Download or read book Estimating a Covariance Matrix for Market Risk Management and the Case of Credit Default Swaps written by Richard Neuberg and published by . This book was released on 2018 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: We analyze covariance matrix estimation from the perspective of market risk management, where the goal is to obtain accurate estimates of portfolio risk across essentially all portfolios--even those with small standard deviations. We propose a simple but effective visualization tool to assess bias across a wide range of portfolios. We employ a portfolio perspective to determine covariance matrix loss functions particularly suitable for market risk management. Proper regularization of the covariance matrix estimate significantly improves performance. These methods are applied to credit default swaps, for which covariance matrices are used to set portfolio margin requirements for central clearing. Among the methods we test, the graphical lasso estimator performs particularly well. The graphical lasso and a hierarchical clustering estimator also yield economically meaningful representations of market structure through a graphical model and a hierarchy, respectively.

Download or read book An Introduction to Value at Risk written by Moorad Choudhry and published by John Wiley & Sons. This book was released on 2007-01-11 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The value-at-risk measurement methodology is a widely-used tool in financial market risk management. The fourth edition of Professor Moorad Choudhry’s benchmark reference text An Introduction to Value-at-Risk offers an accessible and reader-friendly look at the concept of VaR and its different estimation methods, and is aimed specifically at newcomers to the market or those unfamiliar with modern risk management practices. The author capitalises on his experience in the financial markets to present this concise yet in-depth coverage of VaR, set in the context of risk management as a whole. Topics covered include: Defining value-at-risk Variance-covariance methodology Monte Carlo simulation Portfolio VaR Credit risk and credit VaR Topics are illustrated with Bloomberg screens, worked examples, exercises and case studies. Related issues such as statistics, volatility and correlation are also introduced as necessary background for students and practitioners. This is essential reading for all those who require an introduction to financial market risk management and value-at-risk.

Download or read book Risk Management written by M. A. H. Dempster and published by Cambridge University Press. This book was released on 2002-01-10 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of derivative products in risk management has spread from commodities, stocks and fixed income items, to such virtual commodities as energy, weather and bandwidth. All this can give rise to so-called volatility and there has been a consequent development in formal risk management techniques to cover all types of risk: market, credit, liquidity, etc. One of these techniques, Value at Risk, was developed specifically to help manage market risk over short periods. Its success led, somewhat controversially, to its take up and extension to credit risk over longer time-scales. This extension, ultimately not successful, led to the collapse of a number of institutions. The present book, which was originally published in 2002, by some of the leading figures in risk management, examines the complex issues that concern the stability of the global financial system by presenting a mix of theory and practice.

Download or read book Financial Risk Management written by Jimmy Skoglund and published by John Wiley & Sons. This book was released on 2015-09-08 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: A global banking risk management guide geared toward the practitioner Financial Risk Management presents an in-depth look at banking risk on a global scale, including comprehensive examination of the U.S. Comprehensive Capital Analysis and Review, and the European Banking Authority stress tests. Written by the leaders of global banking risk products and management at SAS, this book provides the most up-to-date information and expert insight into real risk management. The discussion begins with an overview of methods for computing and managing a variety of risk, then moves into a review of the economic foundation of modern risk management and the growing importance of model risk management. Market risk, portfolio credit risk, counterparty credit risk, liquidity risk, profitability analysis, stress testing, and others are dissected and examined, arming you with the strategies you need to construct a robust risk management system. The book takes readers through a journey from basic market risk analysis to major recent advances in all financial risk disciplines seen in the banking industry. The quantitative methodologies are developed with ample business case discussions and examples illustrating how they are used in practice. Chapters devoted to firmwide risk and stress testing cross reference the different methodologies developed for the specific risk areas and explain how they work together at firmwide level. Since risk regulations have driven a lot of the recent practices, the book also relates to the current global regulations in the financial risk areas. Risk management is one of the fastest growing segments of the banking industry, fueled by banks' fundamental intermediary role in the global economy and the industry's profit-driven increase in risk-seeking behavior. This book is the product of the authors' experience in developing and implementing risk analytics in banks around the globe, giving you a comprehensive, quantitative-oriented risk management guide specifically for the practitioner. Compute and manage market, credit, asset, and liability risk Perform macroeconomic stress testing and act on the results Get up to date on regulatory practices and model risk management Examine the structure and construction of financial risk systems Delve into funds transfer pricing, profitability analysis, and more Quantitative capability is increasing with lightning speed, both methodologically and technologically. Risk professionals must keep pace with the changes, and exploit every tool at their disposal. Financial Risk Management is the practitioner's guide to anticipating, mitigating, and preventing risk in the modern banking industry.

