A Probability Metrics Approach to Financial Risk Measures

A new look at weak-convergence methods in metric spaces-from a master of probability theory In this new edition, Patrick Billingsley updates his classic work Convergence of Probability Measures to reflect developments of the past thirty years. Widely known for his straightforward approach and reader-friendly style, Dr. Billingsley presents a clear, precise, up-to-date account of probability limit theory in metric spaces. He incorporates many examples and applications that illustrate the power and utility of this theory in a range of disciplines-from analysis and number theory to statistics, engineering, economics, and population biology. With an emphasis on the simplicity of the mathematics and smooth transitions between topics, the Second Edition boasts major revisions of the sections on dependent random variables as well as new sections on relative measure, on lacunary trigonometric series, and on the Poisson-Dirichlet distribution as a description of the long cycles in permutations and the large divisors of integers. Assuming only standard measure-theoretic probability and metric-space topology, Convergence of Probability Measures provides statisticians and mathematicians with basic tools of probability theory as well as a springboard to the «industrial-strength» literature available today.

Models and methods for operational risks assessment and mitigation are gaining importance in financial institutions, healthcare organizations, industry, businesses and organisations in general. This book introduces modern Operational Risk Management and describes how various data sources of different types, both numeric and semantic sources such as text can be integrated and analyzed. The book also demonstrates how Operational Risk Management is synergetic to other risk management activities such as Financial Risk Management and Safety Management. Operational Risk Management: a practical approach to intelligent data analysis provides practical and tested methodologies for combining structured and unstructured, semantic-based data, and numeric data, in Operational Risk Management (OpR) data analysis. Key Features: The book is presented in four parts: 1) Introduction to OpR Management, 2) Data for OpR Management, 3) OpR Analytics and 4) OpR Applications and its Integration with other Disciplines. Explores integration of semantic, unstructured textual data, in Operational Risk Management. Provides novel techniques for combining qualitative and quantitative information to assess risks and design mitigation strategies. Presents a comprehensive treatment of «near-misses» data and incidents in Operational Risk Management. Looks at case studies in the financial and industrial sector. Discusses application of ontology engineering to model knowledge used in Operational Risk Management. Many real life examples are presented, mostly based on the MUSING project co-funded by the EU FP6 Information Society Technology Programme. It provides a unique multidisciplinary perspective on the important and evolving topic of Operational Risk Management. The book will be useful to operational risk practitioners, risk managers in banks, hospitals and industry looking for modern approaches to risk management that combine an analysis of structured and unstructured data. The book will also benefit academics interested in research in this field, looking for techniques developed in response to real world problems.

Financial risk management has become a popular practice amongst financial institutions to protect against the adverse effects of uncertainty caused by fluctuations in interest rates, exchange rates, commodity prices, and equity prices. New financial instruments and mathematical techniques are continuously developed and introduced in financial practice. These techniques are being used by an increasing number of firms, traders and financial risk managers across various industries. Risk and Financial Management: Mathematical and Computational Methods confronts the many issues and controversies, and explains the fundamental concepts that underpin financial risk management. Provides a comprehensive introduction to the core topics of risk and financial management. Adopts a pragmatic approach, focused on computational, rather than just theoretical, methods. Bridges the gap between theory and practice in financial risk management Includes coverage of utility theory, probability, options and derivatives, stochastic volatility and value at risk. Suitable for students of risk, mathematical finance, and financial risk management, and finance practitioners. Includes extensive reference lists, applications and suggestions for further reading. Risk and Financial Management: Mathematical and Computational Methods is ideally suited to both students of mathematical finance with little background in economics and finance, and students of financial risk management, as well as finance practitioners requiring a clearer understanding of the mathematical and computational methods they use every day. It combines the required level of rigor, to support the theoretical developments, with a practical flavour through many examples and applications.

In Financial Risk Taking, trader and psychologist Mike Elvin explores the complex relationship between human behaviour patterns and the markets, offering the reader a context in which to assess their own strengths and weaknesses as investors. The book offers an apposite and uncomplicated system of skills development in the form of competences and competencies that can be applied anywhere along the continuum from casual investor to full-time day trader. Elvin presents a Comprehensive Model of Trading Competence (the MOT) as well as the concepts of analysis and refutation, the paramouncy principle, and self-sabotaging behaviours such as the Santa Claus syndrome and Bohica effect. Areas covered include: Emotions – are they functional or disabling? How do the mechanisms of fear, greed and panic work? Motivation and perception – how do belief paradigms affect perception and performance? What perceptual errors influence decisions to the trader's detriment? Information processing and risk assessment – how does information overload affect Stress How does stress affect investment decisions? Technological and mathematical anxiety – why do we avoid learning the skills we most need? What levels of ability are required? Can psychological and biological theories assist in our understanding of investors' performance?

An engaging and comprehensive look at the intersection of financial innovation and the environment This unique book provides readers with a comprehensive look at the new markets being created to help companies manage environmental risks, including weather derivatives, catastrophe bonds, and emission trading permits. Filled with real-world case studies and timely advice, Environmental Finance contains corporate strategies that financial service professionals as well as their clients must understand in order to proactively improve a company's environmental performance.

