Stochastic Volatility and Time Deformation

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

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Book Synopsis Stochastic Volatility and Time Deformation by : Joann Jasiak

Download or read book Stochastic Volatility and Time Deformation written by Joann Jasiak and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we study stochastic volatility models with time deformation. Such processes relate to the early work by Mandelbrot and Taylor (1967), Clark (1973), Tauchen and Pitts (1983), among others. In our setup, the latent process of stochastic volatility evolves in an operational time which differs from calendar time. The time deformation can be determined by past volume of trade, past returns, possibly with an asymmetric leverage effect, and other variables setting the pace of information arrival. The econometric specification exploits the state-space approach for stochastic volatility models proposed by Harvey, Ruiz and Shephard (1994) as well as the matching moment estimation procedure using SNP densities of stock returns and trading volume estimated by Gallant, Rossi and Tauchen (1992). Daily data on returns and trading volume of the NYSE are used in the empirical application. Supporting evidence for a time deformation representation is found and its impact on the behavior of returns and volume is analyzed. We find that increases in volume accelerate operational time, resulting in volatility being less persistent and subject to shocks with a higher innovation variance. Downward price movements have similar effects while upward price movements increase the persistence in volatility and decrease the dispersion of shocks by slowing down market time. We present the basic model as well as several extensions; in particular, we formulate and estimate a bivariate return-volume stochastic volatility model with time deformation. The latter is examined through bivariate impulse response profiles following the example of Gallant, Rossi and Tauchen (1993).

Stochastic Volatility and Time Deformation : an Application of Trading Volume and Leverage Effects

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Publisher : Montréal : CIRANO
ISBN 13 :
Total Pages : 35 pages
Book Rating : 4.:/5 (424 download)

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Book Synopsis Stochastic Volatility and Time Deformation : an Application of Trading Volume and Leverage Effects by : Ghysels, Eric

Download or read book Stochastic Volatility and Time Deformation : an Application of Trading Volume and Leverage Effects written by Ghysels, Eric and published by Montréal : CIRANO. This book was released on 1994 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Complex Dynamics of Economic Interaction

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Publisher : Springer Science & Business Media
ISBN 13 : 3642170455
Total Pages : 404 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis The Complex Dynamics of Economic Interaction by : Mauro Gallegati

Download or read book The Complex Dynamics of Economic Interaction written by Mauro Gallegati and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The economy is examined by the authors as a complex interactive system. The emphasis is on the direct interaction between agents rather than on the indirect and autonomous interaction through the market mechanism. Contributions from economists and physicists emphasise the consequences for aggregate behaviour of the interaction between agents with limited rationality. Models of financial markets which exhibit many of the stylised facts of empirical markets such as bubbles, herd behaviour and long memory are presented. This includes contributions on bargaining, buyer-seller relations, the evolution of economic networks and several aspects of macro-economic behaviour. This book will be of interest to all those interested in the foundations of collective social and economic behaviour and in particular, to those concerned with the dynamics of market behaviour and recent applications of physics to economics.

Advances in Time Series Methods and Applications

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Publisher : Springer
ISBN 13 : 1493965689
Total Pages : 298 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Advances in Time Series Methods and Applications by : Wai Keung Li

Download or read book Advances in Time Series Methods and Applications written by Wai Keung Li and published by Springer. This book was released on 2016-12-02 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews and summarizes some of A. I. McLeod's significant contributions to time series analysis. It also contains original contributions to the field and to related areas by participants of the festschrift held in June 2014 and friends of Dr. McLeod. Covering a diverse range of state-of-the-art topics, this volume well balances applied and theoretical research across fourteen contributions by experts in the field. It will be of interest to researchers and practitioners in time series, econometricians, and graduate students in time series or econometrics, as well as environmental statisticians, data scientists, statisticians interested in graphical models, and researchers in quantitative risk management.

An Introduction to High-Frequency Finance

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Publisher : Elsevier
ISBN 13 : 008049904X
Total Pages : 411 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis An Introduction to High-Frequency Finance by : Ramazan Gençay

Download or read book An Introduction to High-Frequency Finance written by Ramazan Gençay and published by Elsevier. This book was released on 2001-05-29 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Liquid markets generate hundreds or thousands of ticks (the minimum change in price a security can have, either up or down) every business day. Data vendors such as Reuters transmit more than 275,000 prices per day for foreign exchange spot rates alone. Thus, high-frequency data can be a fundamental object of study, as traders make decisions by observing high-frequency or tick-by-tick data. Yet most studies published in financial literature deal with low frequency, regularly spaced data. For a variety of reasons, high-frequency data are becoming a way for understanding market microstructure. This book discusses the best mathematical models and tools for dealing with such vast amounts of data. This book provides a framework for the analysis, modeling, and inference of high frequency financial time series. With particular emphasis on foreign exchange markets, as well as currency, interest rate, and bond futures markets, this unified view of high frequency time series methods investigates the price formation process and concludes by reviewing techniques for constructing systematic trading models for financial assets.

