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Optimality And Risk Modern Trends In Mathematical Finance
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Book Synopsis Optimality and Risk - Modern Trends in Mathematical Finance by : Freddy Delbaen
Download or read book Optimality and Risk - Modern Trends in Mathematical Finance written by Freddy Delbaen and published by Springer Science & Business Media. This book was released on 2009-08-25 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems of stochastic optimization and various mathematical aspects of risk are the main themes of this contributed volume. The readers learn about the recent results and techniques of optimal investment, risk measures and derivative pricing. There are also papers touching upon credit risk, martingale theory and limit theorems. Forefront researchers in probability and financial mathematics have contributed to this volume paying tribute to Yuri Kabanov, an eminent researcher in probability and mathematical finance, on the occasion of his 60th birthday. The volume gives a fair overview of these topics and the current approaches.
Book Synopsis Handbook of the Fundamentals of Financial Decision Making by : Leonard C. MacLean
Download or read book Handbook of the Fundamentals of Financial Decision Making written by Leonard C. MacLean and published by World Scientific. This book was released on 2013 with total page 941 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook in two parts covers key topics of the theory of financial decision making. Some of the papers discuss real applications or case studies as well. There are a number of new papers that have never been published before especially in Part II.Part I is concerned with Decision Making Under Uncertainty. This includes subsections on Arbitrage, Utility Theory, Risk Aversion and Static Portfolio Theory, and Stochastic Dominance. Part II is concerned with Dynamic Modeling that is the transition for static decision making to multiperiod decision making. The analysis starts with Risk Measures and then discusses Dynamic Portfolio Theory, Tactical Asset Allocation and Asset-Liability Management Using Utility and Goal Based Consumption-Investment Decision Models.A comprehensive set of problems both computational and review and mind expanding with many unsolved problems are in an accompanying problems book. The handbook plus the book of problems form a very strong set of materials for PhD and Masters courses both as the main or as supplementary text in finance theory, financial decision making and portfolio theory. For researchers, it is a valuable resource being an up to date treatment of topics in the classic books on these topics by Johnathan Ingersoll in 1988, and William Ziemba and Raymond Vickson in 1975 (updated 2 nd edition published in 2006).
Book Synopsis Finance at Fields by : Matheus R. Grasselli
Download or read book Finance at Fields written by Matheus R. Grasselli and published by World Scientific. This book was released on 2013 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding collection of articles includes papers presented at the Fields Institute, Toronto, as part of the Thematic Program in Quantitative Finance that took place in the first six months of the year 2010. The scope of the volume is very broad, with papers on foundational issues in mathematical finance, papers on computational finance, and papers on derivatives and risk management. Many of the articles contain path-breaking insights that are relevant to the developing new order of post-crisis financial risk management.
Book Synopsis Seminar on Stochastic Analysis, Random Fields and Applications VI by : Robert Dalang
Download or read book Seminar on Stochastic Analysis, Random Fields and Applications VI written by Robert Dalang and published by Springer Science & Business Media. This book was released on 2011-03-16 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains refereed research or review papers presented at the 6th Seminar on Stochastic Processes, Random Fields and Applications, which took place at the Centro Stefano Franscini (Monte Verità) in Ascona, Switzerland, in May 2008. The seminar focused mainly on stochastic partial differential equations, especially large deviations and control problems, on infinite dimensional analysis, particle systems and financial engineering, especially energy markets and climate models. The book will be a valuable resource for researchers in stochastic analysis and professionals interested in stochastic methods in finance.
