Financial Models with Levy Processes and Volatility Clustering

Financial Models with Levy Processes and Volatility Clustering
Title Financial Models with Levy Processes and Volatility Clustering PDF eBook
Author Svetlozar T. Rachev
Publisher John Wiley & Sons
Pages 316
Release 2011-02-08
Genre Business & Economics
ISBN 0470937262

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An in-depth guide to understanding probability distributions and financial modeling for the purposes of investment management In Financial Models with Lévy Processes and Volatility Clustering, the expert author team provides a framework to model the behavior of stock returns in both a univariate and a multivariate setting, providing you with practical applications to option pricing and portfolio management. They also explain the reasons for working with non-normal distribution in financial modeling and the best methodologies for employing it. The book's framework includes the basics of probability distributions and explains the alpha-stable distribution and the tempered stable distribution. The authors also explore discrete time option pricing models, beginning with the classical normal model with volatility clustering to more recent models that consider both volatility clustering and heavy tails. Reviews the basics of probability distributions Analyzes a continuous time option pricing model (the so-called exponential Lévy model) Defines a discrete time model with volatility clustering and how to price options using Monte Carlo methods Studies two multivariate settings that are suitable to explain joint extreme events Financial Models with Lévy Processes and Volatility Clustering is a thorough guide to classical probability distribution methods and brand new methodologies for financial modeling.

Encyclopedia of Financial Models

Encyclopedia of Financial Models
Title Encyclopedia of Financial Models PDF eBook
Author Frank J. Fabozzi
Publisher John Wiley & Sons
Pages 3180
Release 2012-10-15
Genre Business & Economics
ISBN 1118539958

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An essential reference dedicated to a wide array of financial models, issues in financial modeling, and mathematical and statistical tools for financial modeling The need for serious coverage of financial modeling has never been greater, especially with the size, diversity, and efficiency of modern capital markets. With this in mind, the Encyclopedia of Financial Models, 3 Volume Set has been created to help a broad spectrum of individuals—ranging from finance professionals to academics and students—understand financial modeling and make use of the various models currently available. Incorporating timely research and in-depth analysis, the Encyclopedia of Financial Models is an informative 3-Volume Set that covers both established and cutting-edge models and discusses their real-world applications. Edited by Frank Fabozzi, this set includes contributions from global financial experts as well as academics with extensive consulting experience in this field. Organized alphabetically by category, this reliable resource consists of three separate volumes and 127 entries—touching on everything from asset pricing and bond valuation models to trading cost models and volatility—and provides readers with a balanced understanding of today's dynamic world of financial modeling. Frank Fabozzi follows up his successful Handbook of Finance with another major reference work, The Encyclopedia of Financial Models Covers the two major topical areas: asset valuation for cash and derivative instruments, and portfolio modeling Fabozzi explores the critical background tools from mathematics, probability theory, statistics, and operations research needed to understand these complex models Organized alphabetically by category, this book gives readers easy and quick access to specific topics sorted by an applicable category among them Asset Allocation, Credit Risk Modeling, Statistical Tools 3 Volumes onlinelibrary.wiley.com Financial models have become increasingly commonplace, as well as complex. They are essential in a wide range of financial endeavors, and this 3-Volume Set will help put them in perspective.

Encyclopedia of Financial Models, Volume III

Encyclopedia of Financial Models, Volume III
Title Encyclopedia of Financial Models, Volume III PDF eBook
Author Frank J. Fabozzi
Publisher John Wiley & Sons
Pages 1060
Release 2012-09-20
Genre Business & Economics
ISBN 1118539834

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Volume 3 of the Encyclopedia of Financial Models The need for serious coverage of financial modeling has never been greater, especially with the size, diversity, and efficiency of modern capital markets. With this in mind, the Encyclopedia of Financial Models has been created to help a broad spectrum of individuals—ranging from finance professionals to academics and students—understand financial modeling and make use of the various models currently available. Incorporating timely research and in-depth analysis, Volume 3 of the Encyclopedia of Financial Models covers both established and cutting-edge models and discusses their real-world applications. Edited by Frank Fabozzi, this volume includes contributions from global financial experts as well as academics with extensive consulting experience in this field. Organized alphabetically by category, this reliable resource consists of forty-four informative entries and provides readers with a balanced understanding of today’s dynamic world of financial modeling. Volume 3 covers Mortgage-Backed Securities Analysis and Valuation, Operational Risk, Optimization Tools, Probability Theory, Risk Measures, Software for Financial Modeling, Stochastic Processes and Tools, Term Structure Modeling, Trading Cost Models, and Volatility Emphasizes both technical and implementation issues, providing researchers, educators, students, and practitioners with the necessary background to deal with issues related to financial modeling The 3-Volume Set contains coverage of the fundamentals and advances in financial modeling and provides the mathematical and statistical techniques needed to develop and test financial models Financial models have become increasingly commonplace, as well as complex. They are essential in a wide range of financial endeavors, and the Encyclopedia of Financial Models will help put them in perspective.

