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Author: Umberto Cherubini
Publisher: John Wiley & Sons
ISBN: 1119954525
Category : Business & Economics
Languages : en
Pages : 287
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Book Description
The latest tools and techniques for pricing and risk management This book introduces readers to the use of copula functions to represent the dynamics of financial assets and risk factors, integrated temporal and cross-section applications. The first part of the book will briefly introduce the standard the theory of copula functions, before examining the link between copulas and Markov processes. It will then introduce new techniques to design Markov processes that are suited to represent the dynamics of market risk factors and their co-movement, providing techniques to both estimate and simulate such dynamics. The second part of the book will show readers how to apply these methods to the evaluation of pricing of multivariate derivative contracts in the equity and credit markets. It will then move on to explore the applications of joint temporal and cross-section aggregation to the problem of risk integration.
Author: Umberto Cherubini
Publisher: John Wiley & Sons
ISBN: 1119954525
Category : Business & Economics
Languages : en
Pages : 287
Get Book
Book Description
The latest tools and techniques for pricing and risk management This book introduces readers to the use of copula functions to represent the dynamics of financial assets and risk factors, integrated temporal and cross-section applications. The first part of the book will briefly introduce the standard the theory of copula functions, before examining the link between copulas and Markov processes. It will then introduce new techniques to design Markov processes that are suited to represent the dynamics of market risk factors and their co-movement, providing techniques to both estimate and simulate such dynamics. The second part of the book will show readers how to apply these methods to the evaluation of pricing of multivariate derivative contracts in the equity and credit markets. It will then move on to explore the applications of joint temporal and cross-section aggregation to the problem of risk integration.
Author: Umberto Cherubini
Publisher: John Wiley & Sons
ISBN: 0470863455
Category : Business & Economics
Languages : en
Pages : 310
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Book Description
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.
Author: Umberto Cherubini
Publisher:
ISBN:
Category : Electronic book
Languages : en
Pages : 310
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Book Description
Annotation 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.
Author: Damiano Brigo
Publisher: John Wiley & Sons
ISBN: 0470971436
Category : Business & Economics
Languages : en
Pages : 186
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Book Description
The recent financial crisis has highlighted the need for better valuation models and risk management procedures, better understanding of structured products, and has called into question the actions of many financial institutions. It has become commonplace to blame the inadequacy of credit risk models, claiming that the crisis was due to sophisticated and obscure products being traded, but practitioners have for a long time been aware of the dangers and limitations of credit models. It would seem that a lack of understanding of these models is the root cause of their failures but until now little analysis had been published on the subject and, when published, it had gained very limited attention. Credit Models and the Crisis is a succinct but technical analysis of the key aspects of the credit derivatives modeling problems, tracing the development (and flaws) of new quantitative methods for credit derivatives and CDOs up to and through the credit crisis. Responding to the immediate need for clarity in the market and academic research environments, this book follows the development of credit derivatives and CDOs at a technical level, analyzing the impact, strengths and weaknesses of methods ranging from the introduction of the Gaussian Copula model and the related implied correlations to the introduction of arbitrage-free dynamic loss models capable of calibrating all the tranches for all the maturities at the same time. It also illustrates the implied copula, a method that can consistently account for CDOs with different attachment and detachment points but not for different maturities, and explains why the Gaussian Copula model is still used in its base correlation formulation. The book reports both alarming pre-crisis research and market examples, as well as commentary through history, using data up to the end of 2009, making it an important addition to modern derivatives literature. With banks and regulators struggling to fully analyze at a technical level, many of the flaws in modern financial models, it will be indispensable for quantitative practitioners and academics who want to develop stable and functional models in the future.
Author: Alexandra Dias
Publisher: Routledge
ISBN: 1317976908
Category : Business & Economics
Languages : en
Pages : 310
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Book Description
Portfolio theory and much of asset pricing, as well as many empirical applications, depend on the use of multivariate probability distributions to describe asset returns. Traditionally, this has meant the multivariate normal (or Gaussian) distribution. More recently, theoretical and empirical work in financial economics has employed the multivariate Student (and other) distributions which are members of the elliptically symmetric class. There is also a growing body of work which is based on skew-elliptical distributions. These probability models all exhibit the property that the marginal distributions differ only by location and scale parameters or are restrictive in other respects. Very often, such models are not supported by the empirical evidence that the marginal distributions of asset returns can differ markedly. Copula theory is a branch of statistics which provides powerful methods to overcome these shortcomings. This book provides a synthesis of the latest research in the area of copulae as applied to finance and related subjects such as insurance. Multivariate non-Gaussian dependence is a fact of life for many problems in financial econometrics. This book describes the state of the art in tools required to deal with these observed features of financial data. This book was originally published as a special issue of the European Journal of Finance.
