An Extended Constant Conditional Correlation Garch Model And Its Fourth Moment Structure

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An Extended Constant Conditional Correlation GARCH Model and Its Fourth-moment-structure

Author : Changli He
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (834 download)

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Book Synopsis An Extended Constant Conditional Correlation GARCH Model and Its Fourth-moment-structure by : Changli He

Download or read book An Extended Constant Conditional Correlation GARCH Model and Its Fourth-moment-structure written by Changli He and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The constant conditional correlation GARCH model is probably the most frequently applied multivariate GARCH model. In this paper we consider an extension to this model and examine its fourth-moment structure. The extension, first considered by Jeantheau (1998), is motivated by the result found and discussed in the paper that the squared observations from the extended model have a rich autocorrelation structure. This means that already the first-order model is capable of reproducing a whole variety of autocorrelation structures observed in financial return series. These autocorrelations are derived for the first and the second-order constant conditional correlation GARCH model. The usefulness of the theoretical results of the paper is demonstrated by reconsidering an empirical example that appeared in the original paper on the constant conditional correlation GARCH model. -- Autoregressive conditional heteroskedasticity ; moment structure of GARCH ; multivariate conditional heteroskedasticity ; volatility dynamics

GARCH Models

Author : Christian Francq
Publisher : John Wiley & Sons
ISBN 13 : 1119313570
Total Pages : 517 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis GARCH Models by : Christian Francq

Download or read book GARCH Models written by Christian Francq and published by John Wiley & Sons. This book was released on 2019-06-10 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a comprehensive and updated study of GARCH models and their applications in finance, covering new developments in the discipline This book provides a comprehensive and systematic approach to understanding GARCH time series models and their applications whilst presenting the most advanced results concerning the theory and practical aspects of GARCH. The probability structure of standard GARCH models is studied in detail as well as statistical inference such as identification, estimation, and tests. The book also provides new coverage of several extensions such as multivariate models, looks at financial applications, and explores the very validation of the models used. GARCH Models: Structure, Statistical Inference and Financial Applications, 2nd Edition features a new chapter on Parameter-Driven Volatility Models, which covers Stochastic Volatility Models and Markov Switching Volatility Models. A second new chapter titled Alternative Models for the Conditional Variance contains a section on Stochastic Recurrence Equations and additional material on EGARCH, Log-GARCH, GAS, MIDAS, and intraday volatility models, among others. The book is also updated with a more complete discussion of multivariate GARCH; a new section on Cholesky GARCH; a larger emphasis on the inference of multivariate GARCH models; a new set of corrected problems available online; and an up-to-date list of references. Features up-to-date coverage of the current research in the probability, statistics, and econometric theory of GARCH models Covers significant developments in the field, especially in multivariate models Contains completely renewed chapters with new topics and results Handles both theoretical and applied aspects Applies to researchers in different fields (time series, econometrics, finance) Includes numerous illustrations and applications to real financial series Presents a large collection of exercises with corrections Supplemented by a supporting website featuring R codes, Fortran programs, data sets and Problems with corrections GARCH Models, 2nd Edition is an authoritative, state-of-the-art reference that is ideal for graduate students, researchers, and practitioners in business and finance seeking to broaden their skills of understanding of econometric time series models.

Anticipating Correlations

Author : Robert Engle
Publisher : Princeton University Press
ISBN 13 : 1400830192
Total Pages : 176 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Anticipating Correlations by : Robert Engle

Download or read book Anticipating Correlations written by Robert Engle and published by Princeton University Press. This book was released on 2009-01-19 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Financial markets respond to information virtually instantaneously. Each new piece of information influences the prices of assets and their correlations with each other, and as the system rapidly changes, so too do correlation forecasts. This fast-evolving environment presents econometricians with the challenge of forecasting dynamic correlations, which are essential inputs to risk measurement, portfolio allocation, derivative pricing, and many other critical financial activities. In Anticipating Correlations, Nobel Prize-winning economist Robert Engle introduces an important new method for estimating correlations for large systems of assets: Dynamic Conditional Correlation (DCC). Engle demonstrates the role of correlations in financial decision making, and addresses the economic underpinnings and theoretical properties of correlations and their relation to other measures of dependence. He compares DCC with other correlation estimators such as historical correlation, exponential smoothing, and multivariate GARCH, and he presents a range of important applications of DCC. Engle presents the asymmetric model and illustrates it using a multicountry equity and bond return model. He introduces the new FACTOR DCC model that blends factor models with the DCC to produce a model with the best features of both, and illustrates it using an array of U.S. large-cap equities. Engle shows how overinvestment in collateralized debt obligations, or CDOs, lies at the heart of the subprime mortgage crisis--and how the correlation models in this book could have foreseen the risks. A technical chapter of econometric results also is included. Based on the Econometric and Tinbergen Institutes Lectures, Anticipating Correlations puts powerful new forecasting tools into the hands of researchers, financial analysts, risk managers, derivative quants, and graduate students.

