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An Empirical Analysis Of The Gaussian And The Double T Copula Models For Pricing And Hedging Index Cdos
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Book Synopsis An Empirical Analysis of the Gaussian and the Double-t Copula Models for Pricing and Hedging Index CDOs by : Jan Peter Kulak
Download or read book An Empirical Analysis of the Gaussian and the Double-t Copula Models for Pricing and Hedging Index CDOs written by Jan Peter Kulak and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The Gaussian factor copula model, the standard model in today's synthetic CDO markets, has been criticized for its inability to simultaneously fit the prices of individual CDO tranches. A Double-t factor copula has been proposed as a more realistic alternative. This study inves- tigates the empirical performance of these two models under the large homogeneous portfolio approach (LHP) using a large dataset from the DJ iTraxx Europe credit index. Aside from overall model fit, we analyze the models' ability to produce adequate delta hedging programs with respect to the underlying index. Motivated by disappointing results, we experiment with a way to incorporate correlation variability in the computation of deltas. We can confirm the findings of previous studies that the Double-t copula describes market prices more realistically. A Double-t specification with three and four degrees of freedom for market and ideosyncratic factor, respectively, is found to provide the best overall fit under the LHP approach. However, the better overall fit of the model comes at a cost in terms of pricing versatility: On 65 out of the 307 days in the sample, the model cannot reproduce the market prices of the second loss tranche for any level of correlation. When JPMorgan base correlations are used, model failure is reduced to one occurrence in the dataset. The LHP Gaussian model, by contrast, exhibits no such difficulties. Judging by tracking error and RMSE, the historical delta hedging performance of both models is unsatisfactory. Neither of the models' deltas provide a convincing reduction in port- folio variability over an unhedged benchmark. And neither of the models clearly outperforms the other. Poor performance is mainly due to large implied correlation fluctuations, in par- ticular in the 2005 credit crisis. To account for this problem, we explore whether hedging performance can be improved by incorporating a relationship between implied correlati.
Book Synopsis Correlation Risk Modeling and Management by : Gunter Meissner
Download or read book Correlation Risk Modeling and Management written by Gunter Meissner and published by John Wiley & Sons. This book was released on 2013-12-19 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough guide to correlation risk and its growing importance in global financial markets Ideal for anyone studying for CFA, PRMIA, CAIA, or other certifications, Correlation Risk Modeling and Management is the first rigorous guide to the topic of correlation risk. A relatively overlooked type of risk until it caused major unexpected losses during the financial crisis of 2007 through 2009, correlation risk has become a major focus of the risk management departments in major financial institutions, particularly since Basel III specifically addressed correlation risk with new regulations. This offers a rigorous explanation of the topic, revealing new and updated approaches to modelling and risk managing correlation risk. Offers comprehensive coverage of a topic of increasing importance in the financial world Includes the Basel III correlation framework Features interactive models in Excel/VBA, an accompanying website with further materials, and problems and questions at the end of each chapter
Book Synopsis Simple Time-Varying Copula Estimation by : Wolfgang Aussenegg
Download or read book Simple Time-Varying Copula Estimation written by Wolfgang Aussenegg and published by . This book was released on 2016 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: This article examines the ability of time-varying Gaussian and Student t copulas to accurately predict the probability of joint extreme co-movements in stock index returns. Using a sample of more than 20 years of daily return observations of the Eurostoxx50 and Dow Jones Industrial stock indices, Gaussian and Student t copulas are calibrated daily on a rolling window of the 250 most recent observations. We do not make assumptions on the functional form of the marginal distributions. Thus, the focus remains on the examination of the appropriateness of the two types of copulas. One of our findings is that there are time periods when the assumption of a Gaussian copula seems to be accurate and when the hypothesis of a Gaussian copula cannot be rejected in favor of a Student t copula. In other time periods, the hypothesis of a Gaussian copula can be rejected, as it underestimates the probability of joint extreme co-movements. This time periods of joint extreme co-movements are typically associated with a higher volatility environment and higher correlations between stock index returns. In applying a hit test to examine the ability of both copulas to predict the probability of joint strongly negative returns of both indices, we reject the null hypothesis of a Gaussian copula while the null hypothesis of a Student t copula cannot be rejected.
Book Synopsis Statistics and Data Analysis for Financial Engineering by : David Ruppert
Download or read book Statistics and Data Analysis for Financial Engineering written by David Ruppert and published by Springer. This book was released on 2015-04-21 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition of this influential textbook, geared towards graduate or advanced undergraduate students, teaches the statistics necessary for financial engineering. In doing so, it illustrates concepts using financial markets and economic data, R Labs with real-data exercises, and graphical and analytic methods for modeling and diagnosing modeling errors. These methods are critical because financial engineers now have access to enormous quantities of data. To make use of this data, the powerful methods in this book for working with quantitative information, particularly about volatility and risks, are essential. Strengths of this fully-revised edition include major additions to the R code and the advanced topics covered. Individual chapters cover, among other topics, multivariate distributions, copulas, Bayesian computations, risk management, and cointegration. Suggested prerequisites are basic knowledge of statistics and probability, matrices and linear algebra, and calculus. There is an appendix on probability, statistics and linear algebra. Practicing financial engineers will also find this book of interest.
