Download or read book Covariance Estimation with Markov Switching Generalized Autoregressive Conditional Heteroskedasticity Models Applications to Portfolio Management written by Tristan Gardner Wisner and published by . This book was released on 2017 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this paper is to implement and test the multivariate regime-switching GARCH model as a potential improvement on traditional methods for estimating the covariance matrix for multiple time series. I describe the characteristics and estimation of the primary model of interest, MS-GARCH, and some competitor models. I implement and backtest a portfolio management strategy based on risk minimization using MS-GARCH forecasts and evaluate performance relative to competitors. I find MS-GARCH to be an useful tool in portfolio construction, and to offer some significant advantages over more traditional models in terms of accuracy and interpretability when describing a process.
Download or read book Generalized Autoregressive Conditional Heteroskedasticity with Applications in Finance written by Tim Bollerslev and published by . This book was released on 1986 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hidden Markov Models written by Ramaprasad Bhar and published by Springer Science & Business Media. This book was released on 2004-07-20 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markov chains have increasingly become useful way of capturing stochastic nature of many economic and financial variables. Although the hidden Markov processes have been widely employed for some time in many engineering applications e.g. speech recognition, its effectiveness has now been recognized in areas of social science research as well. The main aim of Hidden Markov Models: Applications to Financial Economics is to make such techniques available to more researchers in financial economics. As such we only cover the necessary theoretical aspects in each chapter while focusing on real life applications using contemporary data mainly from OECD group of countries. The underlying assumption here is that the researchers in financial economics would be familiar with such application although empirical techniques would be more traditional econometrics. Keeping the application level in a more familiar level, we focus on the methodology based on hidden Markov processes. This will, we believe, help the reader to develop more in-depth understanding of the modeling issues thereby benefiting their future research.
Download or read book Maximum Likelihood Estimation of the Markov Switching GARCH Model written by Maciej Augustyniak and published by . This book was released on 2016 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Markov-switching GARCH model offers rich dynamics to model financial data. Estimating this path dependent model is a challenging task because exact computation of the likelihood is infeasible in practice. This difficulty led to estimation procedures either based on a simplification of the model or not dependent on the likelihood. There is no method available to obtain the maximum likelihood estimator without resorting to a modification of the model. A novel approach is developed based on both the Monte Carlo expectation-maximization algorithm and importance sampling to calculate the maximum likelihood estimator and asymptotic variance-covariance matrix of the Markov-switching GARCH model. Practical implementation of the proposed algorithm is discussed and its effectiveness is demonstrated in simulation and empirical studies.
Download or read book Markov Switching Vector Autoregressions written by Hans-Martin Krolzig and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contributes to re cent developments on the statistical analysis of multiple time series in the presence of regime shifts. Markov-switching models have become popular for modelling non-linearities and regime shifts, mainly, in univariate eco nomic time series. This study is intended to provide a systematic and operational ap proach to the econometric modelling of dynamic systems subject to shifts in regime, based on the Markov-switching vector autoregressive model. The study presents a comprehensive analysis of the theoretical properties of Markov-switching vector autoregressive processes and the related statistical methods. The statistical concepts are illustrated with applications to empirical business cyde research. This monograph is a revised version of my dissertation which has been accepted by the Economics Department of the Humboldt-University of Berlin in 1996. It con sists mainly of unpublished material which has been presented during the last years at conferences and in seminars. The major parts of this study were written while I was supported by the Deutsche Forschungsgemeinschajt (DFG), Berliner Graduier tenkolleg Angewandte Mikroökonomik and Sondeiforschungsbereich 373 at the Free University and Humboldt-University of Berlin. Work was finally completed in the project The Econometrics of Macroeconomic Forecasting founded by the Economic and Social Research Council (ESRC) at the Institute of Economies and Statistics, University of Oxford. It is a pleasure to record my thanks to these institutions for their support of my research embodied in this study.
Download or read book A Component Markov Regime Switching Autoregressive Conditional Range Model written by Richard D. F. Harris and published by . This book was released on 2016 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we develop a component Markov switching conditional volatility model based on the intraday range and evaluate its performance in forecasting the weekly volatility of the S&P 500 index. We compare the performance of the range-based Markov switching model with that of a number of well established return-based and range-based volatility models, namely EWMA, GARCH and FIGARCH models, the Markov Regime-Switching GARCH model of Klaassen (2002), the hybrid EWMA model of Harris and Yilmaz (2009), and the CARR model of Chou (2005). We show that the range-based Markov switching conditional volatility models produce more accurate out-of-sample forecasts, contain more information about true volatility, and exhibit similar or better performance when used for the estimation of value at risk.
