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Viser: Continuous-Time Stochastic Control and Optimization with Financial Applications

Continuous-time Stochastic Control and Optimization with Financial Applications
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Continuous-time Stochastic Control and Optimization with Financial Applications Vital Source e-bog

Huyên Pham
(2009)
Springer Nature
725,00 kr.
Leveres umiddelbart efter køb
Continuous-Time Stochastic Control and Optimization with Financial Applications, 1. udgave

Continuous-Time Stochastic Control and Optimization with Financial Applications

Huyên Pham
(2009)
Sprog: Engelsk
Springer Berlin / Heidelberg
775,00 kr.
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Detaljer om varen

  • Vital Source searchable e-book (Fixed pages)
  • Udgiver: Springer Nature (Maj 2009)
  • ISBN: 9783540895008
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 toknow more about the use of stochastic optimization methods in finance.
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Detaljer om varen

  • 1. Udgave
  • Hardback: 260 sider
  • Udgiver: Springer Berlin / Heidelberg (Juni 2009)
  • ISBN: 9783540894995

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.

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.
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