Mathematical Control Theory and Finance

Mathematical Control Theory and Finance

Author
Andrey Sarychev, Albert Shiryaev, Manuel Guerra …
Publication Year
2008
Publisher
Springer
Language
English
Document Type
Book
Faculty / Subject Heading
Mathematics and Statistics

This book highlights recent developments in mathematical control theory and its applications to finance. It presents a collection of original contributions by distinguished scholars, addressing a large spectrum of problems and techniques. Control theory provides a large set of theoretical and computational tools with applications in a wide range of fields, ranging from "pure" areas of mathematics up to applied sciences like finance. Stochastic optimal control is a well established and important tool of mathematical finance. Other branches of control theory have found comparatively less applications to financial problems, but the exchange of ideas and methods has intensified in recent years. This volume should contribute to establish bridges between these separate fields. The diversity of topics covered as well as the large array of techniques and ideas brought in to obtain the results make this volume a valuable resource for advanced students and researchers.


Keywords: Mathematics and Statistics / Deterministic Control / Finance / Interpolation / Stochastic Control / Calculus / Entropy / Incomplete markets / Mathematical finance / Mathematics / Modeling / Optimal control / Optimization / Volatility / Quantitative finance