Download or read book Estimating the Covariance Matrix from Unsynchronized High Frequency Financial Data Classic Reprint written by Bin Zhou and published by Forgotten Books. This book was released on 2018-02-23 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Estimating the Covariance Matrix From Unsynchronized High Frequency Financial Data The estimation of the covariance matrix of financial prices is necessary in port folio optimization and risk management. Besides sample covariance, many other estimators have been proposed (stein 1975, Dey and Srinivasan However, estimating the covariance matrix from daily data can have serious problems. Jobson and Korkie (1980) indicated that, in some cases, it is better to use the identical matrix instead of the sample covariance matrix in the port folio selection. The problem is that the number of observations is not enough to estimate all entries of a big covariance matrix. To get around the problem, one may want to collect more data over longer time interval. However, the changing condition of markets may prevent us to do so. Another approach is to impose constrains on the covariance matrix to reduce the number of free parameters (frost and Savaino, The constrain may be subjective and not reflect the reality of the market. This paper explores another possibility of using high frequency data. Because of fast-growing computer power, data is now available in ultra - high frequency, such as tick-by - tick. Exchange rates, for example, can easily have over one million observations in one year. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book The Fundamentals of Risk Measurement written by Christopher Marrison and published by McGraw Hill Professional. This book was released on 2002-06-27 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: TABLE OF CONTENTS Chapter 1: The Basics of Risk Management This chapter introduces how banks work. It describes how they make money, how they often lose money, and how they try to manage their losses. It includes thirteen short case studies showing how banks have lost money. Chapter 2: Risk Measurement at the Corporate Level: Economic Capital and RAROC Chapter Two discusses the meaning of capital and how the risks that a bank faces are related to the amount of capital that the bank should hold. It then describes the two fundamental building blocks of integrated risk measurement: Economic Capital and Risk Adjusted Return on Capital (RAROC). Chapter 3: Review of Statistics Chapter Three is useful for those readers who do not have a recent working knowledge of statistics. It reviews the statistical relationships that are commonly used in risk measurement and provides reference material for the rest of the book. Examples are provided using financial loss data. MARKET RISK SECTION Chapter 4: Background on Traded Instruments This chapter gives an overview of the main types of traded instruments: bonds, equities and derivatives. It gives a qualitative description of the instrument, examples of calculating the instrument’s value and the basic risk metrics such as duration and the Greeks. This chapter is useful for those readers who are new to the finance industry. Chapter 5: Market Risk Measurement This chapter describes the most common ways to measure market risks: Sensitivity analysis, Stress testing, Scenario testing, Sharpe Ratio and Value at Risk. It gives detailed examples of using each of the metrics. Chapter 6: The Three Common Approaches for Calculating Value at Risk Value at Risk (VaR) has become the standard approach for measuring market risk. This chapter is devoted to explaining the details of the three common approaches to calculating VaR: Parametric VaR, Historical VaR and Monte Carlo VaR. We work though increasingly complex examples and compare the strengths of each approach. (Note: many readers will be particularly interested in this chapter because the name “VaR” is well known and has a certain mystery) Chapter 7: Value at Risk Contribution The Value at Risk Contribution (VaRC) is a useful way of pinpointing the source of the portfolio’s risk. VaRC can break down the risk by instrument, trading desk or market risk factor. Examples are given for several types of VaRC. Chapter 8: Testing VaR Results to Ensure Proper Risk Measurement This chapter discusses the procedures required by regulators to backtest VaR calculators to check that their predictions of losses are consistent with market events. Chapter 9: Calculating Capital for Market Risk VaR is used as the basis for calculating both Regulatory Capital and Economic Capital for Market Risks. In this chapter VaR also extended to measure the risk of Asset Management operations. Chapter 10: Overcoming VaR Limitations Although VaR is the best single metric for market risks, is has several limitations. The limitations and typical solutions are discussed in this chapter. Chapter 11: The Management of Market Risk This chapter concludes the market risk section by describing how the results of risk measurement are used by management to identify the sources of risk. It also describes the process of setting VaR Limits. (Note: readers should be particularly interested in VaR Limits because it is difficult and an important element in controlling a bank’s risk). ASSET/LIABILITY