The Statistical Mechanics Of Financial Markets

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The Statistical Mechanics of Financial Markets

Author : Johannes Voit
Publisher : Springer Science & Business Media
ISBN 13 : 3662044234
Total Pages : 227 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Statistical Mechanics of Financial Markets by : Johannes Voit

The Statistical Mechanics of Financial Markets

Author : Johannes Voit
Publisher : Springer Science & Business Media
ISBN 13 : 3662051257
Total Pages : 298 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Statistical Mechanics of Financial Markets by : Johannes Voit

Download or read book The Statistical Mechanics of Financial Markets written by Johannes Voit and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook describes parallels between statistical physics and finance - both those established in the 100-year-long interaction between these disciplines, as well as new research results on capital markets. The random walk, well known in physics, is also the basic model in finance, upon which are built, for example, the Black--Scholes theory of option pricing and hedging, or methods of risk control using diversification. Here the underlying assumptions are discussed using empirical financial data and analogies to physical models such as fluid flows, turbulence, or superdiffusion. On this basis, new theories of derivative pricing and risk control can be formulated. Computer simulations of interacting agent models of financial markets provide insights into the origins of asset price fluctuations. Stock exchange crashes can be modelled in ways analogous to phase transitions and earthquakes. These models allow for predictions. This study edition has been updated with a presentation of several new and significant developments, e.g. the dynamics of volatility smiles and implied volatility surfaces, path integral approaches to option pricing, a new and accurate simulation scheme for options, multifractals, the application of nonextensive statistical mechanics to financial markets, and the minority game. Moreover, the book was scanned for and corrected from errors, both typographical and in presentation.

The Statistical Mechanics of Financial Markets

Author : Johannes Voit
Publisher : Springer Science & Business Media
ISBN 13 : 354026289X
Total Pages : 385 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis The Statistical Mechanics of Financial Markets by : Johannes Voit

Download or read book The Statistical Mechanics of Financial Markets written by Johannes Voit and published by Springer Science & Business Media. This book was released on 2005-12-28 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present third edition of The Statistical Mechanics of Financial Markets is published only four years after the ?rst edition. The success of the book highlights the interest in a summary of the broad research activities on the application of statistical physics to ?nancial markets. I am very grateful to readers and reviewers for their positive reception and comments. Why then prepare a new edition instead of only reprinting and correcting the second edition? The new edition has been signi?cantly expanded, giving it a more pr- tical twist towards banking. The most important extensions are due to my practical experience as a risk manager in the German Savings Banks’ As- ciation (DSGV): Two new chapters on risk management and on the closely related topic of economic and regulatory capital for ?nancial institutions, - spectively, have been added. The chapter on risk management contains both the basics as well as advanced topics, e. g. coherent risk measures, which have not yet reached the statistical physics community interested in ?nancial m- kets. Similarly, it is surprising how little research by academic physicists has appeared on topics relating to Basel II. Basel II is the new capital adequacy framework which will set the standards in risk management in many co- tries for the years to come. Basel II is responsible for many job openings in banks for which physicists are extemely well quali?ed. For these reasons, an outline of Basel II takes a major part of the chapter on capital.

Theory of Financial Risk and Derivative Pricing

Author : Jean-Philippe Bouchaud
Publisher : Cambridge University Press
ISBN 13 : 1139440276
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Theory of Financial Risk and Derivative Pricing by : Jean-Philippe Bouchaud

Download or read book Theory of Financial Risk and Derivative Pricing written by Jean-Philippe Bouchaud and published by Cambridge University Press. This book was released on 2003-12-11 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Risk control and derivative pricing have become of major concern to financial institutions, and there is a real need for adequate statistical tools to measure and anticipate the amplitude of the potential moves of the financial markets. Summarising theoretical developments in the field, this 2003 second edition has been substantially expanded. Additional chapters now cover stochastic processes, Monte-Carlo methods, Black-Scholes theory, the theory of the yield curve, and Minority Game. There are discussions on aspects of data analysis, financial products, non-linear correlations, and herding, feedback and agent based models. This book has become a classic reference for graduate students and researchers working in econophysics and mathematical finance, and for quantitative analysts working on risk management, derivative pricing and quantitative trading strategies.

