Modeling Fat Tails in Stock Returns

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ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Modeling Fat Tails in Stock Returns by : Matteo Bonato

Download or read book Modeling Fat Tails in Stock Returns written by Matteo Bonato and published by . This book was released on 2009 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper a new multivariate volatility model is proposed. It combines the appealing properties of the stable Paretian distribution to model the heavy tails with the GARCH model to capture the volatility clustering. We assume that multivariate asset-returns of financial stocks follow a sub-Gaussian distribution, which is a particular multivariate stable distribution. In this way the characteristic function of the fitted returns has a tractable expression and the density function can be recovered by numerical methods. A multivariate GARCH structure is then adopted to model the covariance matrix of the Gaussian vectors underlying the sub-Gaussian system. The model is applied to a bivariate series of daily U.S. stock returns. Value-at-Risk for long and short positions is computed and compared with the one obtained using the multivariate normal and the multivariate Student's t distribution. Finally, exploiting the recent developments in the vast dimensional time-varying covariances modeling, possible feasible extensions to higher dimensions are suggested and an illustrative example using the Dow Jones index components is presented.

Fat-Tailed and Skewed Asset Return Distributions

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Publisher : Wiley
ISBN 13 : 0471758906
Total Pages : 369 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Fat-Tailed and Skewed Asset Return Distributions by : Svetlozar T. Rachev

Download or read book Fat-Tailed and Skewed Asset Return Distributions written by Svetlozar T. Rachev and published by Wiley. This book was released on 2005-09-15 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: While mainstream financial theories and applications assume that asset returns are normally distributed, overwhelming empirical evidence shows otherwise. Yet many professionals don’t appreciate the highly statistical models that take this empirical evidence into consideration. Fat-Tailed and Skewed Asset Return Distributions examines this dilemma and offers readers a less technical look at how portfolio selection, risk management, and option pricing modeling should and can be undertaken when the assumption of a non-normal distribution for asset returns is violated. Topics covered in this comprehensive book include an extensive discussion of probability distributions, estimating probability distributions, portfolio selection, alternative risk measures, and much more. Fat-Tailed and Skewed Asset Return Distributions provides a bridge between the highly technical theory of statistical distributional analysis, stochastic processes, and econometrics of financial returns and real-world risk management and investments.

Modelling Fat Tails in Stock Market Index Returns

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Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.:/5 (892 download)

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Book Synopsis Modelling Fat Tails in Stock Market Index Returns by : Franziska Rüdele

Download or read book Modelling Fat Tails in Stock Market Index Returns written by Franziska Rüdele and published by . This book was released on 2012 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Financial Econometrics and Statistics

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Publisher : Springer
ISBN 13 : 9781461477495
Total Pages : 0 pages
Book Rating : 4.4/5 (774 download)

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Book Synopsis Handbook of Financial Econometrics and Statistics by : Cheng-Few Lee

Download or read book Handbook of Financial Econometrics and Statistics written by Cheng-Few Lee and published by Springer. This book was released on 2014-09-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​The Handbook of Financial Econometrics and Statistics provides, in four volumes and over 100 chapters, a comprehensive overview of the primary methodologies in econometrics and statistics as applied to financial research. Including overviews of key concepts by the editors and in-depth contributions from leading scholars around the world, the Handbook is the definitive resource for both classic and cutting-edge theories, policies, and analytical techniques in the field. Volume 1 (Parts I and II) covers all of the essential theoretical and empirical approaches. Volumes 2, 3, and 4 feature contributed entries that showcase the application of financial econometrics and statistics to such topics as asset pricing, investment and portfolio research, option pricing, mutual funds, and financial accounting research. Throughout, the Handbook offers illustrative case examples and applications, worked equations, and extensive references, and includes both subject and author indices.​

Applications of Fat-tail Distributions in Analyzing Stock Returns

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (969 download)

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Book Synopsis Applications of Fat-tail Distributions in Analyzing Stock Returns by : Ah Hin Pooi

Download or read book Applications of Fat-tail Distributions in Analyzing Stock Returns written by Ah Hin Pooi and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Systems in Finance and Econometrics

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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.

