problems in mathematical economics. The book is divided into five parts, which successively address topics including: probability-free Black-Scholes theory; fair-price interval of an option; representation formulas and fast algorithms for option pricing; rainbow options; tychastic approach of mathematical finance based upon viability theory.This book provides a welcome addition to the literature, complementing myriad titles on the market that take a classical approach to mathematical finance. It is a worthwhile resource for researchers in applied mathematics and quantitative finance, and has also been written in a manner accessible to financially-inclined readers with a limited technical background. 364 pp. Englisch. N° de réf. du vendeur 9781489985804

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Bernhard, Pierre; Engwerda, Jacob C.; Roorda, Berend; Schumacher, J.M.; Kolokoltsov, Vassili; Saint-Pierre, Patrick; Aubin, Jean-Pierre
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Taschenbuch. Etat : Neu. Neuware -Toward the late 1990s, several research groups independently began developing new, related theories in mathematical finance.These theories didaway with the standard stochastic geometric diffusion ¿Samuelson¿ market model (also known as the Black-Scholes model because it is used in that most famous theory), instead opting for models that allowed minimax approachesto complement or replace stochastic methods.Among the most fruitful models were those utilizing game-theoretic tools and the so-called interval market model. Over time, these models have slowly but steadily gained influence in the financial community, providing a useful alternative to classical methods.A self-contained monograph, The Interval Market Model in Mathematical Finance: Game-Theoretic Methodsassembles some of the most important results, old and new, in this area of research. Written by seven of the most prominent pioneers of the interval market model and game-theoretic finance, the work provides a detailed account of several closely relatedmodeling techniquesfor an array of problems in mathematical economics. The book isdivided into five parts, which successively address topics including: probability-free Black-Scholes theory; fair-price interval of an option; representation formulas and fast algorithms for option pricing; rainbow options; tychastic approach of mathematical finance based upon viability theory.This book providesa welcome addition to the literature, complementing myriad titles on the market that take a classical approach to mathematical finance. Itis a worthwhile resource for researchers in applied mathematics and quantitative finance,and has also beenwritten in a manneraccessible to financially-inclined readers with a limited technical background.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 364 pp. Englisch. N° de réf. du vendeur 9781489985804

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Toward the late 1990s, several research groups independently began developing new, related theories in mathematical finance. These theories did away with the standard stochastic geometric diffusion 'Samuelson' market model (also known as the Black-Scholes model because it is used in that most famous theory), instead opting for models that allowed minimax approaches to complement or replace stochastic methods. Among the most fruitful models were those utilizing game-theoretic tools and the so-called interval market model. Over time, these models have slowly but steadily gained influence in the financial community, providing a useful alternative to classical methods.A self-contained monograph, The Interval Market Model in Mathematical Finance: Game-Theoretic Methods assembles some of the most important results, old and new, in this area of research. Written by seven of the most prominent pioneers of the interval market model and game-theoretic finance, the work provides a detailed account of several closely related modeling techniques for an array of problems in mathematical economics. The book is divided into five parts, which successively address topics including: probability-free Black-Scholes theory; fair-price interval of an option; representation formulas and fast algorithms for option pricing; rainbow options; tychastic approach of mathematical finance based upon viability theory.This book provides a welcome addition to the literature, complementing myriad titles on the market that take a classical approach to mathematical finance. It is a worthwhile resource for researchers in applied mathematics and quantitative finance, and has also been written in a manner accessible to financially-inclined readers with a limited technical background. N° de réf. du vendeur 9781489985804

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