Statistical Models and Methods for Financial Markets

Author : Tze Leung Lai
Publisher : Springer Science & Business Media
ISBN 13 : 0387778276
Total Pages : 363 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Statistical Models and Methods for Financial Markets by : Tze Leung Lai

Download or read book Statistical Models and Methods for Financial Markets written by Tze Leung Lai and published by Springer Science & Business Media. This book was released on 2008-09-08 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of writing this bookarosein 2000when the ?rst author wasassigned to teach the required course STATS 240 (Statistical Methods in Finance) in the new M. S. program in ?nancial mathematics at Stanford, which is an interdisciplinary program that aims to provide a master’s-level education in applied mathematics, statistics, computing, ?nance, and economics. Students in the programhad di?erent backgroundsin statistics. Some had only taken a basic course in statistical inference, while others had taken a broad spectrum of M. S. - and Ph. D. -level statistics courses. On the other hand, all of them had already taken required core courses in investment theory and derivative pricing, and STATS 240 was supposed to link the theory and pricing formulas to real-world data and pricing or investment strategies. Besides students in theprogram,thecoursealso attractedmanystudentsfromother departments in the university, further increasing the heterogeneity of students, as many of them had a strong background in mathematical and statistical modeling from the mathematical, physical, and engineering sciences but no previous experience in ?nance. To address the diversity in background but common strong interest in the subject and in a potential career as a “quant” in the ?nancialindustry,thecoursematerialwascarefullychosennotonlytopresent basic statistical methods of importance to quantitative ?nance but also to summarize domain knowledge in ?nance and show how it can be combined with statistical modeling in ?nancial analysis and decision making. The course material evolved over the years, especially after the second author helped as the head TA during the years 2004 and 2005.

Introduction to Econophysics

Author : Rosario N. Mantegna
Publisher : Cambridge University Press
ISBN 13 : 1139431226
Total Pages : 164 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Introduction to Econophysics by : Rosario N. Mantegna

Download or read book Introduction to Econophysics written by Rosario N. Mantegna and published by Cambridge University Press. This book was released on 1999-11-13 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concerns the use of concepts from statistical physics in the description of financial systems. The authors illustrate the scaling concepts used in probability theory, critical phenomena, and fully developed turbulent fluids. These concepts are then applied to financial time series. The authors also present a stochastic model that displays several of the statistical properties observed in empirical data. Statistical physics concepts such as stochastic dynamics, short- and long-range correlations, self-similarity and scaling permit an understanding of the global behaviour of economic systems without first having to work out a detailed microscopic description of the system. Physicists will find the application of statistical physics concepts to economic systems interesting. Economists and workers in the financial world will find useful the presentation of empirical analysis methods and well-formulated theoretical tools that might help describe systems composed of a huge number of interacting subsystems.

Trades, Quotes and Prices

Author : Jean-Philippe Bouchaud
Publisher : Cambridge University Press
ISBN 13 : 1108639062
Total Pages : 464 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Trades, Quotes and Prices by : Jean-Philippe Bouchaud

Download or read book Trades, Quotes and Prices written by Jean-Philippe Bouchaud and published by Cambridge University Press. This book was released on 2018-03-22 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The widespread availability of high-quality, high-frequency data has revolutionised the study of financial markets. By describing not only asset prices, but also market participants' actions and interactions, this wealth of information offers a new window into the inner workings of the financial ecosystem. In this original text, the authors discuss empirical facts of financial markets and introduce a wide range of models, from the micro-scale mechanics of individual order arrivals to the emergent, macro-scale issues of market stability. Throughout this journey, data is king. All discussions are firmly rooted in the empirical behaviour of real stocks, and all models are calibrated and evaluated using recent data from Nasdaq. By confronting theory with empirical facts, this book for practitioners, researchers and advanced students provides a fresh, new, and often surprising perspective on topics as diverse as optimal trading, price impact, the fragile nature of liquidity, and even the reasons why people trade at all.

Microscopic Simulation of Financial Markets

Author : Moshe Levy
Publisher :
ISBN 13 : 9780124458901
Total Pages : 300 pages
Book Rating : 4.4/5 (589 download)

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Book Synopsis Microscopic Simulation of Financial Markets by : Moshe Levy

Download or read book Microscopic Simulation of Financial Markets written by Moshe Levy and published by . This book was released on 2000 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microscopic Simulation (MS) uses a computer to represent and keep track of individual ("microscopic") elements in order to investigate complex systems which are analytically intractable. A methodology that was developed to solve physics problems, MS has been used to study the relation between microscopic behavior and macroscopic phenomena in systems ranging from those of atomic particles, to cars, animals, and even humans. In finance, MS can help explain, among other things, the effects of various elements of investor behavior on market dynamics and asset pricing. It is these issues in particular, and the value of an MS approach to finance in general, that are the subjects of this book. The authors not only put their work in perspective by surveying traditional economic analyses of investor behavior, but they also briefly examine the use of MS in fields other than finance. Most models in economics and finance assume that investors are rational. However, experimental studies reveal systematic deviations from rational behavior. How can we determine the effect of investors' deviations from rational behavior on asset prices and market dynamics? By using Microscopic Simulation, a methodology originally developed by physicists for the investigation of complex systems, the authors are able to relax classical assumptions about investor behavior and to model it as empirically and experimentally observed. This rounded and judicious introduction to the application of MS in finance and economics reveals that many of the empirically-observed "puzzles" in finance can be explained by investors' quasi-rationality. Researchers use the book because it models heterogeneous investors, a group that has proven difficult to model. Being able to predict how people will invest and setting asset prices accordingly is inherently appealing, and the combination of computing power and statistical mechanics in this book makes such modeling possible. Because many finance researchers have backgrounds in physics, the material here is accessible. Key Features * Emphasizes investor behavior in determining asset prices and market dynamics * Introduces Microscopic Simulation within a simplified framework * Offers ways to model deviations from rational decision-making

