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Evaluating Value at Risk Methodologies

Evaluating Value at Risk Methodologies PDF Author: Matt Pritsker
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
Recent research has shown that different methods of computing Value at Risk (VAR) generate widely varying results, suggesting the choice of VAR methods is very important. This paper examines six VAR methods, and compares their computational time requirements and their accuracy when the sole source of inaccuracy is errors in approximating nonlinearity. Simulations using portfolios of foreign exchange options show showed fairly wide variation in accuracy and unsurprisingly wide variation in computational time. When the computational time and the accuracy of the methods were examined together, four methods were superior to the others. The paper also presents a new method for using order statistics to create confidence intervals for the errors and errors as a percent of true value at risk for each VAR method. This makes it possible to easily interpret the implications of VAR errors for the size of shortfalls or surpluses in a firm's risk based capital.

Evaluating Value at Risk Methodologies

Evaluating Value at Risk Methodologies PDF Author: Matt Pritsker
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
Recent research has shown that different methods of computing Value at Risk (VAR) generate widely varying results, suggesting the choice of VAR methods is very important. This paper examines six VAR methods, and compares their computational time requirements and their accuracy when the sole source of inaccuracy is errors in approximating nonlinearity. Simulations using portfolios of foreign exchange options show showed fairly wide variation in accuracy and unsurprisingly wide variation in computational time. When the computational time and the accuracy of the methods were examined together, four methods were superior to the others. The paper also presents a new method for using order statistics to create confidence intervals for the errors and errors as a percent of true value at risk for each VAR method. This makes it possible to easily interpret the implications of VAR errors for the size of shortfalls or surpluses in a firm's risk based capital.

Value at Risk Methodologies

Value at Risk Methodologies PDF Author: Simin Dong
Publisher:
ISBN:
Category : Financial risk managment
Languages : en
Pages : 88

Book Description
Value at Risk (VaR) is a useful concept in risk disclosure, especially for financial institutions. In this paper, the origin and development as well as the regulatory requirement of VaR are discussed. Furthermore, a hypothetical foreign currency forward contract is used as an example to illustrate the implementation of VaR. Back testing is conducted to test the soundness of each VaR model. Analysis in this paper shows that historical simulation and Monte Carlo simulation approaches have more advantages than the delta-normal approach based on the fact that these two approaches capture the option involved portfolio features and pass three back testing models which are used to test the soundness of the VaR models.

Evaluation of Value at Risk Models

Evaluation of Value at Risk Models PDF Author: P.A. Naidu
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659483769
Category :
Languages : en
Pages : 140

Book Description
This book gives an overview of evaluation of the most widespread Value at Risk (VaR)Models in use in most of risk management departments across the financial industry.Value at Risk (VaR) has become the standard measure that financial analysts use to quantify market risk. VaR is defined as the maximum potential change in value of a portfolio of financial instruments with a given probability over a certain horizon. VaR measures can have many applications, such as in risk management, to evaluate the performance of risk takers and for regulatory requirements, and hence it is very important to develop methodologies that provide accurate estimates.The main objective of this book is to survey the most popular univariate VaR methodologies, paying particular attention to their underlying assumptions. The great popularity that this instrument has achieved is essentially due to its conceptual simplicity: VaR reduces the (market) risk associated with any portfolio to just one number, the loss associated to a given probability. VaR can also be applied to governance of endowments, trusts, and pension plans. Essentially trustees adopt portfolio VaR metrics for the entire pooled account.

Methods for Evaluating Value-at-Risk Estimates

Methods for Evaluating Value-at-Risk Estimates PDF Author: Jose A. Lopez
Publisher:
ISBN:
Category :
Languages : en
Pages : 6

Book Description
As implemented in the United States, the market risk amendment to the Basle Capital Accord requires that commercial banks with significant trading activity provide their regulators with VaR estimates from their own internal models. The VaR estimates will be used to determine the banks' market risk capital requirements. This development clearly indicates the importance of evaluating the accuracy of VaR estimates from a regulatory perspective.

