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Continuous-time Stochastic Control and Optimization with Financial Applications

Stochastic optimization problems arise in decision-making problems under uncertainty, and find various applications in economics and finance. On the other hand, problems in finance have recently led to new developments in the theory of stochastic control. This volume provides a systematic treatment...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pham, Huyên (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Stochastic Modelling and Applied Probability, 61
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Continuous-time Stochastic Control and Optimization with Financial Applications  |h [electronic resource] /  |c by Huyên Pham. 
250 |a 1st ed. 2009. 
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490 1 |a Stochastic Modelling and Applied Probability,  |x 2197-439X ;  |v 61 
505 0 |a Some elements of stochastic analysis -- Stochastic optimization problems. Examples in finance -- The classical PDE approach to dynamic programming -- The viscosity solutions approach to stochastic control problems -- Optimal switching and free boundary problems -- Backward stochastic differential equations and optimal control -- Martingale and convex duality methods. 
520 |a Stochastic optimization problems arise in decision-making problems under uncertainty, and find various applications in economics and finance. On the other hand, problems in finance have recently led to new developments in the theory of stochastic control. This volume provides a systematic treatment of stochastic optimization problems applied to finance by presenting the different existing methods: dynamic programming, viscosity solutions, backward stochastic differential equations, and martingale duality methods. The theory is discussed in the context of recent developments in this field, with complete and detailed proofs, and is illustrated by means of concrete examples from the world of finance: portfolio allocation, option hedging, real options, optimal investment, etc. This book is directed towards graduate students and researchers in mathematical finance, and will also benefit applied mathematicians interested in financial applications and practitioners wishing to know more about the use of stochastic optimization methods in finance. 
650 0 |a Probabilities. 
650 0 |a Mathematical optimization. 
650 0 |a Calculus of variations. 
650 0 |a Social sciences-Mathematics. 
650 0 |a System theory. 
650 0 |a Control theory. 
650 0 |a Game theory. 
650 1 4 |a Probability Theory. 
650 2 4 |a Optimization. 
650 2 4 |a Calculus of Variations and Optimization. 
650 2 4 |a Mathematics in Business, Economics and Finance. 
650 2 4 |a Systems Theory, Control . 
650 2 4 |a Game Theory. 
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