Stable Paretian Models in Finance

Stable Paretian Models in Finance
Author: Svetlozar T. Rachev
Publisher:
Total Pages: 886
Release: 2000-06-15
Genre: Business & Economics
ISBN:

This text is a comprehensive treatment of the Asset Pricing Theory, based on the assumption that returns are distributed non-normally. More general models are also considered and the corresponding formulae are derived, and it describes estimation techniques and presents empirical applications.

Handbook of Heavy Tailed Distributions in Finance

Handbook of Heavy Tailed Distributions in Finance
Author: S.T Rachev
Publisher: Elsevier
Total Pages: 707
Release: 2003-03-05
Genre: Business & Economics
ISBN: 0080557732

The Handbooks in Finance are intended to be a definitive source for comprehensive and accessible information in the field of finance. Each individual volume in the series should present an accurate self-contained survey of a sub-field of finance, suitable for use by finance and economics professors and lecturers, professional researchers, graduate students and as a teaching supplement. The goal is to have a broad group of outstanding volumes in various areas of finance. The Handbook of Heavy Tailed Distributions in Finance is the first handbook to be published in this series.This volume presents current research focusing on heavy tailed distributions in finance. The contributions cover methodological issues, i.e., probabilistic, statistical and econometric modelling under non- Gaussian assumptions, as well as the applications of the stable and other non -Gaussian models in finance and risk management.

Modelling Extremal Stock Returns in a Stable Paretian Environment

Modelling Extremal Stock Returns in a Stable Paretian Environment
Author: Hendrik Kohleick
Publisher: GRIN Verlag
Total Pages: 140
Release: 2007-10
Genre: Mathematics
ISBN: 3638717542

Diploma Thesis from the year 2003 in the subject Statistics, grade: 1,0, University of Cologne (Seminar f r Wirtschafts- und Sozialstatistik), 86 entries in the bibliography, language: English, abstract: Finance experts and statisticians still have considerable difficulties to understand extremal movements in stock prices. Basically, there are two approaches to shed some light on this question: 1. Tail inference based on full parametric assumptions 2. "Letting the tails speak for themselves" This paper discusses both approaches, the stable Paretian distribution serving as a conceptual framework for the analysis.

A Practical Guide to Heavy Tails

A Practical Guide to Heavy Tails
Author: Robert Adler
Publisher: Springer Science & Business Media
Total Pages: 560
Release: 1998-10-26
Genre: Mathematics
ISBN: 9780817639518

Twenty-four contributions, intended for a wide audience from various disciplines, cover a variety of applications of heavy-tailed modeling involving telecommunications, the Web, insurance, and finance. Along with discussion of specific applications are several papers devoted to time series analysis, regression, classical signal/noise detection problems, and the general structure of stable processes, viewed from a modeling standpoint. Emphasis is placed on developments in handling the numerical problems associated with stable distribution (a main technical difficulty until recently). No index. Annotation copyrighted by Book News, Inc., Portland, OR

Encyclopedia of Financial Models, Volume III

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

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.

Encyclopedia of Financial Models, Volume II

Encyclopedia of Financial Models, Volume II
Author: Frank J. Fabozzi
Publisher: John Wiley & Sons
Total Pages: 830
Release: 2012-09-12
Genre: Business & Economics
ISBN: 1118539885

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 Computational and Numerical Methods in Finance

Handbook of Computational and Numerical Methods in Finance
Author: Svetlozar T. Rachev
Publisher: Springer Science & Business Media
Total Pages: 438
Release: 2011-06-28
Genre: Mathematics
ISBN: 0817681809

The subject of numerical methods in finance has recently emerged as a new discipline at the intersection of probability theory, finance, and numerical analysis. The methods employed bridge the gap between financial theory and computational practice, and provide solutions for complex problems that are difficult to solve by traditional analytical methods. Although numerical methods in finance have been studied intensively in recent years, many theoretical and practical financial aspects have yet to be explored. This volume presents current research and survey articles focusing on various numerical methods in finance. The book is designed for the academic community and will also serve professional investors.

Encyclopedia of Financial Models

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

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.

Univariate Stable Distributions

Univariate Stable Distributions
Author: John P. Nolan
Publisher: Springer Nature
Total Pages: 342
Release: 2020-09-13
Genre: Mathematics
ISBN: 3030529150

This textbook highlights the many practical uses of stable distributions, exploring the theory, numerical algorithms, and statistical methods used to work with stable laws. Because of the author’s accessible and comprehensive approach, readers will be able to understand and use these methods. Both mathematicians and non-mathematicians will find this a valuable resource for more accurately modelling and predicting large values in a number of real-world scenarios. Beginning with an introductory chapter that explains key ideas about stable laws, readers will be prepared for the more advanced topics that appear later. The following chapters present the theory of stable distributions, a wide range of applications, and statistical methods, with the final chapters focusing on regression, signal processing, and related distributions. Each chapter ends with a number of carefully chosen exercises. Links to free software are included as well, where readers can put these methods into practice. Univariate Stable Distributions is ideal for advanced undergraduate or graduate students in mathematics, as well as many other fields, such as statistics, economics, engineering, physics, and more. It will also appeal to researchers in probability theory who seek an authoritative reference on stable distributions.

Financial Models with Levy Processes and Volatility Clustering

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

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.