Book Synopsis Comparing Some Alternative Lévy Base Correlation Models for Pricing and Hedging Cdo Tranches by : Viktoriya Masol
Download or read book Comparing Some Alternative Lévy Base Correlation Models for Pricing and Hedging Cdo Tranches written by Viktoriya Masol and published by . This book was released on 2008 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Copula Methods in Finance by : Umberto Cherubini
Download or read book Copula Methods in Finance written by Umberto Cherubini and published by John Wiley & Sons. This book was released on 2004-10-22 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Copula Methods in Finance is the first book to address the mathematics of copula functions illustrated with finance applications. It explains copulas by means of applications to major topics in derivative pricing and credit risk analysis. Examples include pricing of the main exotic derivatives (barrier, basket, rainbow options) as well as risk management issues. Particular focus is given to the pricing of asset-backed securities and basket credit derivative products and the evaluation of counterparty risk in derivative transactions.
Book Synopsis Quantitative Methods for Economics and Finance by : J.E. Trinidad-Segovia
Download or read book Quantitative Methods for Economics and Finance written by J.E. Trinidad-Segovia and published by MDPI. This book was released on 2021-02-12 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers for the Special Issue “Quantitative Methods for Economics and Finance” of the journal Mathematics. This Special Issue reflects on the latest developments in different fields of economics and finance where mathematics plays a significant role. The book gathers 19 papers on topics such as volatility clusters and volatility dynamic, forecasting, stocks, indexes, cryptocurrencies and commodities, trade agreements, the relationship between volume and price, trading strategies, efficiency, regression, utility models, fraud prediction, or intertemporal choice.
Book Synopsis How I Became a Quant by : Richard R. Lindsey
Download or read book How I Became a Quant written by Richard R. Lindsey and published by John Wiley & Sons. This book was released on 2011-01-11 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for How I Became a Quant "Led by two top-notch quants, Richard R. Lindsey and Barry Schachter, How I Became a Quant details the quirky world of quantitative analysis through stories told by some of today's most successful quants. For anyone who might have thought otherwise, there are engaging personalities behind all that number crunching!" --Ira Kawaller, Kawaller & Co. and the Kawaller Fund "A fun and fascinating read. This book tells the story of how academics, physicists, mathematicians, and other scientists became professional investors managing billions." --David A. Krell, President and CEO, International Securities Exchange "How I Became a Quant should be must reading for all students with a quantitative aptitude. It provides fascinating examples of the dynamic career opportunities potentially open to anyone with the skills and passion for quantitative analysis." --Roy D. Henriksson, Chief Investment Officer, Advanced Portfolio Management "Quants"--those who design and implement mathematical models for the pricing of derivatives, assessment of risk, or prediction of market movements--are the backbone of today's investment industry. As the greater volatility of current financial markets has driven investors to seek shelter from increasing uncertainty, the quant revolution has given people the opportunity to avoid unwanted financial risk by literally trading it away, or more specifically, paying someone else to take on the unwanted risk. How I Became a Quant reveals the faces behind the quant revolution, offering you?the?chance to learn firsthand what it's like to be a?quant today. In this fascinating collection of Wall Street war stories, more than two dozen quants detail their roots, roles, and contributions, explaining what they do and how they do it, as well as outlining the sometimes unexpected paths they have followed from the halls of academia to the front lines of an investment revolution.
Book Synopsis Modelling Single-name and Multi-name Credit Derivatives by : Dominic O'Kane
Download or read book Modelling Single-name and Multi-name Credit Derivatives written by Dominic O'Kane and published by John Wiley & Sons. This book was released on 2011-03-08 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling Single-name and Multi-name Credit Derivatives presents an up-to-date, comprehensive, accessible and practical guide to the pricing and risk-management of credit derivatives. It is both a detailed introduction to credit derivative modelling and a reference for those who are already practitioners. This book is up-to-date as it covers many of the important developments which have occurred in the credit derivatives market in the past 4-5 years. These include the arrival of the CDS portfolio indices and all of the products based on these indices. In terms of models, this book covers the challenge of modelling single-tranche CDOs in the presence of the correlation skew, as well as the pricing and risk of more recent products such as constant maturity CDS, portfolio swaptions, CDO squareds, credit CPPI and credit CPDOs.