Modelling the Fat Tail Distribution of Security Market Returns

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Publisher : Open Dissertation Press
ISBN 13 : 9781361387931
Total Pages : pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Modelling the Fat Tail Distribution of Security Market Returns by : Chun-Sun Choi

Download or read book Modelling the Fat Tail Distribution of Security Market Returns written by Chun-Sun Choi and published by Open Dissertation Press. This book was released on 2017-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Modelling the Fat Tail Distribution of Security Market Returns" by Chun-sun, Choi, 蔡進晨, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. DOI: 10.5353/th_b3197577 Subjects: Stock exchanges - China - Hong Kong - Statistical methods Distribution (Probability theory) Stock exchanges - Statistical methods

Fat-Tailed and Skewed Asset Return Distributions

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Publisher : John Wiley & Sons
ISBN 13 : 0471758906
Total Pages : 385 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Fat-Tailed and Skewed Asset Return Distributions by : Svetlozar T. Rachev

Download or read book Fat-Tailed and Skewed Asset Return Distributions written by Svetlozar T. Rachev and published by John Wiley & Sons. This book was released on 2005-09-15 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: While mainstream financial theories and applications assume that asset returns are normally distributed, overwhelming empirical evidence shows otherwise. Yet many professionals don’t appreciate the highly statistical models that take this empirical evidence into consideration. Fat-Tailed and Skewed Asset Return Distributions examines this dilemma and offers readers a less technical look at how portfolio selection, risk management, and option pricing modeling should and can be undertaken when the assumption of a non-normal distribution for asset returns is violated. Topics covered in this comprehensive book include an extensive discussion of probability distributions, estimating probability distributions, portfolio selection, alternative risk measures, and much more. Fat-Tailed and Skewed Asset Return Distributions provides a bridge between the highly technical theory of statistical distributional analysis, stochastic processes, and econometrics of financial returns and real-world risk management and investments.

On the Economic Value of Modeling Fat Tails

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Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis On the Economic Value of Modeling Fat Tails by : Prasad V. Bidarkota

Download or read book On the Economic Value of Modeling Fat Tails written by Prasad V. Bidarkota and published by . This book was released on 2003 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: We investigate the impact of modeling fat tails observed in the empirical distributions of macroeconomic time series on the implications of theoretical macroeconomic models. We study this issue in the context of the widely used consumption-based asset-pricing model. We derive exact analytical solutions to bond prices and risk premiums on forward prices and holding period returns in this model, assuming that the endowment evolves as a stochastic process with innovations drawn alternatively from fat-tailed and Gaussian distributions. We calculate and compare the implied risk premiums for suitable parameterizations of the two versions of the model.

The Origin of Fat Tails

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Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis The Origin of Fat Tails by : Martin Gremm

Download or read book The Origin of Fat Tails written by Martin Gremm and published by . This book was released on 2016 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: We propose a random walk model of asset returns where the parameters depend on market stress. Stress is measured by, e.g., the value of an implied volatility index. We show that model parameters including standard deviations and correlations can be estimated robustly and that all distributions are approximately normal. Fat tails in observed distributions occur because time series sample different stress levels and therefore different normal distributions. This provides a quantitative description of the observed distribution including the fat tails. We discuss simple applications in risk management and portfolio construction.

Statistical Consequences of Fat Tails

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Publisher :
ISBN 13 : 9781544508054
Total Pages : pages
Book Rating : 4.5/5 (8 download)

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Book Synopsis Statistical Consequences of Fat Tails by : Nassim Nicholas Taleb

Download or read book Statistical Consequences of Fat Tails written by Nassim Nicholas Taleb and published by . This book was released on 2020-06-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The book investigates the misapplication of conventional statistical techniques to fat tailed distributions and looks for remedies, when possible. Switching from thin tailed to fat tailed distributions requires more than "changing the color of the dress." Traditional asymptotics deal mainly with either n=1 or n=∞, and the real world is in between, under the "laws of the medium numbers"-which vary widely across specific distributions. Both the law of large numbers and the generalized central limit mechanisms operate in highly idiosyncratic ways outside the standard Gaussian or Levy-Stable basins of convergence. A few examples: - The sample mean is rarely in line with the population mean, with effect on "naïve empiricism," but can be sometimes be estimated via parametric methods. - The "empirical distribution" is rarely empirical. - Parameter uncertainty has compounding effects on statistical metrics. - Dimension reduction (principal components) fails. - Inequality estimators (Gini or quantile contributions) are not additive and produce wrong results. - Many "biases" found in psychology become entirely rational under more sophisticated probability distributions. - Most of the failures of financial economics, econometrics, and behavioral economics can be attributed to using the wrong distributions. This book, the first volume of the Technical Incerto, weaves a narrative around published journal articles.