Handbook of Volatility Models and Their Applications

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Publisher : John Wiley & Sons
ISBN 13 : 0470872519
Total Pages : 566 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Handbook of Volatility Models and Their Applications by : Luc Bauwens

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.

Stochastic Volatility, Trading Volume, and the Daily Flow of Information

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Publisher :
ISBN 13 :
Total Pages : 39 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Stochastic Volatility, Trading Volume, and the Daily Flow of Information by : Jeff Fleming

Download or read book Stochastic Volatility, Trading Volume, and the Daily Flow of Information written by Jeff Fleming and published by . This book was released on 2009 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: We use state-space methods to investigate the relation between volume, volatility, and ARCH effects within a Mixture-of-Distributions Hypothesis (MDH) framework. In most recent studies of the MDH, the information flow or its logarithm is modeled as an AR(1) process. We argue that this is too restrictive because it requires the information flow to be highly persistent. Using a more general process, we find evidence of a large nonpersistent component of return volatility that is closely related to the contemporaneous nonpersistent component of trading volume. However, unlike previous studies that fit volume-augmented GARCH models, we find no evidence that trading volume subsumes ARCH effects. Because volume-augmented GARCH models are subject to simultaneity bias, our findings should be more robust than these prior results.

Journal of Econometrics

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Publisher :
ISBN 13 :
Total Pages : 830 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis Journal of Econometrics by :

Download or read book Journal of Econometrics written by and published by . This book was released on 1998 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Volatility and Realized Stochastic Volatility Models

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Publisher : Springer Nature
ISBN 13 : 981990935X
Total Pages : 120 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Stochastic Volatility and Realized Stochastic Volatility Models by : Makoto Takahashi

Download or read book Stochastic Volatility and Realized Stochastic Volatility Models written by Makoto Takahashi and published by Springer Nature. This book was released on 2023-04-18 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This treatise delves into the latest advancements in stochastic volatility models, highlighting the utilization of Markov chain Monte Carlo simulations for estimating model parameters and forecasting the volatility and quantiles of financial asset returns. The modeling of financial time series volatility constitutes a crucial aspect of finance, as it plays a vital role in predicting return distributions and managing risks. Among the various econometric models available, the stochastic volatility model has been a popular choice, particularly in comparison to other models, such as GARCH models, as it has demonstrated superior performance in previous empirical studies in terms of fit, forecasting volatility, and evaluating tail risk measures such as Value-at-Risk and Expected Shortfall. The book also explores an extension of the basic stochastic volatility model, incorporating a skewed return error distribution and a realized volatility measurement equation. The concept of realized volatility, a newly established estimator of volatility using intraday returns data, is introduced, and a comprehensive description of the resulting realized stochastic volatility model is provided. The text contains a thorough explanation of several efficient sampling algorithms for latent log volatilities, as well as an illustration of parameter estimation and volatility prediction through empirical studies utilizing various asset return data, including the yen/US dollar exchange rate, the Dow Jones Industrial Average, and the Nikkei 225 stock index. This publication is highly recommended for readers with an interest in the latest developments in stochastic volatility models and realized stochastic volatility models, particularly in regards to financial risk management.

The Volatility Surface

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Publisher : John Wiley & Sons
ISBN 13 : 1118046455
Total Pages : 204 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis The Volatility Surface by : Jim Gatheral

Download or read book The Volatility Surface written by Jim Gatheral and published by John Wiley & Sons. This book was released on 2011-03-10 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for The Volatility Surface "I'm thrilled by the appearance of Jim Gatheral's new book The Volatility Surface. The literature on stochastic volatility is vast, but difficult to penetrate and use. Gatheral's book, by contrast, is accessible and practical. It successfully charts a middle ground between specific examples and general models--achieving remarkable clarity without giving up sophistication, depth, or breadth." --Robert V. Kohn, Professor of Mathematics and Chair, Mathematical Finance Committee, Courant Institute of Mathematical Sciences, New York University "Concise yet comprehensive, equally attentive to both theory and phenomena, this book provides an unsurpassed account of the peculiarities of the implied volatility surface, its consequences for pricing and hedging, and the theories that struggle to explain it." --Emanuel Derman, author of My Life as a Quant "Jim Gatheral is the wiliest practitioner in the business. This very fine book is an outgrowth of the lecture notes prepared for one of the most popular classes at NYU's esteemed Courant Institute. The topics covered are at the forefront of research in mathematical finance and the author's treatment of them is simply the best available in this form." --Peter Carr, PhD, head of Quantitative Financial Research, Bloomberg LP Director of the Masters Program in Mathematical Finance, New York University "Jim Gatheral is an acknowledged master of advanced modeling for derivatives. In The Volatility Surface he reveals the secrets of dealing with the most important but most elusive of financial quantities, volatility." --Paul Wilmott, author and mathematician "As a teacher in the field of mathematical finance, I welcome Jim Gatheral's book as a significant development. Written by a Wall Street practitioner with extensive market and teaching experience, The Volatility Surface gives students access to a level of knowledge on derivatives which was not previously available. I strongly recommend it." --Marco Avellaneda, Director, Division of Mathematical Finance Courant Institute, New York University "Jim Gatheral could not have written a better book." --Bruno Dupire, winner of the 2006 Wilmott Cutting Edge Research Award Quantitative Research, Bloomberg LP

