Download or read book Estimation of Long Memory in Volatility Using Wavelets written by Lucie Kraicova and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This work studies wavelet-based Whittle estimator of the Fractionally Integrated Exponential Generalized Autoregressive Conditional Heteroscedasticity (FIEGARCH) model, often used for modeling long memory in volatility of financial assets. The newly proposed estimator approximates the spectral density using wavelet transform, which makes it more robust to certain types of irregularities in data. Based on an extensive Monte Carlo study, both behaviour of the proposed estimator and its relative performance with respect to traditional estimators are assessed. In addition, we study properties of the estimators in presence of jumps, which brings interesting discussion. We find that wavelet-based estimator may become an attractive robust and fast alternative to the traditional methods of estimation.
Download or read book Long Memory in Stock Returns written by Avishek Bhandari and published by . This book was released on 2018 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The estimation and the analysis of long memory parameters have mainly focused on the analysis of long-range dependence in stock return volatility using traditional time and spectral domain estimators of long memory. The definitive ubiquity and existence of long memory in the volatility of stock returns is an established stylized fact. The presence of long memory requires major revisions in the standard estimation procedures without which the estimated results can be seriously biased. Therefore, a wavelet based semi-parametric estimator of long range dependence is applied to test for the presence of long memory in the Indian stock returns and returns volatility. We find the presence of long memory in the volatility of the stock returns as well as the returns themselves, when the analysis is performed using rolling windows. The presence of long-memory implies that distant observations in each of the volatility series are related to each other. This implication leads to the rejection of efficient markets as long range dependence in returns volatility seems to be incompatible with market efficiency.
Download or read book Long Memory in Economics written by Gilles Teyssière and published by Springer Science & Business Media. This book was released on 2006-09-22 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assembles three different strands of long memory analysis: statistical literature on the properties of, and tests for, LRD processes; mathematical literature on the stochastic processes involved; and models from economic theory providing plausible micro foundations for the occurrence of long memory in economics.
Download or read book Long Memory in the Volatility of Indian Financial Market An Empirical Analysis Based on Indian Data written by Dilip Kumar and published by Anchor Academic Publishing (aap_verlag). This book was released on 2014-04-10 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the long memory characteristics in the volatility of the Indian stock market, the Indian exchange rates and the Indian banking sector. This book also reviews the chain of approaches to estimate the long memory parameter. The long memory characteristics of the financial time series are widely studied and have implications for various economics and finance theories. The most important financial implication is related to the violation of the weak-form of market efficiency which encourages the traders, investors and portfolio managers to develop models for making predictions and to construct and implement speculative trading and investment strategies. In an efficient market, the price of an asset should follow a random walk process in which the price change is unaffected by ist lagged price changes and has no memory.
Download or read book Using Wavelets to Estimate the Long Memory Parameter and Detect Long Memory Phenomena in the Presence of Deterministic Trend written by Haidong Liu and published by . This book was released on 2005 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Long Memory Processes written by Jan Beran and published by Springer Science & Business Media. This book was released on 2013-05-14 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: Long-memory processes are known to play an important part in many areas of science and technology, including physics, geophysics, hydrology, telecommunications, economics, finance, climatology, and network engineering. In the last 20 years enormous progress has been made in understanding the probabilistic foundations and statistical principles of such processes. This book provides a timely and comprehensive review, including a thorough discussion of mathematical and probabilistic foundations and statistical methods, emphasizing their practical motivation and mathematical justification. Proofs of the main theorems are provided and data examples illustrate practical aspects. This book will be a valuable resource for researchers and graduate students in statistics, mathematics, econometrics and other quantitative areas, as well as for practitioners and applied researchers who need to analyze data in which long memory, power laws, self-similar scaling or fractal properties are relevant.