The Physics of Finance

Author : James Owen Weatherall
Publisher : Short Books
ISBN 13 : 9781780721392
Total Pages : 0 pages
Book Rating : 4.7/5 (213 download)

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Book Synopsis The Physics of Finance by : James Owen Weatherall

Download or read book The Physics of Finance written by James Owen Weatherall and published by Short Books. This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A book which reveals the people and ideas on the cusp of a new era in finance.

Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets

Author : Hagen Kleinert
Publisher : World Scientific
ISBN 13 : 9814273570
Total Pages : 1626 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets by : Hagen Kleinert

Stochastic Processes

Author : Wolfgang Paul
Publisher : Springer Science & Business Media
ISBN 13 : 3319003275
Total Pages : 288 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Stochastic Processes by : Wolfgang Paul

Download or read book Stochastic Processes written by Wolfgang Paul and published by Springer Science & Business Media. This book was released on 2013-07-11 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the theory of stochastic processes with applications taken from physics and finance. Fundamental concepts like the random walk or Brownian motion but also Levy-stable distributions are discussed. Applications are selected to show the interdisciplinary character of the concepts and methods. In the second edition of the book a discussion of extreme events ranging from their mathematical definition to their importance for financial crashes was included. The exposition of basic notions of probability theory and the Brownian motion problem as well as the relation between conservative diffusion processes and quantum mechanics is expanded. The second edition also enlarges the treatment of financial markets. Beyond a presentation of geometric Brownian motion and the Black-Scholes approach to option pricing as well as the econophysics analysis of the stylized facts of financial markets, an introduction to agent based modeling approaches is given.

Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets

Author : Hagen Kleinert
Publisher : World Scientific
ISBN 13 : 9789812381071
Total Pages : 1512 pages
Book Rating : 4.3/5 (81 download)

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Book Synopsis Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets by : Hagen Kleinert

Download or read book Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets written by Hagen Kleinert and published by World Scientific. This book was released on 2004 with total page 1512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third, significantly expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom. The solutions have become possible by two major advances. The first is a new euclidean path integral formula which increases the restricted range of applicability of Feynman's famous formula to include singular attractive 1/r and 1/r2 potentials. The second is a simple quantum equivalence principle governing the transformation of euclidean path integrals to spaces with curvature and torsion, which leads to time-sliced path integrals that are manifestly invariant under coordinate transformations. In addition to the time-sliced definition, the author gives a perturbative definition of path integrals which makes them invariant under coordinate transformations. A consistent implementation of this property leads to an extension of the theory of generalized functions by defining uniquely integrals over products of distributions. The powerful Feynman -- Kleinert variational approach is explained and developed systematically into a variational perturbation theory which, in contrast to ordinary perturbation theory, produces convergent expansions. The convergence is uniform from weak to strong couplings, opening a way to precise approximate evaluations of analytically unsolvable path integrals. Tunneling processes are treated in detail. The results are used to determine the lifetime of supercurrents, the stability of metastable thermodynamic phases, and the large-order behavior of perturbationexpansions. A new variational treatment extends the range of validity of previous tunneling theories from large to small barriers. A corresponding extension of large-order perturbation theory also applies now to small orders. Special attention is devoted to path integrals with topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The Chem-Simons theory of particles with fractional statistics (anyohs) is introduced and applied to explain the fractional quantum Hall effect. The relevance of path integrals to financial markets is discussed, and improvements of the famous Black -- Scholes formula for option prices are given which account for the fact that large market fluctuations occur much more frequently than in the commonly used Gaussian distributions.

