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Value at Risk (VaR) Backtesting Techniques and P-Value Risk Decomposition Analysis

Value at Risk (VaR) Backtesting Techniques and P-Value Risk Decomposition Analysis
Author: Ali Shirazi
Publisher:
Total Pages: 15
Release: 2014
Genre:
ISBN:
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This paper presents a methodology to analyze the Value at Risk (VaR) backtesting probability values to detect the soundness of the VaR model, the integrity of the VaR input and output as well as providing information about the type of the risk that a subportfolio is exposed to in every trading day. The paper presets statistical methods to back test the number of VaR breaches when there is no or some autocorrelation in the P&L daily values. It illustrates a method to evaluate the model by backtesting all quintiles. It also presents a methodology to test the integrity of the P&L and consequently the p-values using the run test. Finally a model is presented to decompose the subportfolios' P&L risk into systematic and idiosyncratic risk using a Gaussian Copula model. The risk decomposition can be used to detect any unusual subportfolio exposures to specific risk or detect the unusual rise in the systematic risk across different subportfolios.

Measuring Market Risk with Value at Risk

Measuring Market Risk with Value at Risk
Author: Pietro Penza
Publisher: John Wiley & Sons
Total Pages: 324
Release: 2001
Genre: Business & Economics
ISBN: 9780471393139
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"This book, Measuring Market Risk with Value at Risk by Vipul Bansal and Pietro Penza, has three advantages over earlier works on the subject. First, it takes a decidedly global approach-an essential ingredient for any comprehensive work on market risk. Second, it ties the scientifically grounded, yet intuitively appealing, VaR measure to earlier, more idiosyncratic measures of market risk that are used in specific market environs (e.g., duration in fixed income). Finally, it encompasses all of the accepted approaches to calculating a VaR measure and presents them in a clearly explained fashion with supporting illustrations and completely worked-out examples." -from the Foreword by John F. Marshall, PhD, Principal, Marshall, Tucker & Associates, LLC "Measuring Market Risk with Value at Risk offers a much-needed intellectual bridge, a translation from the esoteric realm of mathematical finance to the domain of financial managers who seek guidance in applying developments from this important field of research as well as that of MBA-level graduate instruction. I believe the authors have done a commendable job of providing a carefully crafted, highly readable, and most useful work, and intend to recommend it to all those involved in business risk management applications." -Anthony F. Herbst, PhD, Professor of Finance and C.R. and D.S. Carter Chair, The University of Texas, El Paso and Founding editor of The Journal of Financial Engineering (1991-1998) "Finally there's a book that strikes a balance between rigor and application in the area of risk management in the banking industry. This innovative book is a MUST for both novices and professionals alike." -Robert P. Yuyuenyongwatana, PhD, Associate Professor of Finance, Cameron University "Measuring Market Risk with Value at Risk is one of the most complete discussions of this emerging topic in finance that I have seen. The authors develop a logical and rigorous framework for using VaR models, providing both historical references and analytical applications." -Kevin Wynne, PhD, Associate Professor of Finance, Lubin School of Business, Pace University

Market Risk Analysis, Value at Risk Models

Market Risk Analysis, Value at Risk Models
Author: Carol Alexander
Publisher: John Wiley & Sons
Total Pages: 503
Release: 2009-02-09
Genre: Business & Economics
ISBN: 0470997885
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Written by leading market risk academic, Professor Carol Alexander, Value-at-Risk Models forms part four of the Market Risk Analysis four volume set. Building on the three previous volumes this book provides by far the most comprehensive, rigorous and detailed treatment of market VaR models. It rests on the basic knowledge of financial mathematics and statistics gained from Volume I, of factor models, principal component analysis, statistical models of volatility and correlation and copulas from Volume II and, from Volume III, knowledge of pricing and hedging financial instruments and of mapping portfolios of similar instruments to risk factors. A unifying characteristic of the series is the pedagogical approach to practical examples that are relevant to market risk analysis in practice. All together, the Market Risk Analysis four volume set illustrates virtually every concept or formula with a practical, numerical example or a longer, empirical case study. Across all four volumes there are approximately 300 numerical and empirical examples, 400 graphs and figures and 30 case studies many of which are contained in interactive Excel spreadsheets available from the the accompanying CD-ROM . Empirical examples and case studies specific to this volume include: Parametric linear value at risk (VaR)models: normal, Student t and normal mixture and their expected tail loss (ETL); New formulae for VaR based on autocorrelated returns; Historical simulation VaR models: how to scale historical VaR and volatility adjusted historical VaR; Monte Carlo simulation VaR models based on multivariate normal and Student t distributions, and based on copulas; Examples and case studies of numerous applications to interest rate sensitive, equity, commodity and international portfolios; Decomposition of systematic VaR of large portfolios into standard alone and marginal VaR components; Backtesting and the assessment of risk model risk; Hypothetical factor push and historical stress tests, and stress testing based on VaR and ETL.