Download or read book On the Spectral Density of the Wavelet Coefficients of Long Memory Time Series with Application to the Log Regression Estimation of the Memory Parameter written by E. Moulines and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, methods to estimate the memory parameter using wavelet analysis have gained popularity in many areas of science. Despite its widespread use, a rigorous semi-parametric asymptotic theory, comparable with the one developed for Fourier methods, is still lacking. In this article, we adapt to the wavelet setting, the classical semi-parametric framework introduced by Robinson and his co-authors for estimating the memory parameter of a (possibly) non-stationary process. Our results apply to a class of wavelets with bounded supports, which include but are not limited to Daubechies wavelets. We derive an explicit expression of the spectral density of the wavelet coefficients and show that it can be approximated, at large scales, by the spectral density of the continuous-time wavelet coefficients of fractional Brownian motion. We derive an explicit bound for the difference between the spectral densities. As an application, we obtain minimax upper bounds for the log-scale regression estimator of the memory parameter for a Gaussian process and we derive an explicit expression of its asymptotic variance.
Download or read book Bayesian Inference of Long Memory Stochastic Volatility Via Wavelets written by Mark J. Jensen and published by . This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we are concerned with estimating the fractional order of integration associated with a long-memory stochastic volatility model. We develop a new Bayesian estimator based on the Markov chain Monte Carlo sampler and the wavelet representation of the log-squared returns to draw values of the fractional order of integration and latent volatilities from their joint posterior distribution. Unlike short-memory stochastic volatility models, long-memory stochastic volatility models do not have a state-space representation, and thus their sampler cannot employ the Kalman filters simulation smoother to update the chain of latent volatilities. Instead, we design a simulator where the latent long-memory volatilities are drawn quickly and efficiently from the near independent multivariate distribution of the long-memory volatility's wavelet coefficients. We find that sampling volatility in the wavelet domain, rather than in the time domain, leads to a fast and simulation-efficient sampler of the posterior distribution for the volatility's long-memory parameter and serves as a promising alternative estimator to the existing frequentist based estimators of long-memory volatility.
Download or read book Wavelet Applications in Economics and Finance written by Marco Gallegati and published by Springer. This book was released on 2014-08-04 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the application of wavelet and spectral methods for the analysis of nonlinear and dynamic processes in economics and finance. It reflects some of the latest developments in the area of wavelet methods applied to economics and finance. The topics include business cycle analysis, asset prices, financial econometrics, and forecasting. An introductory paper by James Ramsey, providing a personal retrospective of a decade's research on wavelet analysis, offers an excellent overview over the field.
Download or read book An Introduction to Wavelet Theory in Finance written by Francis In and published by World Scientific. This book was released on 2013 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to wavelet theory and provides the essence of wavelet analysis OCo including Fourier analysis and spectral analysis; the maximum overlap discrete wavelet transform; wavelet variance, covariance, and correlation OCo in a unified and friendly manner. It aims to bridge the gap between theory and practice by presenting substantial applications of wavelets in economics and finance.This book is the first to provide a comprehensive application of wavelet analysis to financial markets, covering new frontier issues in empirical finance and economics. The first chapter of this unique text starts with a description of the key features and applications of wavelets. After an overview of wavelet analysis, successive chapters rigorously examine the various economic and financial topics and issues that stimulate academic and professional research, including equity, interest swaps, hedges and futures, foreign exchanges, financial asset pricing, and mutual fund markets.This detail-oriented text is descriptive and designed purely for academic researchers and financial practitioners. It assumes no prior knowledge of econometrics and covers important topics such as portfolio asset allocation, asset pricing, hedging strategies, new risk measures, and mutual fund performance. Its accessible presentation is also suitable for post-graduates in a variety of disciplines OCo applied economics, financial engineering, international finance, financial econometrics, and fund management. To facilitate the subject of wavelets, sophisticated proofs and mathematics are avoided as much as possible when applying the wavelet multiscaling method. To enhance the reader''s understanding in practical applications of the wavelet multiscaling method, this book provides sample programming instruction backed by Matlab wavelet code.