Author: Valentin Braun
Publisher: BoD – Books on Demand
ISBN: 3844100407
Category : Business & Economics
Languages : en
Pages : 178
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Book Description
The interactions of financial securities are crucial to determine possible portfolio losses. Although this fact is well understood, two questions remain: What causes changes in the dependence structure of financial assets? How can fluctuating dependencies be measured? The most common approach to identify the amplitude of financial assets' interactions are linear correlation coefficients. However, they fail to comprise shifts in the dependence structure. Alternatively, Copulas are a more flexible dependence measurement. This book focuses on the development of Dynamic Copula frameworks by implementing stochastic parameters into Archimedian and Elliptical Copula functions. In contrast to static correlation measures, the Dynamic Copulas are able to replicate unstable financial market interactions. Various Dynamic Copulas are applied to global stock, bond, commodity and exchange rate data to calculate the correlation time paths, which explain financial market reactions to economic shocks. Furthermore, the interactions of dependencies, volatility and returns are analyzed, to determine the efficiency of portfolio diversification in regards to wealth protection. Portfolio risks are estimated through Dynamic Copulas to demonstrate their abilities to replicate financial market interactions accurately. Additionally, this analysis reveals the impact of changing dependence intensities on the magnitude of possible portfolio losses. Finally, the Dynamic Copulas are utilized to allocate higher moment optimal portfolios. This examination emphasizes the effect of inaccurate correlation estimates on the portfolio choice.
Author: Torben Gustav Andersen
Publisher: Springer Science & Business Media
ISBN: 3540712976
Category : Business & Economics
Languages : en
Pages : 1045
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Book Description
The Handbook of Financial Time Series gives an up-to-date overview of the field and covers all relevant topics both from a statistical and an econometrical point of view. There are many fine contributions, and a preamble by Nobel Prize winner Robert F. Engle.
Author: Wang, John
Publisher: IGI Global
ISBN: 1466652039
Category : Business & Economics
Languages : en
Pages : 2754
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Book Description
As the age of Big Data emerges, it becomes necessary to take the five dimensions of Big Data- volume, variety, velocity, volatility, and veracity- and focus these dimensions towards one critical emphasis - value. The Encyclopedia of Business Analytics and Optimization confronts the challenges of information retrieval in the age of Big Data by exploring recent advances in the areas of knowledge management, data visualization, interdisciplinary communication, and others. Through its critical approach and practical application, this book will be a must-have reference for any professional, leader, analyst, or manager interested in making the most of the knowledge resources at their disposal.
Author: J. Mai
Publisher: Springer
ISBN: 1137346310
Category : Business & Economics
Languages : en
Pages : 150
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Book Description
This is a succinct guide to the application and modelling of dependence models or copulas in the financial markets. First applied to credit risk modelling, copulas are now widely used across a range of derivatives transactions, asset pricing techniques and risk models and are a core part of the financial engineer's toolkit.
Author: Marius Hofert
Publisher: Springer
ISBN: 3319896350
Category : Business & Economics
Languages : en
Pages : 267
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Book Description
This book introduces the main theoretical findings related to copulas and shows how statistical modeling of multivariate continuous distributions using copulas can be carried out in the R statistical environment with the package copula (among others). Copulas are multivariate distribution functions with standard uniform univariate margins. They are increasingly applied to modeling dependence among random variables in fields such as risk management, actuarial science, insurance, finance, engineering, hydrology, climatology, and meteorology, to name a few. In the spirit of the Use R! series, each chapter combines key theoretical definitions or results with illustrations in R. Aimed at statisticians, actuaries, risk managers, engineers and environmental scientists wanting to learn about the theory and practice of copula modeling using R without an overwhelming amount of mathematics, the book can also be used for teaching a course on copula modeling.
