Stochastic Optimal Control In Finance
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Stochastic Optimal Control In Finance
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Author : Mete Soner
language : en
Publisher: Edizioni della Normale
Release Date : 2005-10-01
Stochastic Optimal Control In Finance written by Mete Soner and has been published by Edizioni della Normale this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-01 with Mathematics categories.
This is the extended version of the Cattedra Galileiana I gave in April 2003 in Scuola Normale, Pisa. In these notes, I give a very quick introduction to stochastic optimal control and the dynamic programming approach to control. This is done through several important examples that arise in mathematical finance and economics. The choice of problems is driven by my own research and the desire to illustrate the use of dynamical programming and viscosity solutions. In particular, a great emphasis is given to the problem of super-replication as it provides a usual application of these methods.
Applications Of Stochastic Optimal Control To Economics And Finance
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Author : Salvatore Federico
language : en
Publisher:
Release Date : 2020-06-23
Applications Of Stochastic Optimal Control To Economics And Finance written by Salvatore Federico and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-23 with categories.
In a world dominated by uncertainty, modeling and understanding the optimal behavior of agents is of the utmost importance. Many problems in economics, finance, and actuarial science naturally require decision makers to undertake choices in stochastic environments. Examples include optimal individual consumption and retirement choices, optimal management of portfolios and risk, hedging, optimal timing issues in pricing American options, and investment decisions. Stochastic control theory provides the methods and results to tackle all such problems. This book is a collection of the papers published in the Special Issue "Applications of Stochastic Optimal Control to Economics and Finance", which appeared in the open access journal Risks in 2019. It contains seven peer-reviewed papers dealing with stochastic control models motivated by important questions in economics and finance. Each model is rigorously mathematically funded and treated, and the numerical methods are employed to derive the optimal solution. The topics of the book's chapters range from optimal public debt management to optimal reinsurance, real options in energy markets, and optimal portfolio choice in partial and complete information settings. From a mathematical point of view, techniques and arguments of dynamic programming theory, filtering theory, optimal stopping, one-dimensional diffusions and multi-dimensional jump processes are used.
Stochastic Optimal Control International Finance And Debt Crises
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Author : Jerome L. Stein
language : en
Publisher: OUP Oxford
Release Date : 2006-04-06
Stochastic Optimal Control International Finance And Debt Crises written by Jerome L. Stein and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-06 with Business & Economics categories.
This book focuses on the interaction between equilibrium real exchange rates, optimal external debt, endogenous optimal growth and current account balances, in a world of uncertainty. The theoretical parts result from interdisciplinary research between economics and applied mathematics. From the economic theory and the mathematics of stochastic optimal control the author derives benchmarks for the optimal debt and equilibrium real exchange rate in an environment where both the return on capital and the real rate of interest are stochastic variables. The theoretically derived equilibrium real exchange rate - the "natural real exchange rate" NATREX - is where the real exchange rate is heading. These benchmarks are applied to answer the following questions. * What is a theoretically based empirical measure of a "misaligned" exchange rate that increases the probability of a significant depreciation or a currency crisis? * What is a theoretically based empirical measure of an "excess" debt that increases the probability of or a debt crisis? * What is the interaction between an excess debt and a misaligned exchange rate? The theory is applied to evaluate the Euro exchange rate, the exchange rates of the transition economies, the sustainability of U.S. current account deficits, and derives warning signals of the Asian crises and debt crises in emerging markets.
Optimal Control Models In Finance
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Author : Ping Chen
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-18
Optimal Control Models In Finance written by Ping Chen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-18 with Mathematics categories.