Download or read book An Introduction to Wavelets and Other Filtering Methods in Finance and Economics written by Ramazan Gençay and published by Elsevier. This book was released on 2001-10-12 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Wavelets and Other Filtering Methods in Finance and Economics presents a unified view of filtering techniques with a special focus on wavelet analysis in finance and economics. It emphasizes the methods and explanations of the theory that underlies them. It also concentrates on exactly what wavelet analysis (and filtering methods in general) can reveal about a time series. It offers testing issues which can be performed with wavelets in conjunction with the multi-resolution analysis. The descriptive focus of the book avoids proofs and provides easy access to a wide spectrum of parametric and nonparametric filtering methods. Examples and empirical applications will show readers the capabilities, advantages, and disadvantages of each method. The first book to present a unified view of filtering techniques Concentrates on exactly what wavelets analysis and filtering methods in general can reveal about a time series Provides easy access to a wide spectrum of parametric and non-parametric filtering methods
Download or read book Studies in International Economics and Finance written by Naoyuki Yoshino and published by Springer Nature. This book was released on 2022-03-30 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: This festschrift volume presents discussions on contemporary issues in international economics and finance. It is aimed to serve as a reference material for researchers. There are two broad sections of the book -- International Macroeconomics and International Finance. The chapters in the International Macroeconomics section discuss critical topics like aggregate level macro model for India with a new Keynesian perspective, balance of payments, service sector exports, foreign exchange constraints for import demands, foreign direct investment and knowledge spill over, the relationship between forex rate fluctuation and investment, Institutional quality-trade openness-economic growth nexus, currency crises and debt-deficit relationship in the BRICS countries in the backdrop of COVID-19. Apart from these, various analytical issues related to macroeconomic policies are also covered in this section. The topics discussed includes the nature of forex market interventions, the issue of disinvestment and privatization, changing nature of fiscal policy, the inflation-growth nexus, macroeconomic simulation modelling, measuring core inflation, central bank credibility, monetary policy, inflation targeting, Infrastructure, trade, unemployment and inequality nexus. In the International Finance section, topics such as COVID-19 induced financial crisis, commodity futures volatility, stock market connectivity, volatility persistence, determinants of sovereign bond yields, FII and stock market volatility, cryptocurrency price formation, financialization of Indian commodity market, and a Keynesian view of the financial crisis are discussed. Overall, thirty two chapters in the volume discuss cutting edge research in the areas of the two sections. A tour de force... a lucid guide to some of the diverse and complex issues in International Macroeconomics and Finance. This collection of scholarly works is a fitting tribute to respected Prof. Bandi Kamaiah and his enviable academic contributions. - Prof. Y V Reddy, Former Governor, Reserve Bank of India This volume comprising thoughtful essays by our leading scholars on some of important policy issues that India is facing is indeed a rich tribute to Professor Bandi Kamaiah . This book will greatly benefit the academic community as well as our policy makers. - Prof. Vijay Kelkar, Chairman, 13th Finance Commission of India; Chairman, India Development Foundation, Mumbai, India Noted economists from India and abroad gather to apply the rigorous searchlight that Professor Bandi Kamaiah used so effectively in his career. Major current topics in macroeconomics and international finance are effectively explored in the volume. - Prof. Ashima Goyal, Emeritus Professor, Indira Gandhi Institute of Development Research, Mumbai, India; and Member, Monetary Policy Committee of Reserve Bank of India This volume of 32 papers in macroeconomics, international economics, and international finance is intended as a tribute to the eminent econometrician , Prof B Kamaiah. Post-graduate students and researchers will find much valuable literature in the volume, which is a fitting tribute to Prof Kamaiah. The editors and authors deserve rich compliments. - Prof. K L Krishna, Former Director, Delhi School of Economics, New Delhi, India I am so happy to hear that Dr. Kamaiah's colleagues and ex-students are bringing out a special volume of articles in his honor. Nothing can be more appropriate. Dr. Kamaiah, being a man of tremendous publications, deserves this tribute. I wish all the luck and success to the new book. - Prof. Kishore Kulkarni, Distinguished Professor of Economics, Metropolitan State University of Denver, USA
Download or read book Wavelet Based Inference for Long Memory Processes written by Alex Gonzaga and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A long-memory process may be characterized by its corresponding wavelet variance, an analogue of the spectrum, which decomposes the variance of a process with respect to a variable called scale. In this paper, we derive the variance of the logarithm of the maximal-overlap estimator - a relatively efficient estimator of the wavelet variance. We use this to obtain a weighted-least-square estimator and a test for the long-memory parameter. We show that this weighted-least-square estimator is more statistically efficient than the one based on the wavelet-transform estimator of the wavelet variance. Finally, we apply these estimators and tests to determine the long-memory parameter of the Nile river data, a well-known long-memory process.
