TY  - BOOK
AU  - Pham,Huy�n.
ED  - SpringerLink (Online service)
TI  - Continuous-time Stochastic Control and Optimization with Financial Applications
T2  - Stochastic Modelling and Applied Probability,
SN  - 9783540895008
AV  - QA273.A1-274.9 
U1  - 519.2 23
PY  - 2009///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Game theory
KW  - Economics, Mathematical
KW  - System theory
KW  - Mathematical optimization
KW  - Calculus of variations
KW  - Probabilities
KW  - Probability Theory and Stochastic Processes
KW  - Optimization
KW  - Calculus of Variations and Optimal Control; Optimization
KW  - Quantitative Finance
KW  - Systems Theory, Control
KW  - Game Theory, Economics, Social and Behav. Sciences
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-540-89500-8
ER  -