Book Synopsis Festschrift Masatoshi Fukushima by : Zhen-Qing Chen
Download or read book Festschrift Masatoshi Fukushima written by Zhen-Qing Chen and published by World Scientific. This book was released on 2014-11-27 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains original research papers by leading experts in the fields of probability theory, stochastic analysis, potential theory and mathematical physics. There is also a historical account on Masatoshi Fukushima's contribution to mathematics, as well as authoritative surveys on the state of the art in the field. Contents:Professor Fukushima's Work:The Mathematical Work of Masatoshi Fukushima — An Essay (Zhen-Qing Chen, Niels Jacob, Masayoshi Takeda and Toshihiro Uemura)Bibliography of Masatoshi FukushimaContributions:Quasi Regular Dirichlet Forms and the Stochastic Quantization Problem (Sergio Albeverio, Zhi-Ming Ma and Michael Röckner)Comparison of Quenched and Annealed Invariance Principles for Random Conductance Model: Part II (Martin Barlow, Krzysztof Burdzy and Adám Timár)Some Historical Aspects of Error Calculus by Dirichlet Forms (Nicolas Bouleau)Stein's Method, Malliavin Calculus, Dirichlet Forms and the Fourth Moment Theorem (Louis H Y Chen and Guillaume Poly)Progress on Hardy-Type Inequalities (Mu-Fa Chen)Functional Inequalities for Pure-Jump Dirichlet Forms (Xin Chen, Feng-Yu Wang and Jian Wang)Additive Functionals and Push Forward Measures Under Veretennikov's Flow (Shizan Fang and Andrey Pilipenko)On a Result of D W Stroock (Patrick J Fitzsimmons)Consistent Risk Measures and a Non-Linear Extension of Backwards Martingale Convergence (Hans Föllmer and Irina Penner)Unavoidable Collections of Balls for Processes with Isotropic Unimodal Green Function (Wolfhard Hansen)Functions of Locally Bounded Variation on Wiener Spaces (Masanori Hino)A Dirichlet Space on Ends of Tree and Superposition of Nodewise Given Dirichlet Forms with Tier Linkage (Hiroshi Kaneko)Dirichlet Forms in Quantum Theory (Witold Karwowski and Ludwig Streit)On a Stability of Heat Kernel Estimates under Generalized Non-Local Feynman-Kac Perturbations for Stable-Like Processes (Daehong Kim and Kazuhiro Kuwae)Martin Boundary for Some Symmetric Lévy Processes (Panki Kim, Renming Song and Zoran Vondraček)Level Statistics of One-Dimensional Schrödinger Operators with Random Decaying Potential (Shinichi Kotani and Fumihiko Nakano)Perturbation of the Loop Measure (Yves Le Jan and Jay Rosen)Regular Subspaces of Dirichlet Forms (Liping Li and Jiangang Ying)Quasi-Regular Semi-Dirichlet Forms and Beyond (Zhi-Ming Ma, Wei Sun and Li-Fei Wang)Large Deviation Estimates for Controlled Semi-Martingales (Hideo Nagai)A Comparison Theorem for Backward SPDEs with Jumps (Bernt Øksendal, Agnès Sulem and Tusheng Zhang)On a Construction of a Space-Time Diffusion Process with Boundary Condition (Yoichi Oshima)Lower Bounded Semi-Dirichlet Forms Associated with Lévy Type Operators (René L Schilling and Jian Wang)Ultracontractivity for Non-Symmetric Markovian Semigroups (Ichiro Shigekawa)Metric Measure Spaces with Variable Ricci Bounds and Couplings of Brownian Motions (Karl-Theodor Sturm)Intrinsic Ultracontractivity and Semi-Small Perturbation for Skew Product Diffusion Operators (Matsuyo Tomisaki) Readership: Researchers in probability, stochastic analysis and mathematical physics. Key Features:Research papers by leading expertsHistorical account of M Fukushima's contribution to mathematicsAuthoritative surveys on the state of the art in the fieldKeywords:Probability Theory;Markov Processes;Dirichlet Forms;Potential Theory;Mathematical Physics
Book Synopsis Credit Risk Frontiers by : Tomasz Bielecki
Download or read book Credit Risk Frontiers written by Tomasz Bielecki and published by John Wiley & Sons. This book was released on 2011-02-08 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: A timely guide to understanding and implementing credit derivatives Credit derivatives are here to stay and will continue to play a role in finance in the future. But what will that role be? What issues and challenges should be addressed? And what lessons can be learned from the credit mess? Credit Risk Frontiers offers answers to these and other questions by presenting the latest research in this field and addressing important issues exposed by the financial crisis. It covers this subject from a real world perspective, tackling issues such as liquidity, poor data, and credit spreads, as well as the latest innovations in portfolio products and hedging and risk management techniques. Provides a coherent presentation of recent advances in the theory and practice of credit derivatives Takes into account the new products and risk requirements of a post financial crisis world Contains information regarding various aspects of the credit derivative market as well as cutting edge research regarding those aspects If you want to gain a better understanding of how credit derivatives can help your trading or investing endeavors, then Credit Risk Frontiers is a book you need to read.