An essential guide to financial risk management as well as the only way to ace the GARP FRM Exam The Financial Risk Management Exam (FRM Exam) was developed by the Global Association of Risk Professionals (GARP) as a means of establishing an industry standard of minimum professional competence in the field. It is given annually in November for risk professionals who want to earn FRM certification. Authored by renowned financial risk management guru Phillipe Jorion, with the full support of the GARP, this is the definitive guide for those preparing to take the FRM Exam. With the help of questions (and solutions) taken from previous exams, Jorion coaches readers on quantitative methods, capital markets, and market, credit, operational, and risk management concepts and assessment techniques. In addition to being the indispensable guide for those aspiring to FRM certification, Financial Risk Manager Handbook also serves as a valued working reference for risk professionals. Phillipe Jorion, PhD (Irvine, CA), is a Professor of Finance at the Graduate School of Management at UC Irvine. He has also taught at Columbia University, Northwestern University, the University of Chicago, and the University of British Columbia.

The essential reference for financial risk management Filled with in-depth insights and practical advice, the Financial Risk Manager Handbook is the core text for risk management training programs worldwide. Presented in a clear and consistent fashion, this completely updated Fifth Edition-which comes with an interactive CD-ROM containing hundreds of multiple-choice questions from previous FRM exams-is one of the best ways to prepare for the Financial Risk Manager (FRM) exam. Financial Risk Manager Handbook, Fifth Edition supports candidates studying for the Global Association of Risk Professional's (GARP) annual FRM exam and prepares you to assess and control risk in today's rapidly changing financial world. Authored by renowned risk management expert Philippe Jorion-with the full support of GARP-this definitive guide summarizes the core body of knowledge for financial risk managers. Offers valuable insights on managing market, credit, operational, and liquidity risk Examines the importance of structured products, futures, options, and other derivative instruments Identifies regulatory and legal issues Addresses investment management and hedge fund risk Financial Risk Manager Handbook is the most comprehensive guide on this subject, and will help you stay current on best practices in this evolving field. The FRM Handbook is the official reference book for GARP's FRM® certification program. Note: CD-ROM/DVD and other supplementary materials are not included as part of eBook file.

An authoritative handbook on risk management techniques and simulations as applied to financial engineering topics, theories, and statistical methodologies The Handbook of Financial Risk Management: Simulations and Case Studies illustrates the prac­tical implementation of simulation techniques in the banking and financial industries through the use of real-world applications. Striking a balance between theory and practice, the Handbook of Financial Risk Management: Simulations and Case Studies demonstrates how simulation algorithms can be used to solve practical problems and showcases how accuracy and efficiency in implementing various simulation methods are indispensable tools in risk management. The book provides the reader with an intuitive understanding of financial risk management and deepens insight into those financial products that cannot be priced traditionally. The Handbook of Financial Risk Management also features: Examples in each chapter derived from consulting projects, current research, and course instruction Topics such as volatility, fixed-income derivatives, LIBOR Market Models, and risk measures Over twenty-four recognized simulation models Commentary, data sets, and computer subroutines available on a chapter-by-chapter basis As a complete reference for practitioners, the book is useful in the fields of finance, business, applied statistics, econometrics, and engineering. The Handbook of Financial Risk Management is also an excellent text or supplement for graduate and MBA-level students in courses on financial risk management and simulation.

The most complete, up-to-date guide to risk management in finance Risk Management and Financial Institutions, Fifth Edition explains all aspects of financial risk and financial institution regulation, helping you better understand the financial markets—and their potential dangers. Inside, you’ll learn the different types of risk, how and where they appear in different types of institutions, and how the regulatory structure of each institution affects risk management practices. Comprehensive ancillary materials include software, practice questions, and all necessary teaching supplements, facilitating more complete understanding and providing an ultimate learning resource. All financial professionals need to understand and quantify the risks associated with their decisions. This book provides a complete guide to risk management with the most up to date information. • Understand how risk affects different types of financial institutions • Learn the different types of risk and how they are managed • Study the most current regulatory issues that deal with risk • Get the help you need, whether you’re a student or a professional Risk management has become increasingly important in recent years and a deep understanding is essential for anyone working in the finance industry; today, risk management is part of everyone's job. For complete information and comprehensive coverage of the latest industry issues and practices, Risk Management and Financial Institutions, Fifth Edition is an informative, authoritative guide.

An insightful examination of the numerical methods used to develop finite element methods A Variational Approach to Structural Analysis provides readers with the underpinnings of the finite element method (FEM) while highlighting the power and pitfalls of virtual methods. In an easy-to-follow, logical format, this book gives complete coverage of the principle of virtual work, complementary virtual work and energy methods, and static and dynamic stability concepts. The first two chapters prepare the reader with preliminary material, introducing in detail the variational approach used in the book as well as reviewing the equilibrium and compatibility equations of mechanics. The next chapter, on virtual work, teaches how to use kinematical formulations for the determination of the required strain relationships for straight, curved, and thin walled beams. The chapters on complementary virtual work and energy methods are problem-solving chapters that incorporate Castigliano's first theorem, the Engesser-Crotti theorem, and the Galerkin method. In the final chapter, the reader is introduced to various geometric measures of strain and revisits straight, curved, and thin walled beams by examining them in a deformed geometry. Based on nearly two decades of work on the development of the world's most used FEM code, A Variational Approach to Structural Analysis has been designed as a self-contained, single-source reference for mechanical, aerospace, and civil engineering professionals. The book's straightforward style also provides accessible instruction for graduate students in aeronautical, civil, mechanical, and engineering mechanics courses.