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Continuous-time Stochastic Control and Optimization with Financial Applications
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Continuous-time Stochastic Control and Optimization with Financial Applications

2009 ed.

Book Details

Format Hardback or Cased Book
ISBN-10 3540894993
ISBN-13 9783540894995
Edition 2009 ed.
Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Manufacture GB
Country of Publication GB
Publication Date Jun 18th, 2009
Print length 232 Pages
Weight 544 grams
Dimensions 24.30 x 16.50 x 2.00 cms
Ksh 10,800.00
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This text 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.

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.


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