Handbook of Financial Time Series

Author : Torben Gustav Andersen
Publisher : Springer Science & Business Media
ISBN 13 : 3540712976
Total Pages : 1045 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Handbook of Financial Time Series by : Torben Gustav Andersen

Download or read book Handbook of Financial Time Series written by Torben Gustav Andersen and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 1045 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Methodology and Practice of Econometrics

Author : Jennifer Castle
Publisher : OUP Oxford
ISBN 13 : 0191553255
Total Pages : 464 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Methodology and Practice of Econometrics by : Jennifer Castle

Download or read book The Methodology and Practice of Econometrics written by Jennifer Castle and published by OUP Oxford. This book was released on 2009-04-30 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: David F. Hendry is a seminal figure in modern econometrics. He has pioneered the LSE approach to econometrics, and his influence is wide ranging. This book is a collection of papers dedicated to him and his work. Many internationally renowned econometricians who have collaborated with Hendry or have been influenced by his research have contributed to this volume, which provides a reflection on the recent advances in econometrics and considers the future progress for the methodology of econometrics. Central themes of the book include dynamic modelling and the properties of time series data, model selection and model evaluation, forecasting, policy analysis, exogeneity and causality, and encompassing. The book strikes a balance between econometric theory and empirical work, and demonstrates the influence that Hendry's research has had on the direction of modern econometrics. Contributors include: Karim Abadir, Anindya Banerjee, Gunnar Bårdsen, Andreas Beyer, Mike Clements, James Davidson, Juan Dolado, Jurgen Doornik, Robert Engle, Neil Ericsson, Jesus Gonzalo, Clive Granger, David Hendry, Kevin Hoover, Søren Johansen, Katarina Juselius, Steven Kamin, Pauline Kennedy, Maozu Lu, Massimiliano Marcellino, Laura Mayoral, Grayham Mizon, Bent Nielsen, Ragnor Nymoen, Jim Stock, Pravin Trivedi, Paolo Paruolo, Mark Watson, Hal White, and David Zimmer.

Econometrics in a Formal Science of Economics

Author : Bernt P. Stigum
Publisher : MIT Press
ISBN 13 : 0262028581
Total Pages : 389 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Econometrics in a Formal Science of Economics by : Bernt P. Stigum

Download or read book Econometrics in a Formal Science of Economics written by Bernt P. Stigum and published by MIT Press. This book was released on 2015 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: An examination of the role of theory in applied econometrics.

A Multivariate GARCH Model with Time-Varying Correlations

Author : Y.K. Tse
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis A Multivariate GARCH Model with Time-Varying Correlations by : Y.K. Tse

Download or read book A Multivariate GARCH Model with Time-Varying Correlations written by Y.K. Tse and published by . This book was released on 2018 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we propose a new multivariate GARCH model with time-varying correlations. We adopt the vech representation based on the conditional variances and the conditional correlations. While each conditional-variance term is assumed to follow a univariate GARCH formulation, the conditional-correlation matrix is postulated to follow an autoregressive moving average type of analogue. By imposing some suitable restrictions on the conditional-correlation-matrix equation, we construct a MGARCH model in which the conditional-correlation matrix is guaranteed to be positive definite during the optimization. Thus, our new model retains the intuition and interpretation of the univariate GARCH model and yet satisfies the positive-definite condition as found in the constant-correlation and BEKK models. We report some Monte Carlo results on the finite-sample distributions of the MLE of the varying-correlation MGARCH model. The new model is applied to some real data sets. It is found that extending the constant-correlation model to allow for time-varying correlations provides some interesting time histories that are not available in a constant-correlation model.