Value at Risk (VaR) Backtesting

Value at Risk (VaR) Backtesting
Author: Gerald Z. Katsenga
Publisher:
Total Pages: 118
Release: 2013
Genre: Finance
ISBN:
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Measuring Traded Market Risk

Measuring Traded Market Risk
Author: Colleen Cassidy
Publisher:
Total Pages: 37
Release: 1997
Genre: Bank capital
ISBN:
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The proposed market-risk capital-adequacy framework, to be implemented at the end of 1997, requires Australian banks to hold capital against market risk. A fundamental component of this framework is the opportunity for banks to use their value-at-risk (VaR) models as the basis of the market-risk capital charge. Value-at-risk measures the potential loss on a portfolio for a specified level of confidence if adverse movements in market prices were to occur. This paper examines the VaR measure and some of the techniques available for assessing the performance of a VaR model. The first section of the paper uses a simple portfolio of two spot foreign exchange positions to illustrate three of the approaches used in the calculation of a VaR measure: variance-covariance, historical simulation and Monte-Carlo simulation. It is concluded that, although VaR is a very useful tool, it is not without its shortcomings and so should be supplemented with other risk-management techniques. The second section of the paper focuses on the use of backtesting the comparison of model-generated VaR numbers with actual profits and losses for assessing the accuracy of a VaR model. Several statistical tests are demonstrated by testing daily VaR and profit and loss data obtained from an Australian bank. The paper concludes that, although the tests are not sufficiently precise to form the basis of regulatory treatment of banks' VaR results, the tests do provide useful diagnostic information for evaluating model performance.

Report on Analysis of the 260-Day Value at Risk (VAR) of Portfolio of Shares

Report on Analysis of the 260-Day Value at Risk (VAR) of Portfolio of Shares
Author: Calvin Monroe
Publisher: GRIN Verlag
Total Pages: 19
Release: 2014-02-28
Genre: Business & Economics
ISBN: 365660536X
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Scientific Essay from the year 2012 in the subject Business economics - Investment and Finance, grade: B, King`s College London, language: English, abstract: For quite a long time now the main concern for investors as well as regulators of financial markets has been the risk of catastrophic market and the sufficiency of capital needed to counter such kind of risk when it occurs. Many institutions have undergone loses despite their gigantic nature and good forecasting and this has been associated with inappropriate forms of pricing and poor management together with the fraudulent cases, factors that have always brought the issue of managing risk and regulating these financial markets to the level of public policy as well as discussion. A basic tool that has been identified as being effective in the assessment of financial risk is the Value at Risk (VaR) process (Artzner, et al., 1997). The VaR has been figured out as being an amount that is lost on a given form of portfolio including a small probability in a certain fixed period of time counted in terms of days. VaR however poses a major challenge during its implementation and this has more to do with the specification of the kind of probability distribution having extreme returns that is made use of during the calculation of the estimates used in the VaR analysis (Mahoney, 1996; McNeil & Frey, 2000; Dowd, 2001). As has been noted, the nature of VaR estimation majorly does depend on the accurate predictions of some uncommon events or risks that are catastrophic. This is attributed to the fact that VaR is a calculation made from the lowest portfolio returns. For this reason, any form of calculation that is employed in the estimation of VaR must be able to encompass the tail events’ prediction and make this its primary goal (Chiang, et al., 2007; Engle, 2002; Engle & Kroner, 1995; Engle & Rothschild, 1990; Francis, et al., 2001). There have been statistical techniques as well as thumb rules that many researchers argue as having been very instrumental in the prediction and analysis of intra-day and in most cases day-to-day risk. These are however; not appropriate for the analysis of VaR. The predictions of VaR now fall under parametric predictions that encompass conditional volatilities and non-parametric prediction that incorporate the unconditional volatilities (Jorion, 2006; Jorion, 2007).