Download or read book Panel Markov switching Models of Economic Phenomena written by Paul Victor Hamilton and published by . This book was released on 2002 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Markov Switching Models written by James D. Hamilton and published by Physica. This book was released on 2013-01-19 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of state-of-the-art papers on the properties of business cycles and financial analysis. The individual contributions cover new advances in Markov-switching models with applications to business cycle research and finance. The introduction surveys the existing methods and new results of the last decade. Individual chapters study features of the U. S. and European business cycles with particular focus on the role of monetary policy, oil shocks and co movements among key variables. The short-run versus long-run consequences of an economic recession are also discussed. Another area that is featured is an extensive analysis of currency crises and the possibility of bubbles or fads in stock prices. A concluding chapter offers useful new results on testing for this kind of regime-switching behaviour. Overall, the book provides a state-of-the-art over view of new directions in methods and results for estimation and inference based on the use of Markov-switching time-series analysis. A special feature of the book is that it includes an illustration of a wide range of applications based on a common methodology. It is expected that the theme of the book will be of particular interest to the macroeconomics readers as well as econometrics professionals, scholars and graduate students. We wish to express our gratitude to the authors for their strong contributions and the reviewers for their assistance and careful attention to detail in their reports.
Download or read book Instrumental variables Estimation in Markov Switching Models with an Application to Testing the Unbiased Forward Exchange Rate Hypothesis written by Fabio Spagnola and published by . This book was released on 2000 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A New Approach to Markov Switching GARCH Models written by Markus Haas and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of Markov-switching models to capture the volatility dynamics of financial time series has grown considerably during past years, in part because they give rise to a plausible interpretation of nonlinearities. Nevertheless, GARCH-type models remain ubiquitous in order to allow for nonlinearities associated with time-varying volatility. Existing methods of combining the two approaches are unsatisfactory, as they either suffer from severe estimation difficulties or else their dynamic properties are not well understood. In this article we present a new Markov-switching GARCH model that overcomes both of these problems. Dynamic properties are derived and their implications for the volatility process discussed. We argue that the disaggregation of the variance process offered by the new model is more plausible than in the existing variants. The approach is illustrated with several exchange rate return series. The results suggest that a promising volatility model is an independent switching GARCH process with a possibly skewed conditional mixture density.
Download or read book Three Essays on the Application of the Markov Switching Multifractal Model written by Waleem Babatunde Alausa and published by . This book was released on 2014 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: The overall purpose of this thesis is to extend and apply the Markov Switching Multifractal (MSM) model to various economic problems. To this extent, Chapter 1 lays the ground work for the next chapters by reviewing the MSM model, discussing its properties and outlining its estimation procedures. The chapter also reviews the distributional properties of several commodity markets that make them amenable to the MSM model. Chapter 2 extends the MSM model by incorporating a vector error correction component, which includes in the conditional mean equation, the cointegrating relationship between spot and futures prices. The VECM-MSM model has two distinctive features that incorporate the empirical properties of asset prices. First, it includes an error correction mechanism in the mean equation that incorporates the long-run relationship between spot and futures prices. Second, the model specifies the conditional second moments as a bivariate Markov Switching Multifractal (MSM) model. The VECM-MSM model is applied to study the problem of risk hedging in the futures market. The hedging effectiveness of the proposed VECM-MSM model is evaluated, using a value-at-risk (VaR) approach. Specifically, we compare the hedging effectiveness of the proposed model to those of alternative models by assessing their unconditional and conditional VaR coverages. Models are then ranked in terms of the adequacy and accuracy of their hedged portfolio VaR. The in-sample and out-of-sample hedge effectiveness shows that the VECM-MSM hedged portfolio outperforms alternative hedging strategies in terms of having the lowest rate of VaR violations among the different strategies. Statistical tests of unconditional and conditional coverages also show that the VECM-MSM model better predicts an investor's downside risk in that the VaR predictions are more accurate than the predictions from the alternative models. Chapter 3 of this thesis investigates the excess commodity comovement phenomenon, using the MSM model. One of the stylized facts of commodity prices is their tendency for comovement. The phenomenon implies that seemingly unrelated commodities tend to move together beyond what can be attributed to fundamentals, such as demand and supply conditions, exchange rates, interest rates, industrial production etc. Excess commodity comovement bears significant welfare and risk management implications. For an instance, a synchronous rise in prices of commodities exerts significant inflationary pressure on commodity import dependent countries, and limits their ability to maintain economic stability and resist inflationary pressures. Moreover, to the extent that comovement measures, such as correlation and covariance among commodities, comprise an essential ingredient in risk assessment, pricing, portfolio management and hedging, failure to account for such excess comovement can lead to sub-optimal economic decisions. Therefore within the debate on excess commodity comovement, the objective of this chapter is twofold. First, it analyzes the degree of excess commodity comovement across a variety of commodities. Second, it analyzes the frequency-dependent nature of comovement across related (e.g. crude and heating oil) and unrelated commodities (e.g. copper and corn). First, we find that there is significant comovement between commodity prices, beyond what can simply be explained by macroeconomic fundamentals. Second, decomposing comovements into multiple frequencies, we find that all commodities exhibit long-run excess comovements which are driven by low frequency fundamentals such as weather, demographic and macroeconomic factors. But some commodities also exhibit significant short-run excess comovements that may be attributable to short-run factors such as liquidity constraints, indexation, etc. Third, the dynamic correlations show that excess comovements are higher in periods of high volatility and vice-versa. The final chapter applies a new class of model, the Autoregressive Markov switching multifractal model, for forecasting spot electricity prices. Three variants of the model are examinedEmploying hourly prices from the AESO market, the parameters of the ARX-MSM models are estimated, and one-step-ahead hourly forecasts are obtained. To put the performance of the ARX-MSM models into perspective, the results are compared to those of other notable models used in the literature, namely the AR(1), ARX, ARX-GARCH, mean-reverting jump and the 2-state independent Markov regime switching models. Goodness-of-fit tests indicate that the ARX-MSM models fit the data significantly better than the competing models. Likewise, out-of-sample results show that the ARX-MSM models provide better forecast accuracy.