Implementing Value at Risk

Implementing Value at Risk PDF Author: Philip Best
Publisher: John Wiley & Sons
ISBN: 0470865962
Category : Business & Economics
Languages : en
Pages : 224

Book Description
Implementing Value at Risk Philip Best Value at Risk (VAR) is an estimate of the potential loss on a trading or investment portfolio. Its use has swept the banking world and is now accepted as an essential tool in any risk manager's briefcase. Perhaps the greatest strength of VAR is that it can cope with virtually all financial products, from simple securities through to complex exotic derivatives. This allows the risk taken, across diverse trading activities, to be compared. This said, VAR is no panacea. It is as critical to understand when the use of VAR is inappropriate as it is to understand the value VAR can add to a bank's understanding and control of its risks. This book aims to explain how VAR can be used as an integral part of a risk and business management framework, rather than as a stand-alone tool. The objectives of this book are to explain: What VAR is - and isn't! How to calculate VAR - the three main methods Why stress testing is needed to complement VAR How to make stress testing effective How to use VAR and stress testing to manage risk How to use VAR to improve a bank's performance VAR as a regulatory measure of risk and capital Risk management practitioners, general bank managers, consultants and students of finance and risk management will find this book, and the software package included, an invaluable addition to their library. Finance/Investment

Value at Risk, 3rd Ed.

Value at Risk, 3rd Ed. PDF Author: Philippe Jorion
Publisher: McGraw Hill Professional
ISBN: 0071736921
Category : Business & Economics
Languages : en
Pages : 624

Book Description
Since its original publication, Value at Risk has become the industry standard in risk management. Now in its Third Edition, this international bestseller addresses the fundamental changes in the field that have occurred across the globe in recent years. Philippe Jorion provides the most current information needed to understand and implement VAR-as well as manage newer dimensions of financial risk. Featured updates include: An increased emphasis on operational risk Using VAR for integrated risk management and to measure economic capital Applications of VAR to risk budgeting in investment management Discussion of new risk-management techniques, including extreme value theory, principal components, and copulas Extensive coverage of the recently finalized Basel II capital adequacy rules for commercial banks, integrated throughout the book A major new feature of the Third Edition is the addition of short questions and exercises at the end of each chapter, making it even easier to check progress. Detailed answers are posted on the companion web site www.pjorion.com/var/. The web site contains other materials, including additional questions that course instructors can assign to their students. Jorion leaves no stone unturned, addressing the building blocks of VAR from computing and backtesting models to forecasting risk and correlations. He outlines the use of VAR to measure and control risk for trading, for investment management, and for enterprise-wide risk management. He also points out key pitfalls to watch out for in risk-management systems. The value-at-risk approach continues to improve worldwide standards for managing numerous types of risk. Now more than ever, professionals can depend on Value at Risk for comprehensive, authoritative counsel on VAR, its application, and its results-and to keep ahead of the curve.

Elements of Financial Risk Management

Elements of Financial Risk Management PDF Author: Peter Christoffersen
Publisher: Academic Press
ISBN: 0123744482
Category : Business & Economics
Languages : en
Pages : 346

Book Description
The Second Edition of this best-selling book expands its advanced approach to financial risk models by covering market, credit, and integrated risk. With new data that cover the recent financial crisis, it combines Excel-based empirical exercises at the end of each chapter with online exercises so readers can use their own data. Its unified GARCH modeling approach, empirically sophisticated and relevant yet easy to implement, sets this book apart from others. Five new chapters and updated end-of-chapter questions and exercises, as well as Excel-solutions manual, support its step-by-step approach to choosing tools and solving problems. Examines market risk, credit risk, and operational risk Provides exceptional coverage of GARCH models Features online Excel-based empirical exercises

Handbook of Analytic Computational Methods in Applied Mathematics

Handbook of Analytic Computational Methods in Applied Mathematics PDF Author: George Anastassiou
Publisher: CRC Press
ISBN: 0429525117
Category : Mathematics
Languages : en
Pages : 413

Book Description
Working computationally in applied mathematics is the very essence of dealing with real-world problems in science and engineering. Approximation theory-on the borderline between pure and applied mathematics- has always supplied some of the most innovative ideas, computational methods, and original approaches to many types of problems. The f

What are the chances and limitations of value-at-risk (VaR) models?