Mathematical and Statistical Methods for Actuarial Sciences and Finance

Author : Marco Corazza
Publisher : Springer Nature
ISBN 13 : 3030789659
Total Pages : 389 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Mathematical and Statistical Methods for Actuarial Sciences and Finance by : Marco Corazza

Download or read book Mathematical and Statistical Methods for Actuarial Sciences and Finance written by Marco Corazza and published by Springer Nature. This book was released on 2021-12-13 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The cooperation and contamination between mathematicians, statisticians and econometricians working in actuarial sciences and finance is improving the research on these topics and producing numerous meaningful scientific results. This volume presents new ideas, in the form of four- to six-page papers, presented at the International Conference eMAF2020 – Mathematical and Statistical Methods for Actuarial Sciences and Finance. Due to the now sadly famous COVID-19 pandemic, the conference was held remotely through the Zoom platform offered by the Department of Economics of the Ca’ Foscari University of Venice on September 18, 22 and 25, 2020. eMAF2020 is the ninth edition of an international biennial series of scientific meetings, started in 2004 at the initiative of the Department of Economics and Statistics of the University of Salerno. The effectiveness of this idea has been proven by wide participation in all editions, which have been held in Salerno (2004, 2006, 2010 and 2014), Venice (2008, 2012 and 2020), Paris (2016) and Madrid (2018). This book covers a wide variety of subjects: artificial intelligence and machine learning in finance and insurance, behavioral finance, credit risk methods and models, dynamic optimization in finance, financial data analytics, forecasting dynamics of actuarial and financial phenomena, foreign exchange markets, insurance models, interest rate models, longevity risk, models and methods for financial time series analysis, multivariate techniques for financial markets analysis, pension systems, portfolio selection and management, real-world finance, risk analysis and management, trading systems, and others. This volume is a valuable resource for academics, PhD students, practitioners, professionals and researchers. Moreover, it is also of interest to other readers with quantitative background knowledge.

The Physics of Wall Street

Author : James Owen Weatherall
Publisher : Houghton Mifflin Harcourt
ISBN 13 : 0547317271
Total Pages : 309 pages
Book Rating : 4.5/5 (473 download)

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Book Synopsis The Physics of Wall Street by : James Owen Weatherall

Download or read book The Physics of Wall Street written by James Owen Weatherall and published by Houghton Mifflin Harcourt. This book was released on 2013 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: A young scholar tells the story of the physicists and mathematicians who created the models that have become the basis of modern finance and argues that these models are the "solution" to--not the source of--our current economic woes.

Elementary Statistical Physics

Author : Charles Kittel
Publisher :
ISBN 13 :
Total Pages : 1034 pages
Book Rating : 4.1/5 (144 download)

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Book Synopsis Elementary Statistical Physics by : Charles Kittel

Download or read book Elementary Statistical Physics written by Charles Kittel and published by . This book was released on 1995 with total page 1034 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Statistical Physics

Author : K.-H. Hoffmann
Publisher : Springer Science & Business Media
ISBN 13 : 3662048043
Total Pages : 312 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Computational Statistical Physics by : K.-H. Hoffmann

Download or read book Computational Statistical Physics written by K.-H. Hoffmann and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years statistical physics has made significant progress as a result of advances in numerical techniques. While good textbooks exist on the general aspects of statistical physics, the numerical methods and the new developments based on large-scale computing are not usually adequately presented. In this book 16 experts describe the application of methods of statistical physics to various areas in physics such as disordered materials, quasicrystals, semiconductors, and also to other areas beyond physics, such as financial markets, game theory, evolution, and traffic planning, in which statistical physics has recently become significant. In this way the universality of the underlying concepts and methods such as fractals, random matrix theory, time series, neural networks, evolutionary algorithms, becomes clear. The topics are covered by introductory, tutorial presentations.

Statistical Physics On The Eve Of The 21st Century: In Honour Of J B Mcguire On The Occasion Of His 65th Birthday

Author : Luc T Wille
Publisher : World Scientific
ISBN 13 : 9814544167
Total Pages : 536 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Statistical Physics On The Eve Of The 21st Century: In Honour Of J B Mcguire On The Occasion Of His 65th Birthday by : Luc T Wille

Download or read book Statistical Physics On The Eve Of The 21st Century: In Honour Of J B Mcguire On The Occasion Of His 65th Birthday written by Luc T Wille and published by World Scientific. This book was released on 1999-02-04 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of original papers and reviews in honour of James McGuire, one of the pioneers of integrable models in statistical physics. The broad range of articles offers a timely perspective on the current status of statistical mechanics, identifying both recent results as well as future challenges. The work contains a number of overviews of standard topics such as exactly solved lattice models and their various applications in statistical physics, from models of strongly correlated electrons to the conformational properties of polymer chains. It is equally wide ranging in its coverage of new directions and developing fields including quantum computers, financial markets, chaotic systems, Feigenbaum scaling, proteins, brain behaviour, immunology, Markov superposition, Bose-Einstein condensation, random matrices, exclusion statistics, vertex operator algebras and D-unsolvability.The level of coverage is appropriate for graduate students. It will be equally of interest to professional physicists who want to learn about progress in statistical physics in recent years. Experts will find this work useful because of its broad sweep of topics and its discussion of remaining unsolved problems.