A Stochastic Volatility Model with Fat Tails, Skewness and Leverage Effects

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ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis A Stochastic Volatility Model with Fat Tails, Skewness and Leverage Effects by : Daniel R. Smith

Download or read book A Stochastic Volatility Model with Fat Tails, Skewness and Leverage Effects written by Daniel R. Smith and published by . This book was released on 2007 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: We develop a new stochastic volatility model that captures the three most important features of stock index returns: negative correlation between returns and future volatility, excess kurtosis and negative skewness. We estimate the model parameters by maximum likelihood using a numerical integration-based filter to deal with the latent nature of volatility. In this approach different models are defined by varying the joint density of returns and future volatility conditional on current volatility. Our innovation is to construct the joint conditional density using a copula. This approach is tremendously flexible and allows the econometrician to choose the marginal distribution of both returns and volatility independently and then stitch them together using a copula, which is also chosen independently, to form the joint density. We also develop conditional moment-based model specification tests for the extent to which the various stochastic volatility models are able to capture the skewness and excess kurtosis we observe in practice. The parameter estimates and conditional moment tests indicate that leverage effects, excess kurtosis and skewness are all crucial for modeling stock returns.

The Fat Tail

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Publisher : Oxford University Press
ISBN 13 : 0199752885
Total Pages : 274 pages
Book Rating : 4.1/5 (997 download)

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Book Synopsis The Fat Tail by : Ian Bremmer

Download or read book The Fat Tail written by Ian Bremmer and published by Oxford University Press. This book was released on 2010-05-13 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Ian Bremmer and Preston Keat reveal in this innovative book, volatile political events such as the 2008 Georgia-Russia confrontation--and their catastrophic effects on business--happen much more frequently than investors imagine. On the curve that charts both the frequency of these events and the power of their impact, the "tail" of extreme political instability is not reassuringly thin but dangerously fat. Featuring a new Foreward that accounts for the cataclysmic effects of the 2008 financial crisis, The Fat Tail is the first book to both identify the wide range of political risks that global firms face and show investors how to effectively manage them. Written by two of the world's leading figures in political risk management, it reveals that while the world remains exceedingly risky for businesses, it is by no means incomprehensible. Political risk is unpredictable, but it is easier to analyze and manage than most people think. Applying the lessons of world history, Bremmer and Keat survey a vast range of contemporary risky situations, from stable markets like the United States or Japan, where politically driven regulation can still dramatically effect business, to more precarious places like Iran, China, Russia, Turkey, Mexico, and Nigeria, where private property is less secure and energy politics sparks constant volatility. The book sheds light on a wide array of political risks--risks that stem from great power rivalries, terrorist groups, government takeover of private property, weak leaders and internal strife, and even the "black swans" that defy prediction. But more importantly, the authors provide a wealth of unique methods, tools, and concepts to help corporations, money managers, and policy makers understand political risk, showing when and how political risk analysis works--and when it does not. "The Fat Tail delivers practical wisdom on the impact of political risk on firms of every description and valuable advice on how to use it. Ian Bremmer and Preston Keat offer innovative thinking and useful insight that will help business decision-makers find fresh answers to questions they may not yet know they have." --Fareed Zakaria, best-selling author of The Post-American World "Political risk has become increasingly complex, and The Fat Tail provides a truly new way to quantitatively assess it in established and emerging markets. It is essential reading for any CEO with multinational interests." --Randall Stephenson, Chairman, CEO and President, AT&T Inc. "Should be essential reading for anyone involved in international business even--perhaps especially--in places that seem politically stable." --Bill Emmott, former editor-in-chief of The Economist

Dynamic Models for Volatility and Heavy Tails

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Publisher : Cambridge University Press
ISBN 13 : 1107328780
Total Pages : 281 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Dynamic Models for Volatility and Heavy Tails by : Andrew C. Harvey

Download or read book Dynamic Models for Volatility and Heavy Tails written by Andrew C. Harvey and published by Cambridge University Press. This book was released on 2013-04-22 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volatility of financial returns changes over time and, for the last thirty years, Generalized Autoregressive Conditional Heteroscedasticity (GARCH) models have provided the principal means of analyzing, modeling and monitoring such changes. Taking into account that financial returns typically exhibit heavy tails - that is, extreme values can occur from time to time - Andrew Harvey's new book shows how a small but radical change in the way GARCH models are formulated leads to a resolution of many of the theoretical problems inherent in the statistical theory. The approach can also be applied to other aspects of volatility. The more general class of Dynamic Conditional Score models extends to robust modeling of outliers in the levels of time series and to the treatment of time-varying relationships. The statistical theory draws on basic principles of maximum likelihood estimation and, by doing so, leads to an elegant and unified treatment of nonlinear time-series modeling.