Download or read book Threshold Autoregressive and Markov Switching Models written by Chris Brooks and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Although financial theory rests heavily upon the assumption that asset returns are normally distributed, value indices of commercial real estate display significant departures from normality. In this paper, we apply and compare the properties of two recently proposed regime switching models for value indices of commercial real estate in the US and the UK, both of which relax the assumption that observations are drawn from a single distribution with constant mean and variance. Statistical tests of the models' specification indicate that the Markov switching model is better able to capture the non-stationary features of the data than the threshold autoregressive model, although both represent superior descriptions of the data than models that allow for only one state. Our results have several implications for theoretical models and empirical research in finance.
Download or read book Modelling Volatility with Markov switching GARCH Models written by María Ferrer Fernández and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multivariate Regime Switching GARCH with an Application to International Stock Markets written by Markus Haas and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book GARCH Models written by Christian Francq and published by John Wiley & Sons. This book was released on 2019-03-19 with total page 504 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.
Download or read book Handbook of Volatility Models and Their Applications written by Luc Bauwens and published by John Wiley & Sons. This book was released on 2012-04-17 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete guide to the theory and practice of volatility models in financial engineering Volatility has become a hot topic in this era of instant communications, spawning a great deal of research in empirical finance and time series econometrics. Providing an overview of the most recent advances, Handbook of Volatility Models and Their Applications explores key concepts and topics essential for modeling the volatility of financial time series, both univariate and multivariate, parametric and non-parametric, high-frequency and low-frequency. Featuring contributions from international experts in the field, the book features numerous examples and applications from real-world projects and cutting-edge research, showing step by step how to use various methods accurately and efficiently when assessing volatility rates. Following a comprehensive introduction to the topic, readers are provided with three distinct sections that unify the statistical and practical aspects of volatility: Autoregressive Conditional Heteroskedasticity and Stochastic Volatility presents ARCH and stochastic volatility models, with a focus on recent research topics including mean, volatility, and skewness spillovers in equity markets Other Models and Methods presents alternative approaches, such as multiplicative error models, nonparametric and semi-parametric models, and copula-based models of (co)volatilities Realized Volatility explores issues of the measurement of volatility by realized variances and covariances, guiding readers on how to successfully model and forecast these measures Handbook of Volatility Models and Their Applications is an essential reference for academics and practitioners in finance, business, and econometrics who work with volatility models in their everyday work. The book also serves as a supplement for courses on risk management and volatility at the upper-undergraduate and graduate levels.
Download or read book Financial Risk Management with Bayesian Estimation of GARCH Models written by David Ardia and published by Springer Science & Business Media. This book was released on 2008-05-08 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents in detail methodologies for the Bayesian estimation of sing- regime and regime-switching GARCH models. These models are widespread and essential tools in n ancial econometrics and have, until recently, mainly been estimated using the classical Maximum Likelihood technique. As this study aims to demonstrate, the Bayesian approach o ers an attractive alternative which enables small sample results, robust estimation, model discrimination and probabilistic statements on nonlinear functions of the model parameters. The author is indebted to numerous individuals for help in the preparation of this study. Primarily, I owe a great debt to Prof. Dr. Philippe J. Deschamps who inspired me to study Bayesian econometrics, suggested the subject, guided me under his supervision and encouraged my research. I would also like to thank Prof. Dr. Martin Wallmeier and my colleagues of the Department of Quantitative Economics, in particular Michael Beer, Roberto Cerratti and Gilles Kaltenrieder, for their useful comments and discussions. I am very indebted to my friends Carlos Ord as Criado, Julien A. Straubhaar, J er ^ ome Ph. A. Taillard and Mathieu Vuilleumier, for their support in the elds of economics, mathematics and statistics. Thanks also to my friend Kevin Barnes who helped with my English in this work. Finally, I am greatly indebted to my parents and grandparents for their support and encouragement while I was struggling with the writing of this thesis.