Book Synopsis On Quasiconvex Conditional Maps. Duality Results and Applications to Finance by : Marco Maggis
Download or read book On Quasiconvex Conditional Maps. Duality Results and Applications to Finance written by Marco Maggis and published by Ledizioni. This book was released on 2011 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Mathematical Economics Volume 14 by : Shigeo Kusuoka
Download or read book Advances in Mathematical Economics Volume 14 written by Shigeo Kusuoka and published by Springer Science & Business Media. This book was released on 2010-11-29 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research.
Book Synopsis Recent Developments in Mathematical Finance by : Jiongmin Yong
Download or read book Recent Developments in Mathematical Finance written by Jiongmin Yong and published by World Scientific. This book was released on 2002 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with topics such as the pricing of various contingent claims within different frameworks, risk-sensitive problems, optimal investment, defaultable term structure, etc. It also reflects on some recent developments in certain important aspects of mathematical finance. Contents: Intensity-Based Valuation of Basket Credit Derivatives (T R Bielecki & M Rutkowski); Comonotonicity of Backward Stochastic Differential Equations (Z Chen & X Wang); Some Lookback Option Pricing Problems (X Guo); Optimal Investment and Consumption with Fixed and Proportional Transaction Costs (H Liu); Filtration Consistent Nonlinear Expectations (F Coquet et al.); A Theory of Volatility (A Savine); Discrete Time Markets with Transaction Costs (L Stettner); Options on Dividend Paying Stocks (R Beneder & T Vorst); Risk: From Insurance to Finance (H Yang); Arbitrage Pricing Systems in a Market Driven by an It Process (S Luo et al.); and other papers. Readership: Graduate students and researchers in mathematical finance and economics.
Book Synopsis Stochastic Volatility Modeling by : Lorenzo Bergomi
Download or read book Stochastic Volatility Modeling written by Lorenzo Bergomi and published by CRC Press. This book was released on 2015-12-16 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Packed with insights, Lorenzo Bergomi's Stochastic Volatility Modeling explains how stochastic volatility is used to address issues arising in the modeling of derivatives, including:Which trading issues do we tackle with stochastic volatility? How do we design models and assess their relevance? How do we tell which models are usable and when does c
Book Synopsis Stochastic Analysis and Applications 2014 by : Dan Crisan
Download or read book Stochastic Analysis and Applications 2014 written by Dan Crisan and published by Springer. This book was released on 2014-12-13 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles from many of the main contributors to recent progress in stochastic analysis are included in this volume, which provides a snapshot of the current state of the area and its ongoing developments. It constitutes the proceedings of the conference on "Stochastic Analysis and Applications" held at the University of Oxford and the Oxford-Man Institute during 23-27 September, 2013. The conference honored the 60th birthday of Professor Terry Lyons FLSW FRSE FRS, Wallis Professor of Mathematics, University of Oxford. Terry Lyons is one of the leaders in the field of stochastic analysis. His introduction of the notion of rough paths has revolutionized the field, both in theory and in practice. Stochastic Analysis is the branch of mathematics that deals with the analysis of dynamical systems affected by noise. It emerged as a core area of mathematics in the late 20th century and has subsequently developed into an important theory with a wide range of powerful and novel tools, and with impressive applications within and beyond mathematics. Many systems are profoundly affected by stochastic fluctuations and it is not surprising that the array of applications of Stochastic Analysis is vast and touches on many aspects of life. The present volume is intended for researchers and Ph.D. students in stochastic analysis and its applications, stochastic optimization and financial mathematics, as well as financial engineers and quantitative analysts.
Book Synopsis Probabilistic Theory of Mean Field Games with Applications II by : René Carmona
Download or read book Probabilistic Theory of Mean Field Games with Applications II written by René Carmona and published by Springer. This book was released on 2018-03-08 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications. The book is self-contained in nature and includes original material and applications with explicit examples throughout, including numerical solutions. Volume II tackles the analysis of mean field games in which the players are affected by a common source of noise. The first part of the volume introduces and studies the concepts of weak and strong equilibria, and establishes general solvability results. The second part is devoted to the study of the master equation, a partial differential equation satisfied by the value function of the game over the space of probability measures. Existence of viscosity and classical solutions are proven and used to study asymptotics of games with finitely many players. Together, both Volume I and Volume II will greatly benefit mathematical graduate students and researchers interested in mean field games. The authors provide a detailed road map through the book allowing different access points for different readers and building up the level of technical detail. The accessible approach and overview will allow interested researchers in the applied sciences to obtain a clear overview of the state of the art in mean field games.