Stochastic volatility and the pricing of financial derivatives

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Publisher : Rozenberg Publishers
ISBN 13 : 9051705778
Total Pages : 358 pages
Book Rating : 4.0/5 (517 download)

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Book Synopsis Stochastic volatility and the pricing of financial derivatives by : Antoine Petrus Cornelius van der Ploeg

Download or read book Stochastic volatility and the pricing of financial derivatives written by Antoine Petrus Cornelius van der Ploeg and published by Rozenberg Publishers. This book was released on 2006 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Trading Patterns, Time Deformation and Stochastic Volatility in Foreign Exchange Markets

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Publisher : Montréal : CIRANO
ISBN 13 :
Total Pages : 49 pages
Book Rating : 4.:/5 (359 download)

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Book Synopsis Trading Patterns, Time Deformation and Stochastic Volatility in Foreign Exchange Markets by : Ghysels, Eric

Download or read book Trading Patterns, Time Deformation and Stochastic Volatility in Foreign Exchange Markets written by Ghysels, Eric and published by Montréal : CIRANO. This book was released on 1995 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Volatility in Financial Markets

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Publisher : Springer Science & Business Media
ISBN 13 : 1461545331
Total Pages : 156 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Stochastic Volatility in Financial Markets by : Antonio Mele

Download or read book Stochastic Volatility in Financial Markets written by Antonio Mele and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Volatility in Financial Markets presents advanced topics in financial econometrics and theoretical finance, and is divided into three main parts. The first part aims at documenting an empirical regularity of financial price changes: the occurrence of sudden and persistent changes of financial markets volatility. This phenomenon, technically termed `stochastic volatility', or `conditional heteroskedasticity', has been well known for at least 20 years; in this part, further, useful theoretical properties of conditionally heteroskedastic models are uncovered. The second part goes beyond the statistical aspects of stochastic volatility models: it constructs and uses new fully articulated, theoretically-sounded financial asset pricing models that allow for the presence of conditional heteroskedasticity. The third part shows how the inclusion of the statistical aspects of stochastic volatility in a rigorous economic scheme can be faced from an empirical standpoint.

Statistical Methods in Finance

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ISBN 13 :
Total Pages : 760 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Statistical Methods in Finance by : G. S. Maddala

Download or read book Statistical Methods in Finance written by G. S. Maddala and published by . This book was released on 1996-12-11 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive reference work for teaching at graduate level and research in empirical finance. The chapters cover a wide range of statistical and probabilistic methods applied to a variety of financial methods and are written by internationally renowned experts.

Trading Volume and Stochastic Volatility

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (93 download)

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Book Synopsis Trading Volume and Stochastic Volatility by : Sam Howison

Download or read book Trading Volume and Stochastic Volatility written by Sam Howison and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modeling Stochastic Volatility with Application to Stock Returns

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Publisher : International Monetary Fund
ISBN 13 : 1451854846
Total Pages : 30 pages
Book Rating : 4.4/5 (518 download)

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Book Synopsis Modeling Stochastic Volatility with Application to Stock Returns by : Mr.Noureddine Krichene

Download or read book Modeling Stochastic Volatility with Application to Stock Returns written by Mr.Noureddine Krichene and published by International Monetary Fund. This book was released on 2003-06-01 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: A stochastic volatility model where volatility was driven solely by a latent variable called news was estimated for three stock indices. A Markov chain Monte Carlo algorithm was used for estimating Bayesian parameters and filtering volatilities. Volatility persistence being close to one was consistent with both volatility clustering and mean reversion. Filtering showed highly volatile markets, reflecting frequent pertinent news. Diagnostics showed no model failure, although specification improvements were always possible. The model corroborated stylized findings in volatility modeling and has potential value for market participants in asset pricing and risk management, as well as for policymakers in the design of macroeconomic policies conducive to less volatile financial markets.

Stochastic Volatility

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Publisher : OUP Oxford
ISBN 13 : 0191531421
Total Pages : 536 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Stochastic Volatility by : Neil Shephard

Download or read book Stochastic Volatility written by Neil Shephard and published by OUP Oxford. This book was released on 2005-03-10 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic volatility is the main concept used in the fields of financial economics and mathematical finance to deal with time-varying volatility in financial markets. This book brings together some of the main papers that have influenced the field of the econometrics of stochastic volatility, and shows that the development of this subject has been highly multidisciplinary, with results drawn from financial economics, probability theory, and econometrics, blending to produce methods and models that have aided our understanding of the realistic pricing of options, efficient asset allocation, and accurate risk assessment. A lengthy introduction by the editor connects the papers with the literature.