MANGEMENT SECTION Chapter 12: Introduction to Asset Liability Management Asset Liability Management (ALM) is primarily concerned with the interest rate and liquidity risks that are created when commercial banks take in short term deposits from customers and give out long term loans. This chapter describes how those risks arise and the risk characteristics of different types of deposits and loans. Chapter 13: Measurement of Interest Rate Risk for ALM This chapter discussed the primary techniques used to measure interest rate risk: Gap reports, Rate shift scenarios and Simulations Chapter 14: Funding Liquidity Risk in ALM The measurement of liquidity risk is broken into three groups: expected, unusual and crisis events. Measurement techniques are given for each group. Chapter 15: Funds Transfer Pricing and the Management of ALM Risks A key use of asset/liability measurement is the calculation of the fair price at which funds should be lent from one department to another within a bank. This is one of the keys to integrated risk measurement and is a critical component in measuring risk-adjusted profitability and setting prices to customers. A typical balance sheet is used to illustrate how transfer pricing works in detail. CREDIT RISK SECTION Chapter 16: Introduction to Credit Risk This chapter discusses the sources of credit risk and how measurement is used to manage the risks Chapter 17: Types of Credit Structure For readers who are unfamiliar with lending operations, we discuss the ways that credit exposures are structured in commercial and retail lending. It also describes the calculation of credit exposure for derivatives trading operations and gives an overview of credit derivatives. Chapter 18: Risk Measurement for a Single Facility This chapter shows how the Expected Loss and Unexpected Loss for a loan can be calculated from the Probability of Default, Loss In the Event of Default, Exposure at Default and the Grade Migration Matrix. Chapter 19: Estimating Parameter Values for Single Facilities One of the main difficulties in credit risk measurement is the estimation of values for Probability of Default, Loss Given Default and Exposure at Default. This chapter discusses estimation techniques such as Discriminant Analysis and the Merton Model. It also gives parameter values that can be used as the basis for the reader’s own models. The parameter values are used in examples to demonstrate how the credit risk calculations are used. Chapter 20: Risk Measurement For A Credit Portfolio: Part One To estimate the overall risk for a portfolio many credit instruments, we must examine the correlation between losses. This chapter describes the Covariance Credit Portfolio Model and the different approaches available for estimating default correlations. It also describes how the correlations can be used to estimate the Unexpected Loss Contribution and the Economic Capital for a single facility within a portfolio. Chapter 21: Risk Measurement For A Credit Portfolio: Part Two This chapter describes the four other widely used approaches for estimating the risk of credit portfolios: the actuarial model, the Merton-based simulation model, the macro economic default model and the macro economic cashflow model used for structured and project finance. It concludes with a section describing how the models can be combined in a unified framework to create an integrated simulation of all the bank’s risks Chapter 22: Risk Adjusted Performance and Pricing for Loans Knowing the economic capital for a loan, this chapter shows how to calculate the minimum price that should be charged to a loan customer. The analysis shows how to include multi-year effects such as grade migration. Illustrative examples are included. (Note: this chapter should be of interest to readers because loan pricing is another difficult and important subject that is rarely discussed in other books) Chapter 23: Regulatory Capital for Credit Risk The Basel Committee on Banking Supervision (often called the BIS) is planning fundamental changes to the way that banks must calculate the capital that they hold. The new calculations will be very similar to the calculations described in the rest of this book for economic capital. This chapter summarizes the history of the Capital Accords then compares the different approaches that the BIS will allow. It also gives a standard plan for implementing the new Accords. (Note: this should be of interest to readers because the shift to BIS measurement is of major importance, it will be difficult for most banks, and it must be completed by 2005) OPERATING RISK SECTION Chapter 24: Operating risk The quantification of Operating Risks is on the frontier of the industry’s understanding of risk measurement. The risk estimation approaches can be categorized as either qualitative, structural or actuarial. These approaches are described including Key Risk Indicators and the BIS approaches. INTEGRATED RISK SECTION Chapter 25: Inter-risk Diversification and Bank-Level RAROC This chapter describes how all the models are linked to calculate Economic Capital and Risk Adjusted Profitability for the Bank as a whole. It concludes with of the steps normally required to implement the bank-wide measurement of Economic Capital and RAROC.pital and RAROC.