Book Synopsis Computational and Analytical Mathematics by : David H. Bailey
Download or read book Computational and Analytical Mathematics written by David H. Bailey and published by Springer Science & Business Media. This book was released on 2013-09-15 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Jonathan Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980-1999. He has served the Canadian Mathematics Community through his presidency (2000–02) as well as his 15 years of editing the CMS book series. Jonathan Borwein’s vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle. The workshops that were held over the years in Dr. Borwein’s honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop on ‘Computational and Analytical Mathematics’ held in May 2011 in celebration of Dr. Borwein’s 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.
Book Synopsis Recent Developments In Mathematical Finance - Proceedings Of The International Conference On Mathematical Finance by : Jiongmin Yong
Download or read book Recent Developments In Mathematical Finance - Proceedings Of The International Conference On Mathematical Finance written by Jiongmin Yong and published by World Scientific. This book was released on 2001-12-28 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with topics such as the pricing of various contingent claims within different frameworks, risk-sensitive problems, optimal investment, defaultable term structure, etc. It also reflects on some recent developments in certain important aspects of mathematical finance.
Book Synopsis Frontiers in Stochastic Analysis–BSDEs, SPDEs and their Applications by : Samuel N. Cohen
Download or read book Frontiers in Stochastic Analysis–BSDEs, SPDEs and their Applications written by Samuel N. Cohen and published by Springer Nature. This book was released on 2019-08-31 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of selected, revised and extended contributions resulted from a Workshop on BSDEs, SPDEs and their Applications that took place in Edinburgh, Scotland, July 2017 and included the 8th World Symposium on BSDEs. The volume addresses recent advances involving backward stochastic differential equations (BSDEs) and stochastic partial differential equations (SPDEs). These equations are of fundamental importance in modelling of biological, physical and economic systems, and underpin many problems in control of random systems, mathematical finance, stochastic filtering and data assimilation. The papers in this volume seek to understand these equations, and to use them to build our understanding in other areas of mathematics. This volume will be of interest to those working at the forefront of modern probability theory, both established researchers and graduate students.
Book Synopsis Stochastic Processes, Finance and Control by : Samuel N Cohen
Download or read book Stochastic Processes, Finance and Control written by Samuel N Cohen and published by World Scientific. This book was released on 2012-08-10 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of a series of new, peer-reviewed papers in stochastic processes, analysis, filtering and control, with particular emphasis on mathematical finance, actuarial science and engineering. Paper contributors include colleagues, collaborators and former students of Robert Elliott, many of whom are world-leading experts and have made fundamental and significant contributions to these areas. This book provides new important insights and results by eminent researchers in the considered areas, which will be of interest to researchers and practitioners. The topics considered will be diverse in applications, and will provide contemporary approaches to the problems considered. The areas considered are rapidly evolving. This volume will contribute to their development, and present the current state-of-the-art stochastic processes, analysis, filtering and control. Contributing authors include: H Albrecher, T Bielecki, F Dufour, M Jeanblanc, I Karatzas, H-H Kuo, A Melnikov, E Platen, G Yin, Q Zhang, C Chiarella, W Fleming, D Madan, R Mamon, J Yan, V Krishnamurthy. Contents:Stochastic Analysis:On the Connection Between Discrete and Continuous Wick Calculus with an Application to the Fractional Black-Scholes Model (C Bender and P Parczewski)Malliavin Differentiability of a Class of Feller-Diffusions with Relevance in Finance (C-O Ewald, Y Xiao, Y Zou and T K Siu)A Stochastic Integral for Adapted and Instantly Independent Stochastic Processes (H-H Kuo, A Sae-Tang and B Szozda)Independence of Some Multiple Poisson Stochastic Integrals with Variable-Sign Kernels (N Privault)Differential and Stochastic Games:Strategies for Differential Games (W H Fleming and D Hernández-Hernández)BSDE Approach to Non-Zero-Sum Stochastic Differential Games of Control and Stopping (I Karatzas and Q Li)Mathematical Finance:On Optimal Dividend