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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Pham, Huyên (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
Σειρά:Stochastic Modelling and Applied Probability, 61
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Continuous-time Stochastic Control and Optimization with Financial Applications  |h [electronic resource] /  |c by Huyên Pham. 
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490 1 |a Stochastic Modelling and Applied Probability,  |x 0172-4568 ;  |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 Mathematics. 
650 0 |a Game theory. 
650 0 |a Economics, Mathematical. 
650 0 |a System theory. 
650 0 |a Mathematical optimization. 
650 0 |a Calculus of variations. 
650 0 |a Probabilities. 
650 1 4 |a Mathematics. 
650 2 4 |a Probability Theory and Stochastic Processes. 
650 2 4 |a Optimization. 
650 2 4 |a Calculus of Variations and Optimal Control; Optimization. 
650 2 4 |a Quantitative Finance. 
650 2 4 |a Systems Theory, Control. 
650 2 4 |a Game Theory, Economics, Social and Behav. Sciences. 
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830 0 |a Stochastic Modelling and Applied Probability,  |x 0172-4568 ;  |v 61 
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