Fat Tailed And Skewed Asset Return Distributions
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| Author | : Svetlozar T. Rachev |
| Publisher | : John Wiley & Sons |
| Total Pages | : 385 |
| Release | : 2005-09-15 |
| Genre | : Business & Economics |
| ISBN | : 0471758906 |
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.
| Author | : Nassim Nicholas Taleb |
| Publisher | : |
| Total Pages | : |
| Release | : 2020-06-30 |
| Genre | : |
| ISBN | : 9781544508054 |
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.
| Author | : Andreas Fagereng |
| Publisher | : International Monetary Fund |
| Total Pages | : 69 |
| Release | : 2018-07-27 |
| Genre | : Business & Economics |
| ISBN | : 1484370066 |
We provide a systematic analysis of the properties of individual returns to wealth using twelve years of population data from Norway’s administrative tax records. We document a number of novel results. First, during our sample period individuals earn markedly different average returns on their financial assets (a standard deviation of 14%) and on their net worth (a standard deviation of 8%). Second, heterogeneity in returns does not arise merely from differences in the allocation of wealth between safe and risky assets: returns are heterogeneous even within asset classes. Third, returns are positively correlated with wealth: moving from the 10th to the 90th percentile of the financial wealth distribution increases the return by 3 percentage points - and by 17 percentage points when the same exercise is performed for the return to net worth. Fourth, wealth returns exhibit substantial persistence over time. We argue that while this persistence partly reflects stable differences in risk exposure and assets scale, it also reflects persistent heterogeneity in sophistication and financial information, as well as entrepreneurial talent. Finally, wealth returns are (mildly) correlated across generations. We discuss the implications of these findings for several strands of the wealth inequality debate.
| Author | : Michele Leonardo Bianchi |
| Publisher | : World Scientific |
| Total Pages | : 598 |
| Release | : 2019-03-08 |
| Genre | : Business & Economics |
| ISBN | : 9813276215 |
The study of heavy-tailed distributions allows researchers to represent phenomena that occasionally exhibit very large deviations from the mean. The dynamics underlying these phenomena is an interesting theoretical subject, but the study of their statistical properties is in itself a very useful endeavor from the point of view of managing assets and controlling risk. In this book, the authors are primarily concerned with the statistical properties of heavy-tailed distributions and with the processes that exhibit jumps. A detailed overview with a Matlab implementation of heavy-tailed models applied in asset management and risk managements is presented. The book is not intended as a theoretical treatise on probability or statistics, but as a tool to understand the main concepts regarding heavy-tailed random variables and processes as applied to real-world applications in finance. Accordingly, the authors review approaches and methodologies whose realization will be useful for developing new methods for forecasting of financial variables where extreme events are not treated as anomalies, but as intrinsic parts of the economic process.
| Author | : Robert A. Meyers |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 919 |
| Release | : 2010-11-03 |
| Genre | : Business & Economics |
| ISBN | : 1441977007 |
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.
| Author | : Jayakrishnan Nair |
| Publisher | : Cambridge University Press |
| Total Pages | : 266 |
| Release | : 2022-06-09 |
| Genre | : Mathematics |
| ISBN | : 1009062964 |
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.
| Author | : Grzegorz Koronkiewicz |
| Publisher | : |
| Total Pages | : 11 |
| Release | : 2016 |
| Genre | : |
| ISBN | : |
The aim of this study is to analyze the tails of the distributions of stock market returns and to compare the differences between them. It is a well-established fact that the vast majority of stock market return distributions exhibit fat tails (a bigger probability of extreme outcomes then in the case of the normal probability). Apart from that, there seems to be a popular opinion that most market returns are negatively skewed with a fatter left tail. The study utilizes two methods for comparing the tails of a distribution. A simple approached based on the sample kurtosis, with a modification that allows for the calculation of kurtosis separately for the right and the left tail of a single distribution and a more complex approach based on the maximum likelihood fitting of the Generalized Pareto Distribution to both tales of standardized return distributions. The second approach is based on the assumptions of the Extreme Value Theory (EVT) and the Pickands-Balkema-de Haan theorem. Both approaches provide similar conclusions. Results suggest that whether the left or the right tail of the return distribution is bigger varies from market to market. All four major equity indices of the Polish Warsaw Stock Exchange exhibited a fatter left tale. However, in the whole sample it was actually more common for the right tail to be heavier, with 12 indices out of 20 exhibiting a fatter right tail then the left. The sample kurtosis indicated that all stock market return's distributions were heavy tailed, whereas the estimates of Generalized Pareto Distribution parameters did indicate standard or thin tails in two cases. Statistical tests indicate that the differences between the tails of stock market distributions are not statistically significant.