Book Synopsis Credit Default Swaps by : Marti Subrahmanyam
Download or read book Credit Default Swaps written by Marti Subrahmanyam and published by Now Publishers. This book was released on 2014-12-19 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Credit Default Swaps: A Survey is the most comprehensive review of all major research domains involving credit default swaps (CDS). CDS have been growing in importance in the global financial markets. However, their role has been hotly debated, in industry and academia, particularly since the credit crisis of 2007-2009. The authors review the extant literature on CDS that has accumulated over the past two decades and divide the survey into seven topics after providing a broad overview in the introduction. The second section traces the historical development of CDS markets and provides an introduction to CDS contract definitions and conventions. The third section discusses the pricing of CDS, from the perspective of no-arbitrage principles, structural, and reduced-form credit risk models. It also summarizes the literature on the determinants of CDS spreads, with a focus on the role of fundamental credit risk factors, liquidity and counterparty risk. The fourth section discusses how the development of the CDS market has affected the characteristics of the bond and equity markets, with an emphasis on market efficiency, price discovery, information flow, and liquidity. Attention is also paid to the CDS-bond basis, the wedge between the pricing of the CDS and its reference bond, and the mispricing between the CDS and the equity market. The fifth section examines the effect of CDS trading on firms' credit and bankruptcy risk, and how it affects corporate financial policy, including bond issuance, capital structure, liquidity management, and corporate governance. The sixth section analyzes how CDS impact the economic incentives of financial intermediaries. The seventh section reviews the growing literature on sovereign CDS and highlights the major differences between the sovereign and corporate CDS markets. The eighth section discusses CDS indices, especially the role of synthetic CDS index products backed by residential mortgage-backed securities during the financial crisis. The authors close with our suggestions for promising future research directions on CDS contracts and markets.
Download or read book CAIA Level I written by CAIA Association and published by John Wiley & Sons. This book was released on 2009-10-02 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: Not to be used after March, 2012 Exams – CAIA Level I, 2nd Edition should be used to prepare for September 2012 Exam. The official study text for the Level I Chartered Alternative Investment Analyst (CAIA) exam The Chartered Alternative Investment Analyst (CAIA) designation is the financial industry's first and only globally recognized program that prepares professionals to deal with the ever-growing field of alternative investments. The CAIA Level I: An Introduction to Core Topics in Alternative Investments contains all material on alternative investments that a potential Level I candidate would need to know as they prepare for the exam. The information found here will help you build a solid foundation in both traditional and alternative investment markets-for example, the range of statistics that are used to define investment performance as well as the many types of hedge fund strategies. It will also inform CAIA candidates on how to identify and describe aspects of financial markets, develop reasoning skills, and in some cases, make computations necessary to solve business problems. Contains "need to know" material for Level I candidates and for alternative investment specialists Addresses all of the unique attributes associated with the alternative investments space Organized with a study guide outline and learning objectives with key terms, available for free at www.caia.org/program/studyguides Focuses on alternative investments and quantitative techniques used by investment professionals This book is a must-have resource for anyone contemplating taking the CAIA Level I exam.
Book Synopsis Lecturing Birds on Flying by : Pablo Triana
Download or read book Lecturing Birds on Flying written by Pablo Triana and published by John Wiley & Sons. This book was released on 2009-06-09 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: LECTURING BIRDS ON FLYING For the past few decades, the financial world has often displayed an unreasonable willingness to believe that "the model is right, the market is wrong," in spite of the fact that these theoretical machinations were largely responsible for the stock market crash of 1987, the LTCM crisis of 1998, the credit crisis of 2008, and many other blow-ups, large and small. Why have both financial insiders (traders, risk managers, executives) and outsiders (academics, journalists, regulators, the public) consistently demonstrated a willingness to treat quantifications as gospel? Nassim Taleb first addressed the conflicts between theoretical and real finance in his technical treatise on options, Dynamic Hedging. Now, in Lecturing Birds on Flying, Pablo Triana offers a powerful indictment on the trustworthiness of financial theory, explaining—in jargon-free plain English—how malfunctions in these quantitative machines have wreaked havoc in our real world. Triana first analyzes the fundamental question of whether financial markets can in principle really be solved mathematically. He shows that the markets indeed cannot be tamed with equations, presenting a long and powerful list of obstacles to prove his point: maverick unlawful human actions rule the markets, unexpected and unimaginable events shape the markets, and historical data is not necessarily a trustworthy guide to the future of the markets. The author then examines the sources of origin of many prevalent theories and mathematical dictums. He details how the field of financial economics evolved from a descriptive discipline to an abstract one dedicated to technically concocting professors' own versions of how such a world should work. He goes on to explain how Wall Street and other financial centers became eager employers of scientists, and how scientists became eager employees of financial firms. Triana concludes with an in-depth discussion of the most significant historical episodes of theory-caused real-life market malaise, with a strong emphasis on the current credit crisis. In the end, Lecturing Birds on Flying calls for the radical substitution of good old-fashioned common sense in place of mathematical decision-making and the restoration to financial power of those who are completely unchained to the iron ball of classroom-obtained qualifications.