This book reports initial efforts in providing some useful extensions in - nancial modeling; further work is necessary to complete the research agenda. The demonstrated extensions in this book in the computation and modeling of optimal control in finance have shown the need and potential for further areas of study in financial modeling. Potentials are in both the mathematical structure and computational aspects of dynamic optimization. There are needs for more organized and coordinated computational approaches. These ext- sions will make dynamic financial optimization models relatively more stable for applications to academic and practical exercises in the areas of financial optimization, forecasting, planning and optimal social choice. This book will be useful to graduate students and academics in finance, mathematical economics, operations research and computer science. Prof- sional practitioners in the above areas will find the book interesting and inf- mative. The authors thank Professor B.D. Craven for providing extensive guidance and assistance in undertaking this research. This work owes significantly to him, which will be evident throughout the whole book. The differential eq- tion solver “nqq” used in this book was first developed by Professor Craven. Editorial assistance provided by Matthew Clarke, Margarita Kumnick and Tom Lun is also highly appreciated. Ping Chen also wants to thank her parents for their constant support and love during the past four years.
Continuous Time Stochastic Control And Optimization With Financial Applications
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Author : Huyên Pham
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-28
Continuous Time Stochastic Control And Optimization With Financial Applications written by Huyên Pham and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-28 with Mathematics categories.
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.
Mathematics Of Finance
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Author : George Yin
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Mathematics Of Finance written by George Yin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Business & Economics categories.
Contains papers based on talks given at the first AMS-IMS-SIAM Joint Summer Research Conference on Mathematics of Finance held at Snowbird. This book includes such topics as modeling, estimation, optimization, control, and risk assessment and management. It is suitable for students interested in mathematical finance.
Lectures On The Mathematics Of Finance
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Author : Ioannis Karatzas
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Lectures On The Mathematics Of Finance written by Ioannis Karatzas and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Business & Economics categories.
In this text, the author discusses the main aspects of mathematical finance. These include, arbitrage, hedging and pricing of contingent claims, portfolio optimization, incomplete and/or constrained markets, equilibrium, and transaction costs. The book outlines advances made possible during the last fifteen years due to the methodologies of stochastic analysis and control. Readers are presented with current research, and open problems are suggested. This tutorial survey of the rapidly expanding field of mathematical finance is addressed primarily to graduate students in mathematics. Familiarity is assumed with stochastic analysis and parabolic partial differential equations. The text makes significant use of students' mathematical skills, but always in connection with interesting applied problems.
Controlled Markov Processes And Viscosity Solutions
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Author : Wendell H. Fleming
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-04
Controlled Markov Processes And Viscosity Solutions written by Wendell H. Fleming and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-04 with Mathematics categories.
This book is an introduction to optimal stochastic control for continuous time Markov processes and the theory of viscosity solutions. It covers dynamic programming for deterministic optimal control problems, as well as to the corresponding theory of viscosity solutions. New chapters in this second edition introduce the role of stochastic optimal control in portfolio optimization and in pricing derivatives in incomplete markets and two-controller, zero-sum differential games.
The New Palgrave Dictionary Of Money And Finance
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Author : John Eatwell
language : en
Publisher: Springer
Release Date : 1992-10-14
The New Palgrave Dictionary Of Money And Finance written by John Eatwell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-14 with Business & Economics categories.
The first reference work ever to be awarded the Eccles Prize for Excellence in Economic Writing from Columbia Business School. Continuing in the tradition of The New Palgrave , this 3-volume set provides an unparalleled guide to modern money, banking and finance. In over 1,000 substantial essays by leading academic and professional authorities, it provides the most comprehensive analysis available of contemporary theory and the fast-evolving global monetary and financial framework. In its scope and depth of coverage, it is indispensable for the academic and practitioner alike.
International Conference Of Computational Methods In Sciences And Engineering Iccmse 2004
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Author : Theodore Simos
language : en
Publisher: CRC Press
Release Date : 2019-04-29
International Conference Of Computational Methods In Sciences And Engineering Iccmse 2004 written by Theodore Simos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-29 with Computers categories.
The International Conference of Computational Methods in Sciences and Engineering (ICCMSE) is unique in its kind. It regroups original contributions from all fields of the traditional Sciences, Mathematics, Physics, Chemistry, Biology, Medicine and all branches of Engineering. The aim of the conference is to bring together computational scientists from several disciplines in order to share methods and ideas. More than 370 extended abstracts have been submitted for consideration for presentation in ICCMSE 2004. From these, 289 extended abstracts have been selected after international peer review by at least two independent reviewers.