Mathematical and Statistical Methods for Actuarial Sciences and Finance

Author : Cira Perna
Publisher : Springer Science & Business Media
ISBN 13 : 8847023424
Total Pages : 402 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Mathematical and Statistical Methods for Actuarial Sciences and Finance by : Cira Perna

Download or read book Mathematical and Statistical Methods for Actuarial Sciences and Finance written by Cira Perna and published by Springer Science & Business Media. This book was released on 2012-03-08 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book develops the capabilities arising from the cooperation between mathematicians and statisticians working in insurance and finance fields. It gathers some of the papers presented at the conference MAF2010, held in Ravello (Amalfi coast), and successively, after a reviewing process, worked out to this aim.

GARCH Models

Author : Christian Francq
Publisher : John Wiley & Sons
ISBN 13 : 1119957397
Total Pages : 469 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis GARCH Models by : Christian Francq

Download or read book GARCH Models written by Christian Francq and published by John Wiley & Sons. This book was released on 2011-06-24 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive and systematic approach to understanding GARCH time series models and their applications whilst presenting the most advanced results concerning the theory and practical aspects of GARCH. The probability structure of standard GARCH models is studied in detail as well as statistical inference such as identification, estimation and tests. The book also provides coverage of several extensions such as asymmetric and multivariate models and looks at financial applications. Key features: Provides up-to-date coverage of the current research in the probability, statistics and econometric theory of GARCH models. Numerous illustrations and applications to real financial series are provided. Supporting website featuring R codes, Fortran programs and data sets. Presents a large collection of problems and exercises. This authoritative, state-of-the-art reference is ideal for graduate students, researchers and practitioners in business and finance seeking to broaden their skills of understanding of econometric time series models.

Testing the Structure of Conditional Correlations in Multivariate GARCH Models

Author : Nadine McCloud
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Testing the Structure of Conditional Correlations in Multivariate GARCH Models by : Nadine McCloud

Download or read book Testing the Structure of Conditional Correlations in Multivariate GARCH Models written by Nadine McCloud and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce a class of generally applicable specification tests for constant and dynamic structures of conditional correlations in multivariate GARCH models. The tests are robust to the presence of time-varying higher-order conditional moments of unknown form and are pure significance tests. The tests can identify linear and nonlinear misspecifications in conditional correlations. Our approach does not necessitate a particular parameter estimation method and distributional assumption on the error process. The asymptotic distribution of the tests is invariant to the uncertainty in parameter estimation. We assess the finite sample performance of our tests using simulated and real data.

Fourth Moment Structure of Multivariate GARCH Models

Author : Christian Hafner
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Fourth Moment Structure of Multivariate GARCH Models by : Christian Hafner

Download or read book Fourth Moment Structure of Multivariate GARCH Models written by Christian Hafner and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This article derives conditions for the existence of fourth moments of multivariate GARCH processes in the general vector specification and gives explicit results for the fourth moments and autocovariances of the squares and cross products. Results are provided for the kurtosis and cokurtosis between components. Applications of the results include the definition of impulse response functions for kurtosis and cokurtosis, the derivation of the spectral density matrix of the squares and cross products, and a measure for causality in volatility. A bivariate exchange rate example illustrates the applications.

Extended Conditional Correlation GARCH Models

Author :
Publisher :
ISBN 13 :
Total Pages : 49 pages
Book Rating : 4.:/5 (938 download)

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Book Synopsis Extended Conditional Correlation GARCH Models by :

Download or read book Extended Conditional Correlation GARCH Models written by and published by . This book was released on 2007 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Lagrange Multiplier Test for Testing the Adequacy of the Constant Conditional Correlation GARCH Model

Author : Paul Catani
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (931 download)

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Book Synopsis A Lagrange Multiplier Test for Testing the Adequacy of the Constant Conditional Correlation GARCH Model by : Paul Catani

Download or read book A Lagrange Multiplier Test for Testing the Adequacy of the Constant Conditional Correlation GARCH Model written by Paul Catani and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multi-moment Asset Allocation and Pricing Models

Author : Emmanuel Jurczenko
Publisher : John Wiley & Sons
ISBN 13 : 0470057998
Total Pages : 258 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Multi-moment Asset Allocation and Pricing Models by : Emmanuel Jurczenko