Download or read book The Fundamental Determinants of Credit Default Risk for European Large Complex Financial Institutions written by Jiri Podpiera and published by International Monetary Fund. This book was released on 2010-06-01 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper attempts to identify the fundamental variables that drive the credit default swaps during the initial phase of distress in selected European Large Complex Financial Institutions (LCFIs). It uses yearly data over 2004 - 08 for 29 European LCFIs. The results from a dynamic panel data estimator show that LCFIs’ business models, earnings potential, and economic uncertainty (represented by market expectations about the future risks of a particular LCFI and market views on prospects for economic growth) are among the most significant determinants of credit risk. The findings of the paper are broadly consistent with those of the literature on bank failure, where the determinants of the latter include the entire CAMELS structure - that is, Capital Adequacy, Asset Quality, Management Quality, Earnings Potential, Liquidity, and Sensitivity to Market Risk. By establishing a link between the financial and market fundamentals of LCFIs and their CDS spreads, the paper offers a potential tool for fundamentals-based vulnerability and early warning system for LCFIs.

Download or read book Risk Management and Analysis written by Carol Alexander and published by . This book was released on 1998 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author/editor has produced two stand-alone or companion volumes. Only one third of the original material remains. New Markets and Products begins with two chapters on emerging markets. The book then goes on to cover markets and products of increasing complexity: standard equity and interest rate derivatives, exotic options, swap (and swaptions), volatility trading and finally credit derivatives. The contributors are all acknowledged experts in their fields: Michael Howell, Mark Fox, Ian King, Chris Rogers, Andrew Street ...

Download or read book The VAR Implementation Handbook Chapter 7 Explaining Cross Sectional Differences in Credit Default Swap Spreads An Alternative Approach Using Value at Risk written by Greg N. Gregoriou and published by McGraw Hill Professional. This book was released on 2009-02-19 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The following is a chapter from The VaR Implementation Handbook, which examines the latest strategies for measuring, managing, and modeling risk across a variety of applications. Packed with the insights, methods, and models that make experienced professionals competitive all over the world, this comprehensive guide features cutting-edge research and findings from some of the industry's most respected academics, practitioners, and consultants.

Download or read book Estimation and Forecasting of Covariance Matrices with Applications to Financial Risk Management written by 丁嘉慧 and published by . This book was released on 2019 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book International Convergence of Capital Measurement and Capital Standards written by and published by Lulu.com. This book was released on 2004 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Handbook of Financial Risk Management written by Thierry Roncalli and published by CRC Press. This book was released on 2020-04-23 with total page 1177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed over 20 years of teaching academic courses, the Handbook of Financial Risk Management can be divided into two main parts: risk management in the financial sector; and a discussion of the mathematical and statistical tools used in risk management. This comprehensive text offers readers the chance to develop a sound understanding of financial products and the mathematical models that drive them, exploring in detail where the risks are and how to manage them. Key Features: Written by an author with both theoretical and applied experience Ideal resource for students pursuing a master’s degree in finance who want to learn risk management Comprehensive coverage of the key topics in financial risk management Contains 114 exercises, with solutions provided online at www.crcpress.com/9781138501874

Download or read book BlackRock s Guide to Fixed Income Risk Management written by BlackRock, Inc. and published by John Wiley & Sons. This book was released on 2023-10-31 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: An irreplaceable roadmap to modern risk management from renowned experts on the subject Edited by a co-founder and the former Chief Risk Officer of BlackRock—the world’s largest asset manager—BlackRock’s Guide to Fixed-Income Risk Management delivers an insightful blueprint to the implementation of a comprehensive investment risk management framework for buy-side firms. Leveraging the unprecedented academic and professional experience of current and former senior leaders in BlackRock’s risk and portfolio management functions, as well as trading, financial modeling, and analytics experts, the book serves a practitioner’s guide to investment risk management, leveraging BlackRock’s risk management framework. The included chapters combine to provide chief investment officers, risk managers, portfolio managers, researchers, and compliance professionals an approach to investment risk management well-suited for today's and tomorrow's markets. The book also presents: Critical elements that underpin a strong risk management program and culture Fixed income risk management concepts and theories that can be applied to other asset classes Lessons learned from financial crises and the COVID-19 Pandemic Ideal for undergraduate students and students and scholars of business, finance, and risk management, BlackRock’s Guide to Fixed-Income Risk Management is a one-of-a-kind combination of modern theory with proven, practical risk management strategies.