Download or read book Wavelet based Estimation for Trend Contaminated Long Memory Processes written by Peter Francis Craigmile and published by . This book was released on 2000 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantitative Methods in Economics and Finance written by Tomas Kliestik and published by MDPI. This book was released on 2021-04-08 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the Special Issue “Quantitative Methods in Economics and Finance” of the journal Risks was to provide a collection of papers that reflect the latest research and problems of pricing complex derivates, simulation pricing, analysis of financial markets, and volatility of exchange rates in the international context. This book can be used as a reference for academicians and researchers who would like to discuss and introduce new developments in the field of quantitative methods in economics and finance and explore applications of quantitative methods in other business areas.
Download or read book Risk Management written by Nerija Banaitiene and published by BoD – Books on Demand. This book was released on 2012-09-12 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every business and decision involves a certain amount of risk. Risk might cause a loss to a company. This does not mean, however, that businesses cannot take risks. As disengagement and risk aversion may result in missed business opportunities, which will lead to slower growth and reduced prosperity of a company. In today's increasingly complex and diverse environment, it is crucial to find the right balance between risk aversion and risk taking. To do this it is essential to understand the complex, out of the whole range of economic, technical, operational, environmental and social risks associated with the company's activities. However, risk management is about much more than merely avoiding or successfully deriving benefit from opportunities. Risk management is the identification, assessment, and prioritization of risks. Lastly, risk management helps a company to handle the risks associated with a rapidly changing business environment.
Download or read book Time Series Analysis with Long Memory in View written by Uwe Hassler and published by John Wiley & Sons. This book was released on 2018-10-30 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a simple exposition of the basic time series material, and insights into underlying technical aspects and methods of proof Long memory time series are characterized by a strong dependence between distant events. This book introduces readers to the theory and foundations of univariate time series analysis with a focus on long memory and fractional integration, which are embedded into the general framework. It presents the general theory of time series, including some issues that are not treated in other books on time series, such as ergodicity, persistence versus memory, asymptotic properties of the periodogram, and Whittle estimation. Further chapters address the general functional central limit theory, parametric and semiparametric estimation of the long memory parameter, and locally optimal tests. Intuitive and easy to read, Time Series Analysis with Long Memory in View offers chapters that cover: Stationary Processes; Moving Averages and Linear Processes; Frequency Domain Analysis; Differencing and Integration; Fractionally Integrated Processes; Sample Means; Parametric Estimators; Semiparametric Estimators; and Testing. It also discusses further topics. This book: Offers beginning-of-chapter examples as well as end-of-chapter technical arguments and proofs Contains many new results on long memory processes which have not appeared in previous and existing textbooks Takes a basic mathematics (Calculus) approach to the topic of time series analysis with long memory Contains 25 illustrative figures as well as lists of notations and acronyms Time Series Analysis with Long Memory in View is an ideal text for first year PhD students, researchers, and practitioners in statistics, econometrics, and any application area that uses time series over a long period. It would also benefit researchers, undergraduates, and practitioners in those areas who require a rigorous introduction to time series analysis.