Strategies in Insurance with a Random Time Horizon (H Albrecher and S Thonhauser)Counterparty Risk and the Impact of Collateralization in CDS Contracts (T R Bielecki, I Cialenco and I Iyigunler)A Modern View on Merton's Jump-Diffusion Model (G H L Cheang and C Chiarella)Hedging Portfolio Loss Derivatives with CDS's (A Cousin and M Jeanblanc)New Analytic Approximations for Pricing Spread Options (J van der Hoek and M W Korolkiewicz)On the Polynomial–Normal Model and Option Pricing (H Li and A Melnikov)A Functional Transformation Approach to Interest Rate Modelling(S Luo, J Yan and Q Zhang)S&P 500 Index Option Surface Drivers and Their Risk Neutral and Real World Quadratic Covariations (D B Madan)A Dynamic Portfolio Approach to Asset Markets and Monetary Policy (E Platen and W Semmler)Mean-Variance Portfolio Selection Under Regime-Switching Diffusion Asset Models: A Two-Time-Scale Limit (G Yin and Y Talafha)Filtering and Control:Existence and Uniqueness of Solutions for a Partially Observed Stochastic Control Problem (A Bensoussan, M Çakanyildirim, M Li and S P Sethi)Continuous Control of Piecewise Deterministic Markov Processes with Long Run Average Cost (O L V Costa and F Dufour)Stochastic Linear-Quadratic Control Revisited (T E Duncan)Optimization of Stochastic Uncertain Systems: Entropy Rate Functionals, Minimax Games and Robustness (F Rezaei, C D Charalambous and N U Ahmed)Gradient Based Policy Optimization of Constrained Markov Decision Processes (V Krishnamurthy and F J Vázquez Abad)Parameter Estimation of a Regime-Switching Model Using an Inverse Stieltjes Moment Approach (X Xi, M R Rodrigo and R S Mamon)An Optimal Inventory-Price Coordination Policy (H Zhang and Q Zhang) Readership: Researchers and professionals in stochastic processes, analysis, filtering and control. Keywords:Stochastic Processes;Filtering;Stochastic Control;Stochastic Analysis;Mathematical Finance;Actuarial Sciences;EngineeringKey Features:This is a festschrift of Professor Robert J Elliott, who is a world leader in the areas of stochastic processes, filtering, control as well as their applicationsIncludes contributions of many world-leading scholars in the fieldsContain many original and fundamental results in the fields rare in competing titles
Book Synopsis Lectures In The Microeconomics Of Choice: Foundations, Consumers, And Producers by : William David Anthony Bryant
Download or read book Lectures In The Microeconomics Of Choice: Foundations, Consumers, And Producers written by William David Anthony Bryant and published by World Scientific. This book was released on 2023-02-17 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: People pursue their own interests, whatever those interests might be. Some people have interests that are narrow and selfish, while others have interests that are broad and altruistic. The idea that people are self-interested underpins all of economic analysis and raises two fundamental questions: 1. How do people choose the actions they think will further their own interests? 2. Can the potentially conflicting interests of different people be made to 'mesh' in some sort of socio-economic equilibrium? This book is devoted to a detailed study of the first question. Its Companion Volume (Economy-Wide Microeconomics: Equilibrium, Optimality, Applications and Tests) makes a detailed study of the second question.Following some foundational remarks, this book studies the Arrow-Debreu theory of consumer choice. That theory supposes people choose so as to maximize a complete, continuous, transitive, and reflexive binary preference relation over a non-empty and compact choice set. The book then studies numerous refinements, generalizations and extensions of each of these restrictions — up to and including recent work on Behavioral theories of choice and choice behaviour when preferences are intransitive/incomplete/discontinuous. Also considered is choice behaviour in environments that are not necessarily compact. A study is also made of intertemporal choice and choice under uncertainty. The study of Arrow-Debreu choice theory and its extensions are presented from the Primal, Dual, and Revealed Preference points of view.Consumers are not the only agents in the economy, as Producers are present as well. Beginning with a study of the Arrow-Debreu idea that producers choose from a convex production set so as to maximize profit, the book considers extensions and generalizations of this framework, particularly to non-convex environments. The study is presented from the Primal and Dual points of view.The final chapter in the book provides a link to its Companion Volume. The Chapter indicates how the theories of consumer and producer choice studied here help inform answers of the second question posed above.Resources are available to instructors who adopt this book. More details at www.worldscientific.com/worldscibooks/10.1142/12789-sm