Download or read book Multi-moment Asset Allocation and Pricing Models written by Emmanuel Jurczenko and published by John Wiley & Sons. This book was released on 2006-10-02 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: While mainstream financial theories and applications assume that asset returns are normally distributed and individual preferences are quadratic, the overwhelming empirical evidence shows otherwise. Indeed, most of the asset returns exhibit “fat-tails” distributions and investors exhibit asymmetric preferences. These empirical findings lead to the development of a new area of research dedicated to the introduction of higher order moments in portfolio theory and asset pricing models. Multi-moment asset pricing is a revolutionary new way of modeling time series in finance which allows various degrees of long-term memory to be generated. It allows risk and prices of risk to vary through time enabling the accurate valuation of long-lived assets. This book presents the state-of-the art in multi-moment asset allocation and pricing models and provides many new developments in a single volume, collecting in a unified framework theoretical results and applications previously scattered throughout the financial literature. The topics covered in this comprehensive volume include: four-moment individual risk preferences, mathematics of the multi-moment efficient frontier, coherent asymmetric risks measures, hedge funds asset allocation under higher moments, time-varying specifications of (co)moments and multi-moment asset pricing models with homogeneous and heterogeneous agents. Written by leading academics, Multi-moment Asset Allocation and Pricing Models offers a unique opportunity to explore the latest findings in this new field of research.

Four Essays on Building Conditional Correlation GARCH Models

Author : Tomoaki Nakatani
Publisher :
ISBN 13 : 9789172588226
Total Pages : 156 pages
Book Rating : 4.5/5 (882 download)

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Book Synopsis Four Essays on Building Conditional Correlation GARCH Models by : Tomoaki Nakatani

Download or read book Four Essays on Building Conditional Correlation GARCH Models written by Tomoaki Nakatani and published by . This book was released on 2010 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Systems in Finance and Econometrics

Author : Robert A. Meyers
Publisher : Springer Science & Business Media
ISBN 13 : 1441977007
Total Pages : 919 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Complex Systems in Finance and Econometrics by : Robert A. Meyers

Download or read book Complex Systems in Finance and Econometrics written by Robert A. Meyers and published by Springer Science & Business Media. This book was released on 2010-11-03 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finance, Econometrics and System Dynamics presents an overview of the concepts and tools for analyzing complex systems in a wide range of fields. The text integrates complexity with deterministic equations and concepts from real world examples, and appeals to a broad audience.

Volatility and Correlation

Author : Riccardo Rebonato
Publisher : John Wiley & Sons
ISBN 13 : 0470091401
Total Pages : 864 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Volatility and Correlation by : Riccardo Rebonato

Download or read book Volatility and Correlation written by Riccardo Rebonato and published by John Wiley & Sons. This book was released on 2005-07-08 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Volatility and Correlation 2nd edition: The Perfect Hedger and the Fox, Rebonato looks at derivatives pricing from the angle of volatility and correlation. With both practical and theoretical applications, this is a thorough update of the highly successful Volatility & Correlation – with over 80% new or fully reworked material and is a must have both for practitioners and for students. The new and updated material includes a critical examination of the ‘perfect-replication’ approach to derivatives pricing, with special attention given to exotic options; a thorough analysis of the role of quadratic variation in derivatives pricing and hedging; a discussion of the informational efficiency of markets in commonly-used calibration and hedging practices. Treatment of new models including Variance Gamma, displaced diffusion, stochastic volatility for interest-rate smiles and equity/FX options. The book is split into four parts. Part I deals with a Black world without smiles, sets out the author’s ‘philosophical’ approach and covers deterministic volatility. Part II looks at smiles in equity and FX worlds. It begins with a review of relevant empirical information about smiles, and provides coverage of local-stochastic-volatility, general-stochastic-volatility, jump-diffusion and Variance-Gamma processes. Part II concludes with an important chapter that discusses if and to what extent one can dispense with an explicit specification of a model, and can directly prescribe the dynamics of the smile surface. Part III focusses on interest rates when the volatility is deterministic. Part IV extends this setting in order to account for smiles in a financially motivated and computationally tractable manner. In this final part the author deals with CEV processes, with diffusive stochastic volatility and with Markov-chain processes. Praise for the First Edition: “In this book, Dr Rebonato brings his penetrating eye to bear on option pricing and hedging.... The book is a must-read for those who already know the basics of options and are looking for an edge in applying the more sophisticated approaches that have recently been developed.” —Professor Ian Cooper, London Business School “Volatility and correlation are at the very core of all option pricing and hedging. In this book, Riccardo Rebonato presents the subject in his characteristically elegant and simple fashion...A rare combination of intellectual insight and practical common sense.” —Anthony Neuberger, London Business School