Mastering Value at Risk

Mastering Value at Risk
Author: Cormac Butler
Publisher: Financial Times/Prentice Hall
Total Pages: 264
Release: 1999
Genre: Business & Economics
ISBN: 9780273637523
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Value at Risk (VAR) is rapidly emerging as the dominant methodology for estimating precisely how much money is at risk each day in the financial markets. This book provides an objective view of VAR, analyzing its pitfalls and benefits.

The VAR Implementation Handbook

The VAR Implementation Handbook
Author: Greg N. Gregoriou
Publisher: McGraw Hill Professional
Total Pages: 562
Release: 2009-03-15
Genre: Business & Economics
ISBN: 0071615148
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[flap] For investors, risk is about the odds of losing money, and Value at Risk (VaR) is grounded in that common-sense fact. VAR modeling answers, “What is my worst-case scenario?” and “How much could I lose in a really bad month?” However, there has not been an effective guidebook available to help investors and financial managers make their own VaR calculations--until now. The VaR Implementation Handbook is a hands-on road map for professionals who have a solid background in VaR but need the critical strategies, models, and insights to apply their knowledge in the real world. Heralded as “the new science of risk management,” VaR has emerged as the dominant methodology used by financial institutions and corporate treasuries worldwide for estimating precisely how much money is at risk each day in the financial markets. The VaR Implementation Handbook picks up where other books on the subject leave off and demonstrates how, with proper implementation, VaR can be a valuable tool for assessing risk in a variety of areas-from equity to structured and operational products. This complete guide thoroughly covers the three major areas of VaR implementation--measuring, modeling risk, and managing--in three convenient sections. Savvy professionals will keep this handbook at their fingertips for its: Reliable advice from 40 recognized experts working in universities and financial institutions around the world Effective methods and measures to ensure that implemented VaR models maintain optimal performance Up-to-date coverage on newly exposed areas of volatility, including derivatives Real-world prosperity requires making informed financial decisions. The VaR Implementation Handbook is a step-by-step playbook to getting the most out of VaR modeling so you can successfully manage financial risk.

Comparative Analysis of Value at Risk (VAR) Methods for Portfolio with Non-Linear Return

Comparative Analysis of Value at Risk (VAR) Methods for Portfolio with Non-Linear Return
Author: Manohar Lal
Publisher:
Total Pages: 14
Release: 2013
Genre:
ISBN:
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In this study various value at risk methods such as Historical Simulation, Variance-Covariance Approach and Monte Carlo Simulation are calculated, compared and tested for accuracy. Backtesting for the VaR methods is applied to check the accuracy of the VaR methods. The portfolio includes equally weighted three banking stock and one at-the-money (ATM) call option for one of the banking stock in the portfolio. The log return for the portfolio and individual investments are calculated. Different VaR calculation methods are used to calculate the downside risk of the portfolio and individual investments. VaR is calculated at 95% and 99% confidence level for the portfolio and individual securities. The value at risk for the portfolio at 95% confidence level from all the three methods are within the defined level of downside risk, while at 99% confidence level only Mote Carlo Simulation method provides good approximation of downside risk for a portfolio with options. Thus from this study it is inferred that for instrument or portfolio with non-linear return structure Monte Carlo simulation method provide good approximation of the downside risk.

Value at Risk, 3rd Ed.

Value at Risk, 3rd Ed.
Author: Philippe Jorion
Publisher: McGraw Hill Professional
Total Pages: 624
Release: 2006-11-09
Genre: Business & Economics
ISBN: 0071736921
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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.