Download or read book Risk Management The State of the Art written by Stephen Figlewski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very often, we associate the dawn of modern financial theory with Harry Markowitz who in the 1950s introduced the formal mathematics of probability theory to the problem of managing risk in an asset portfolio. The 1970s saw the advent of formal models for pricing options and other derivative contracts, whose primary purpose was also financial risk management and hedging. But events in the 1990s made it clear that effective risk management is a critical element for success, and indeed, for long term survival, not only for financial institutions, but also for industrial firms, and even for nonprofit organizations and governmental bodies. These recent events vividly show that the world is filled with all manner of risks, and so risk management must extend far beyond the use of standard derivative instruments in routine hedging applications. The articles in this volume cover two broad themes. One theme emphasizes methods for identifying, modeling, and hedging specific types of financial and business risks. Articles in this category consider the technology of risk measurement, such as Value at Risk and extreme value theory; new classes of risk, such as liquidity risk; new financial instruments and markets for risk management, such as derivative contracts based on weather and on catastrophic insurance risks; and finally, credit risk, which has become one of the most important areas of practical interest for risk management. The second theme stresses risk management from the perspective of the firm and the financial system as a whole. Articles in this category analyze risk management in the international arena, including payment and settlement risks and sovereign risk pricing, risk management from the regulator's viewpoint, and risk management for financial institutions. The articles in this volume examine the "State of the Art" in risk management from the standpoint of academic researchers, market analysts and practitioners, and government observers.

Download or read book Advances in Financial Risk Management written by Jonathan A. Batten and published by Springer. This book was released on 2015-12-04 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest research on measuring, managing and pricing financial risk. Three broad perspectives are considered: financial risk in non-financial corporations; in financial intermediaries such as banks; and finally within the context of a portfolio of securities of different credit quality and marketability.

Download or read book Derivatives and Internal Models written by Hans-Peter Deutsch and published by Springer Nature. This book was released on 2019-10-08 with total page 897 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its fifth edition, Derivatives and Internal Models provides a comprehensive and thorough introduction to derivative pricing, risk management and portfolio optimization, covering all relevant topics with enough hands-on, depth of detail to enable readers to develop their own pricing and risk tools. The book provides insight into modern market risk quantification methods such as variance-covariance, historical simulation, Monte Carlo, hedge ratios, etc., including time series analysis and statistical concepts such as GARCH Models or Chi-Square-distributions. It shows how optimal trading decisions can be deduced once risk has been quantified by introducing risk-adjusted performance measures and a complete presentation of modern quantitative portfolio optimization. Furthermore, all the important modern derivatives and their pricing methods are presented; from basic discounted cash flow methods to Black-Scholes, binomial trees, differential equations, finite difference schemes, Monte Carlo methods, Martingales and Numeraires, terms structure models, etc. The fifth edition of this classic finance book has been comprehensively reviewed. New chapters/content cover multicurve bootstrapping, the valuation and hedging of credit default risk that is inherently incorporated in every derivative—both of which are direct and permanent consequences of the financial crises with a large impact on our understanding of modern derivative valuation. The book will be accompanied by downloadable Excel spread sheets, which demonstrate how the theoretical concepts explained in the book can be turned into valuable algorithms and applications and will serve as an excellent starting point for the reader’s own bespoke solutions for valuation and risk management systems.

Download or read book The Mathematics of Financial Modeling and Investment Management written by Sergio M. Focardi and published by John Wiley & Sons. This book was released on 2004-03-29 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: the mathematics of financial modeling & investment management The Mathematics of Financial Modeling & Investment Management covers a wide range of technical topics in mathematics and finance-enabling the investment management practitioner, researcher, or student to fully understand the process of financial decision-making and its economic foundations. This comprehensive resource will introduce you to key mathematical techniques-matrix algebra, calculus, ordinary differential equations, probability theory, stochastic calculus, time series analysis, optimization-as well as show you how these techniques are successfully implemented in the world of modern finance. Special emphasis is placed on the new mathematical tools that allow a deeper understanding of financial econometrics and financial economics. Recent advances in financial econometrics, such as tools for estimating and representing the tails of the distributions, the analysis of correlation phenomena, and dimensionality reduction through factor analysis and cointegration are discussed in depth. Using a wealth of real-world examples, Focardi and Fabozzi simultaneously show both the mathematical techniques and the areas in finance where these techniques are applied. They also cover a variety of useful financial applications, such as: * Arbitrage pricing * Interest rate modeling * Derivative pricing * Credit risk modeling * Equity and bond portfolio management * Risk management * And much more Filled with in-depth insight and expert advice, The Mathematics of Financial Modeling & Investment Management clearly ties together financial theory and mathematical techniques.