What are the chances and limitations of value-at-risk (VaR) models? PDF Author: Alexander Linn
Publisher: GRIN Verlag
ISBN: 3638503291
Category : Business & Economics
Languages : en
Pages : 76

Book Description
Seminar paper from the year 2004 in the subject Business economics - Controlling, grade: 1,7, European Business School - International University Schloß Reichartshausen Oestrich-Winkel (Department of Accounting and Control), language: English, abstract: The risk and return framework is generally accepted and discussed by scientists, at least since Markowitz introduced his Portfolio Theory in 1952. Subsequently, models were developed to evaluate investments under consideration of risk and return. Traditionally, practitioners primarily focused on past earnings as a measure of the profitability of an investment, without adequately considering potential risks. Therefore, the development of professional risk management systems was often neglected. Thus, the possibility of high losses was not appropriately incorporated in their investment strategies. The consequences of such mistreatment became evident in the mid 1990s, when some of the world’s largest companies faced huge losses and sometimes even insolvency. Most of these failures were a direct result of inappropriate use of financial instruments and insufficient internal control mechanisms. The most spectacular debacles even resulted in losses of more than one billion dollars for each affected institution. In case of Barings Bank, a single trader ruined the 233-year old British financial institution by inappropriate investments in high-risk futures in 1995. The consequent loss of $1.3 billion, realized in a very short period, could not be absorbed and forced the downfall of Barings. At Daiwa Bank, it was also a single trader who caused a $1.1 billion deficit. In contrast, the losses were accumulated over 11 years from 1984. Another well-publicized bankruptcy was declared in 1994 by the Californian Orange County, after losses of $1.8 billion. Such evidence of poor risk management and control shows that proper financial risk management is crucial for all kinds of institutions in order to guarantee stability and continuity. Therefore, it is necessary to establish adequate risk management processes and to develop appropriate tools, which quantify risk exposures of both entire institutions and single financial instruments. This risk quantification should alert management early enough to prevent exceptional losses. One of the key concepts addressing these prob-lems of modern risk management was introduced in 1993 with the Value-at-Risk (VaR) models.

Financial Risk Forecasting

Financial Risk Forecasting PDF Author: Jon Danielsson
Publisher: John Wiley & Sons
ISBN: 1119977118
Category : Business & Economics
Languages : en
Pages : 307

Book Description
Financial Risk Forecasting is a complete introduction to practical quantitative risk management, with a focus on market risk. Derived from the authors teaching notes and years spent training practitioners in risk management techniques, it brings together the three key disciplines of finance, statistics and modeling (programming), to provide a thorough grounding in risk management techniques. Written by renowned risk expert Jon Danielsson, the book begins with an introduction to financial markets and market prices, volatility clusters, fat tails and nonlinear dependence. It then goes on to present volatility forecasting with both univatiate and multivatiate methods, discussing the various methods used by industry, with a special focus on the GARCH family of models. The evaluation of the quality of forecasts is discussed in detail. Next, the main concepts in risk and models to forecast risk are discussed, especially volatility, value-at-risk and expected shortfall. The focus is both on risk in basic assets such as stocks and foreign exchange, but also calculations of risk in bonds and options, with analytical methods such as delta-normal VaR and duration-normal VaR and Monte Carlo simulation. The book then moves on to the evaluation of risk models with methods like backtesting, followed by a discussion on stress testing. The book concludes by focussing on the forecasting of risk in very large and uncommon events with extreme value theory and considering the underlying assumptions behind almost every risk model in practical use – that risk is exogenous – and what happens when those assumptions are violated. Every method presented brings together theoretical discussion and derivation of key equations and a discussion of issues in practical implementation. Each method is implemented in both MATLAB and R, two of the most commonly used mathematical programming languages for risk forecasting with which the reader can implement the models illustrated in the book. The book includes four appendices. The first introduces basic concepts in statistics and financial time series referred to throughout the book. The second and third introduce R and MATLAB, providing a discussion of the basic implementation of the software packages. And the final looks at the concept of maximum likelihood, especially issues in implementation and testing. The book is accompanied by a website - www.financialriskforecasting.com – which features downloadable code as used in the book.