| Author | : Svetlozar T. Rachev |
| Publisher | : |
| Total Pages | : 886 |
| Release | : 2000-06-15 |
| Genre | : Business & Economics |
| ISBN | : |
This text is a comprehensive treatment of the Asset Pricing Theory, based on the assumption that returns are distributed non-normally. More general models are also considered and the corresponding formulae are derived, and it describes estimation techniques and presents empirical applications.
| Author | : Robert Carver |
| Publisher | : Harriman House Limited |
| Total Pages | : 247 |
| Release | : 2015-09-14 |
| Genre | : Business & Economics |
| ISBN | : 085719500X |
This is not just another book with yet another trading system. This is a complete guide to developing your own systems to help you make and execute trading and investing decisions. It is intended for everyone who wishes to systematise their financial decision making, either completely or to some degree. Author Robert Carver draws on financial theory, his experience managing systematic hedge fund strategies and his own in-depth research to explain why systematic trading makes sense and demonstrates how it can be done safely and profitably. Every aspect, from creating trading rules to position sizing, is thoroughly explained. The framework described here can be used with all assets, including equities, bonds, forex and commodities. There is no magic formula that will guarantee success, but cutting out simple mistakes will improve your performance. You'll learn how to avoid common pitfalls such as over-complicating your strategy, being too optimistic about likely returns, taking excessive risks and trading too frequently. Important features include: - The theory behind systematic trading: why and when it works, and when it doesn't. - Simple and effective ways to design effective strategies. - A complete position management framework which can be adapted for your needs. - How fully systematic traders can create or adapt trading rules to forecast prices. - Making discretionary trading decisions within a systematic framework for position management. - Why traditional long only investors should use systems to ensure proper diversification, and avoid costly and unnecessary portfolio churn. - Adapting strategies depending on the cost of trading and how much capital is being used. - Practical examples from UK, US and international markets showing how the framework can be used. Systematic Trading is detailed, comprehensive and full of practical advice. It provides a unique new approach to system development and a must for anyone considering using systems to make some, or all, of their investment decisions.
| Author | : CFA Institute |
| Publisher | : John Wiley & Sons |
| Total Pages | : |
| Release | : 2019-08-08 |
| Genre | : Business & Economics |
| ISBN | : 1119593670 |
Apply CFA Program concepts and skills to real-world wealth and portfolio management for the 2019 exam The same official curricula that CFA Program candidates receive with program registration is now publicly available for purchase. CFA Program Curriculum 2020 Level III, Volumes 1-6 provides complete, authoritative guidance on synthesizing the entire CFA Program Candidate Body of Knowledge (CBOK) into professional practice for the 2020 exam. This book helps you bring together the skills and concepts from Levels I and II to formulate a detailed, professional response to a variety of real-world scenarios. Coverage spans all CFA Program topics and provides a rigorous treatment of portfolio management, all organized into individual study sessions with clearly defined Learning Outcome Statements. Visual aids clarify complex concepts, and practice questions allow you to test your understanding while reinforcing major content areas. Levels I and II equipped you with foundational investment tools and complex analysis skill; now, you'll learn how to effectively synthesize that knowledge to facilitate effective portfolio management and wealth planning. This study set helps you convert your understanding into a professional body of knowledge that will benefit your clients' financial futures. Master essential portfolio management and compliance topics Synthesize your understanding into professional guidance Reinforce your grasp of complex analysis and valuation Apply ethical and professional standards in the context of real-world cases CFA Institute promotes the highest standards of ethics, education, and professional excellence among investment professionals. The CFA Program curriculum guides you through the breadth of knowledge required to uphold these standards. The three levels of the program build on each other. Level I provides foundational knowledge and teaches the use of investment tools; Level II focuses on application of concepts and analysis, particularly in the valuation of assets; and Level III builds toward synthesis across topics with an emphasis on portfolio management.
