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The book gives a systematical presentation of stochastic approximation methods for models of American-type options with general pay-off functions for discrete time Markov price processes. Advanced methods combining backward recurrence algorithms for computing of option rewards and general results on convergence of stochastic space skeleton and tree approximations for option rewards are applied to a variety of models of multivariate modulated Markov price processes. The principal novelty of presented results is based on consideration of multivariate modulated Markov price processes and general pay-off functions, which can depend not only on price but also an additional stochastic modulating index component, and use of minimal conditions of smoothness for transition probabilities and pay-off functions, compactness conditions for log-price processes and rate of growth conditions for pay-off functions. The book also contains an extended bibliography of works in the area.
This book is the first volume of the comprehensive two volumes monograph. The second volume will present results on structural studies of optimal stopping domains, Monte Carlo based approximation reward algorithms, and convergence of American-type options for autoregressive and continuous time models, as well as results of the corresponding experimental studies.
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Dmitrii S. Silvestrov, Stockholm University, Sweden.
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American-type options Vol. 1., Stochastic approximation methods / De Gruyter studies in mathematics ; Vol. 56 Stochastic Approximation Methods, Volume 1
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Berlin ; Boston, Mass. : De Gruyter, 2014
ISBN 10: 3110329670
ISBN 13: 9783110329674
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Condizione: Gut. X, 509 S., gr. 8° Sehr guter Zustand. The book gives a systematical presentation of stochastic approximation methods for models of American-type options with general pay-off functions for discrete time Markov price processes. Advanced methods combining backward recurrence algorithms for computing of option rewards and general results on convergence of stochastic space skeleton and tree approximations for option rewards are applied to a variety of models of multivariate modulated Markov price processes. The principal novelty of presented results is based on consideration of multivariate modulated Markov price processes and general pay-off functions, which can depend not only on price but also an additional stochastic modulating index component, and use of minimal conditions of smoothness for transition probabilities and pay-off functions, compactness conditions for log-price processes and rate of growth conditions for pay-off functions. The book also contains an extended bibliography of works in the area. This book is the first volume of the comprehensive two volumes monograph. The second volume will present results on structural studies of optimal stopping domains, Monte Carlo based approximation reward algorithms, and convergence of American-type options for autoregressive and continuous time models, as well as results of the corresponding experimental studies. AN1550 Sprache: Englisch Gewicht in Gramm: 950 Gebunden. Fester Pappeinband ohne Schutzumschlag. Codice articolo 113958
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American-Type Options
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Hardcover. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Dmitrii S. Silvestrov. Codice articolo 4457762
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American-Type Options
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American-Type Options : Stochastic Approximation Methods
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American-Type Options - Stochastic Approximation Methods, Volume 1 (eng)
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American-Type Options
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De Gruyter, De Gruyter Nov 2013, 2013
ISBN 10: 3110329670
ISBN 13: 9783110329674
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book gives a systematical presentation of stochastic approximation methods for models of American-type options with general pay-off functions for discrete time Markov price processes. Advanced methods combining backward recurrence algorithms for computing of option rewards and general results on convergence of stochastic space skeleton and tree approximations for option rewards are applied to a variety of models of multivariate modulated Markov price processes. The principal novelty of presented results is based on consideration of multivariate modulated Markov price processes and general pay-off functions, which can depend not only on price but also an additional stochastic modulating index component, and use of minimal conditions of smoothness for transition probabilities and pay-off functions, compactness conditions for log-price processes and rate of growth conditions for pay-off functions. The book also contains an extended bibliography of works in the area. This book is the first volume of the comprehensive two volumes monograph. The second volume will present results on structural studies of optimal stopping domains, Monte Carlo based approximation reward algorithms, and convergence of American-type options for autoregressive and continuous time models, as well as results of the corresponding experimental studies. 520 pp. Englisch. Codice articolo 9783110329674
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American-Type Options | Stochastic Approximation Methods, Volume 1
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Buch. Condizione: Neu. American-Type Options | Stochastic Approximation Methods, Volume 1 | Dmitrii S. Silvestrov | Buch | X | Englisch | 2013 | De Gruyter | EAN 9783110329674 | Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, 10785 Berlin, productsafety[at]degruyterbrill[dot]com | Anbieter: preigu Print on Demand. Codice articolo 105582932
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American-Type Options : Stochastic Approximation Methods
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