Herd Behavior and Fat Tails in Financial Markets

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Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Herd Behavior and Fat Tails in Financial Markets by : Makoto Nirei

Download or read book Herd Behavior and Fat Tails in Financial Markets written by Makoto Nirei and published by . This book was released on 2006 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper demonstrates that a generic herd behavior model generates a fat-tailed distribution of traders' aggregate actions. We consider a simultaneous-move game of traders who infer other traders' private information on the value of assets by observing their actions and decide whether to buy the asset or not. The number of buying actions in a Bayesian Nash equilibrium is characterized by a sum of a binomial process by introducing a fictitious tatonnement. Under a broad class of distributions for the private information, we show that the aggregate actions follow a power-law distribution with an exponential truncation. The empirical distribution of the daily returns of Samp;P 500 stocks is fitted by the model prediction, when the aggregate actions are translated into price movements either by an empirical volume-price impact function or by a market-maker who sets the price by incorporating the available information. This model nests the benchmark herd behavior model and the recent models of critical phenomena in the network of traders. The latter showed that the aggregate actions follow a power-law tailed distribution when the connectivity of networked traders is set at a critical level. In this context, we provide an economic reason why at all the rational herding behavior exhibits criticality in a general setting. Suppose that a good private information leads a trader to buy, whereas the other traders do not buy despite their observation of the action. Then their inactions reveal their private information partially. The total impact of the action on the revealed information is thus of order 1/N, where N is the total number of traders, if the private information is equally informative across the traders. When this is the case, the mean impact of the initial action on the other actions is roughly equal to one. The tatonnement triggered by the initial action becomes a martingale, in which the distribution of the total number of buying actions during the tatonnement exhibits a power-law tail. We further show that, when the static game is repeated over time, the triggering action almost surely occurs and the mean impact of the action in the chain reaction evolves toward the critical level. This implies that the rational learning of traders self-organizes their beliefs to the critical state at which a power-law clustering of actions emerges.

ValuFocus Investing

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Publisher : John Wiley & Sons
ISBN 13 : 1118283244
Total Pages : 283 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis ValuFocus Investing by : Rawley Thomas

Download or read book ValuFocus Investing written by Rawley Thomas and published by John Wiley & Sons. This book was released on 2012-11-26 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: A must-read book for investors who prefer to pick stocks based on cash flow facts, not on media hype and fiction How to Pick a Stock is written for the contrarian investor who wants an investing method that is based on cash flow facts, not on media hype and speculative impulse. This book combines an accessible presentation of a contrarian investment model and the ValuFocus tool that offers a highly studious, detailed explanation of understanding a company's true intrinsic value. If you can calculate a company's intrinsic value on the basis of knowing if the market is currently under, fairly, or over pricing its stock, then it is possible to invest wisely in the stock market. Investors who want to buy undervalued stocks, or sell (short) overvalued ones will find this book immensely useful. The ValuFocus investing tool calculates the intrinsic value of every company in their database automatically. Thus, an individual investor can become an "A" student of a modeling process, or can go right ahead in using this tool to pick stocks and manage their own portfolio. Additionally, this book helps to develop an enhanced framework to fundamental equity valuation. Contains the ValuFocus tool for calculating the intrinsic value of every company in the LCRT Nucleus database Offers specific and innovative valuation techniques of practicing professionals for individuals to use in picking stocks long-term Highlights the most state-of-the-art approaches to unconventional stock-picking for investors and corporate finance professionals Offering encouragement to individual investors by outlining a model that delivers satisfying returns, How to Pick a Stock is especially useful for those who are patient and believe in longer-term investing horizons.

The Fundamentals of Heavy Tails

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Publisher : Cambridge University Press
ISBN 13 : 1009062964
Total Pages : 266 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis The Fundamentals of Heavy Tails by : Jayakrishnan Nair

Download or read book The Fundamentals of Heavy Tails written by Jayakrishnan Nair and published by Cambridge University Press. This book was released on 2022-06-09 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heavy tails –extreme events or values more common than expected –emerge everywhere: the economy, natural events, and social and information networks are just a few examples. Yet after decades of progress, they are still treated as mysterious, surprising, and even controversial, primarily because the necessary mathematical models and statistical methods are not widely known. This book, for the first time, provides a rigorous introduction to heavy-tailed distributions accessible to anyone who knows elementary probability. It tackles and tames the zoo of terminology for models and properties, demystifying topics such as the generalized central limit theorem and regular variation. It tracks the natural emergence of heavy-tailed distributions from a wide variety of general processes, building intuition. And it reveals the controversy surrounding heavy tails to be the result of flawed statistics, then equips readers to identify and estimate with confidence. Over 100 exercises complete this engaging package.