Clustered Lévy Processes and Their Financial Applications

Clustered Lévy Processes and Their Financial Applications
Title Clustered Lévy Processes and Their Financial Applications PDF eBook
Author Donatien Hainaut
Publisher
Pages 34
Release 2016
Genre
ISBN

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This work contributes to the literature over time-changed processes in two directions. Firstly, this is the first thorough study of theoretical properties of Lévy processes, subordinated by a self-excited random clock. The process observed on this new time scale, called clustered Lévy process, presents interesting features for financial modeling like stochastic volatility and grouped jumps. In this framework, we infer analytical expressions for the mean, variance, and a new parametric form of the moment generating function. A bivariate extension is also considered. Furthermore, this article introduces a class of exponential affine changes of measure and the necessary conditions to preserve the dynamics of clustered Lévy processes under an equivalent measure. The second major contribution is empirical. A new particle filter is proposed so as to recover the market time scale from a time series. And a method based on the numerical inversion of the moment generating function is used to estimate parameters. Finally, a numerical analysis reveals that random clocks driving the S&P 500 and Eurostoxx 50 indices are highly correlated to trading volumes.

Capital Markets, Fifth Edition

Capital Markets, Fifth Edition
Title Capital Markets, Fifth Edition PDF eBook
Author Frank J. Fabozzi
Publisher MIT Press
Pages 1087
Release 2015-10-23
Genre Business & Economics
ISBN 0262029480

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The substantially revised fifth edition of a textbook covering the wide range of instruments available in financial markets, with a new emphasis on risk management. Over the last fifty years, an extensive array of instruments for financing, investing, and controlling risk has become available in financial markets, with demand for these innovations driven by the needs of investors and borrowers. The recent financial crisis offered painful lessons on the consequences of ignoring the risks associated with new financial products and strategies. This substantially revised fifth edition of a widely used text covers financial product innovation with a new emphasis on risk management and regulatory reform. Chapters from the previous edition have been updated, and new chapters cover material that reflects recent developments in financial markets. The book begins with an introduction to financial markets, offering a new chapter that provides an overview of risk—including the key elements of financial risk management and the identification and quantification of risk. The book then covers market participants, including a new chapter on collective investment products managed by asset management firms; the basics of cash and derivatives markets, with new coverage of financial derivatives and securitization; theories of risk and return, with a new chapter on return distributions and risk measures; the structure of interest rates and the pricing of debt obligations; equity markets; debt markets, including chapters on money market instruments, municipal securities, and credit sensitive securitized products; and advanced coverage of derivative markets. Each chapter ends with a review of key points and questions based on the material covered.

Encyclopedia of Financial Models

Encyclopedia of Financial Models
Title Encyclopedia of Financial Models PDF eBook
Author Frank J. Fabozzi
Publisher John Wiley & Sons
Pages 832
Release 2012-09-12
Genre Business & Economics
ISBN 1118539885

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Volume 2 of the Encyclopedia of Financial Models The need for serious coverage of financial modeling has never been greater, especially with the size, diversity, and efficiency of modern capital markets. With this in mind, the Encyclopedia of Financial Models has been created to help a broad spectrum of individuals—ranging from finance professionals to academics and students—understand financial modeling and make use of the various models currently available. Incorporating timely research and in-depth analysis, Volume 2 of the Encyclopedia of Financial Models covers both established and cutting-edge models and discusses their real-world applications. Edited by Frank Fabozzi, this volume includes contributions from global financial experts as well as academics with extensive consulting experience in this field. Organized alphabetically by category, this reliable resource consists of forty-four informative entries and provides readers with a balanced understanding of today's dynamic world of financial modeling. Volume 2 explores Equity Models and Valuation, Factor Models for Portfolio Construction, Financial Econometrics, Financial Modeling Principles, Financial Statements Analysis, Finite Mathematics for Financial Modeling, and Model Risk and Selection Emphasizes both technical and implementation issues, providing researchers, educators, students, and practitioners with the necessary background to deal with issues related to financial modeling The 3-Volume Set contains coverage of the fundamentals and advances in financial modeling and provides the mathematical and statistical techniques needed to develop and test financial models Financial models have become increasingly commonplace, as well as complex. They are essential in a wide range of financial endeavors, and the Encyclopedia of Financial Models will help put them in perspective.

Handbook Of Heavy-tailed Distributions In Asset Management And Risk Management

Handbook Of Heavy-tailed Distributions In Asset Management And Risk Management
Title Handbook Of Heavy-tailed Distributions In Asset Management And Risk Management PDF eBook
Author Michele Leonardo Bianchi
Publisher World Scientific
Pages 598
Release 2019-03-08
Genre Business & Economics
ISBN 9813276215

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The study of heavy-tailed distributions allows researchers to represent phenomena that occasionally exhibit very large deviations from the mean. The dynamics underlying these phenomena is an interesting theoretical subject, but the study of their statistical properties is in itself a very useful endeavor from the point of view of managing assets and controlling risk. In this book, the authors are primarily concerned with the statistical properties of heavy-tailed distributions and with the processes that exhibit jumps. A detailed overview with a Matlab implementation of heavy-tailed models applied in asset management and risk managements is presented. The book is not intended as a theoretical treatise on probability or statistics, but as a tool to understand the main concepts regarding heavy-tailed random variables and processes as applied to real-world applications in finance. Accordingly, the authors review approaches and methodologies whose realization will be useful for developing new methods for forecasting of financial variables where extreme events are not treated as anomalies, but as intrinsic parts of the economic process.