Book Synopsis Counterparty Credit Risk by : Jon Gregory
Download or read book Counterparty Credit Risk written by Jon Gregory and published by John Wiley & Sons. This book was released on 2011-09-07 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first decade of the 21st Century has been disastrous for financial institutions, derivatives and risk management. Counterparty credit risk has become the key element of financial risk management, highlighted by the bankruptcy of the investment bank Lehman Brothers and failure of other high profile institutions such as Bear Sterns, AIG, Fannie Mae and Freddie Mac. The sudden realisation of extensive counterparty risks has severely compromised the health of global financial markets. Counterparty risk is now a key problem for all financial institutions. This book explains the emergence of counterparty risk during the recent credit crisis. The quantification of firm-wide credit exposure for trading desks and businesses is discussed alongside risk mitigation methods such as netting and collateral management (margining). Banks and other financial institutions have been recently developing their capabilities for pricing counterparty risk and these elements are considered in detail via a characterisation of credit value adjustment (CVA). The implications of an institution valuing their own default via debt value adjustment (DVA) are also considered at length. Hedging aspects, together with the associated instruments such as credit defaults swaps (CDSs) and contingent CDS (CCDS) are described in full. A key feature of the credit crisis has been the realisation of wrong-way risks illustrated by the failure of monoline insurance companies. Wrong-way counterparty risks are addressed in detail in relation to interest rate, foreign exchange, commodity and, in particular, credit derivative products. Portfolio counterparty risk is covered, together with the regulatory aspects as defined by the Basel II capital requirements. The management of counterparty risk within an institution is also discussed in detail. Finally, the design and benefits of central clearing, a recent development to attempt to control the rapid growth of counterparty risk, is considered. This book is unique in being practically focused but also covering the more technical aspects. It is an invaluable complete reference guide for any market practitioner with any responsibility or interest within the area of counterparty credit risk.
Book Synopsis Market Risk Analysis, Practical Financial Econometrics by : Carol Alexander
Download or read book Market Risk Analysis, Practical Financial Econometrics written by Carol Alexander and published by John Wiley & Sons. This book was released on 2008-05-27 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by leading market risk academic, Professor Carol Alexander, Practical Financial Econometrics forms part two of the Market Risk Analysis four volume set. It introduces the econometric techniques that are commonly applied to finance with a critical and selective exposition, emphasising the areas of econometrics, such as GARCH, cointegration and copulas that are required for resolving problems in market risk analysis. The book covers material for a one-semester graduate course in applied financial econometrics in a very pedagogical fashion as each time a concept is introduced an empirical example is given, and whenever possible this is illustrated with an Excel spreadsheet. 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: Factor analysis with orthogonal regressions and using principal component factors; Estimation of symmetric and asymmetric, normal and Student t GARCH and E-GARCH parameters; Normal, Student t, Gumbel, Clayton, normal mixture copula densities, and simulations from these copulas with application to VaR and portfolio optimization; Principal component analysis of yield curves with applications to portfolio immunization and asset/liability management; Simulation of normal mixture and Markov switching GARCH returns; Cointegration based index tracking and pairs trading, with error correction and impulse response modelling; Markov switching regression models (Eviews code); GARCH term structure forecasting with volatility targeting; Non-linear quantile regressions with applications to hedging.
Book Synopsis Fixed Income Modelling by : Claus Munk
Download or read book Fixed Income Modelling written by Claus Munk and published by Oxford University Press. This book was released on 2011-06-30 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large number of securities related to various interest rates are traded in financial markets. Traders and analysts in the financial industry apply models based on economics, mathematics and probability theory to compute reasonable prices and risk measures for these securities. This book offers a unified presentation of such models and securities.
Book Synopsis Modeling Derivatives Applications in Matlab, C++, and Excel by : Justin London
Download or read book Modeling Derivatives Applications in Matlab, C++, and Excel written by Justin London and published by Financial Times/Prentice Hall. This book was released on 2007 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hundreds of financial institutions now market complex derivatives; thousands of financial and technical professionals need to model them accurately and effectively. This volume brings together proven, tested real-time models for each of todays leading modeling platforms to help professionals save months of development time, while improving the accuracy and reliability of the models they create.
Book Synopsis Financial Risk Forecasting by : Jon Danielsson
Download or read book Financial Risk Forecasting written by Jon Danielsson and published by John Wiley & Sons. This book was released on 2011-04-20 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
