Random Dynamics in Financial Markets

Random Dynamics in Financial Markets
Author: Cisem Bektur
Publisher:
Total Pages:
Release: 2012
Genre:
ISBN:

Download Random Dynamics in Financial Markets Book in PDF, Epub and Kindle

We study evolutionary models of financial markets. In particular, we study an evolutionary market model with short-lived assets and an evolutionary model with long-lived assets. In the long-lived asset market, investors are allowed to use general dynamic investment strategies. We find sufficient conditions for the Kelly portfolio rule to dominate the market exponentially fast. Moreover, when investors use simple strategies but have incorrect beliefs, we show that the strategy which is "closer" to the Kelly rule cannot be driven out of the market. This means that this strategy will either dominate or at least survive, i.e., the relative market share does not converge to zero. In the market with short-lived assets, we study the dynamics when the states of the world are not identically distributed. This marks the first attempt to study the dynamics of the market when the probability of success changes according to the relative shares of investors. In this problem, we first study a skew product of the random dynamical system associates with the market dynamics. In particular, we compute the Lyapunov exponents of the skew product. This enables us to produce a "surviving" investment strategy, i.e., the investor who follows this rule will dominate the market or at least survive. All the mathematical tools in the thesis lie within the framework of random dynamical systems.

The Statistical Mechanics of Financial Markets

The Statistical Mechanics of Financial Markets
Author: Johannes Voit
Publisher: Springer Science & Business Media
Total Pages: 227
Release: 2013-06-29
Genre: Science
ISBN: 3662044234

Download The Statistical Mechanics of Financial Markets Book in PDF, Epub and Kindle

A careful examination of the interaction between physics and finance. It takes a look at the 100-year-long history of co-operation between the two fields and goes on to provide new research results on capital markets - taken from the field of statistical physics. The random walk model, well known in physics, is one good example of where the two disciplines meet. In the world of finance it is the basic model upon which the Black-Scholes theory of option pricing and hedging has been built. 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.

The Statistical Mechanics of Financial Markets

The Statistical Mechanics of Financial Markets
Author: Johannes Voit
Publisher: Springer Science & Business Media
Total Pages: 298
Release: 2013-04-17
Genre: Mathematics
ISBN: 3662051257

Download The Statistical Mechanics of Financial Markets Book in PDF, Epub and Kindle

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.

Chaos & Nonlinear Dynamics in the Financial Markets

Chaos & Nonlinear Dynamics in the Financial Markets
Author: Robert R. Trippi
Publisher: Robert Trippi
Total Pages: 546
Release: 1995
Genre: Business & Economics
ISBN:

Download Chaos & Nonlinear Dynamics in the Financial Markets Book in PDF, Epub and Kindle

Computer disk illustrates behavior of several of the chaotic processes discussed in text. Assists the user in viewing the change in a system from unstable to stable states.

Handbook of Financial Markets: Dynamics and Evolution

Handbook of Financial Markets: Dynamics and Evolution
Author: Thorsten Hens
Publisher: Elsevier
Total Pages: 607
Release: 2009-06-12
Genre: Business & Economics
ISBN: 0080921434

Download Handbook of Financial Markets: Dynamics and Evolution Book in PDF, Epub and Kindle

The models of portfolio selection and asset price dynamics in this volume seek to explain the market dynamics of asset prices. Presenting a range of analytical, empirical, and numerical techniques as well as several different modeling approaches, the authors depict the state of debate on the market selection hypothesis. By explicitly assuming the heterogeneity of investors, they present models that are descriptive and normative as well, making the volume useful for both finance theorists and financial practitioners. Explains the market dynamics of asset prices, offering insights about asset management approaches Assumes a heterogeneity of investors that yields descriptive and normative models of portfolio selections and asset pricing dynamics

Random Dynamical Systems in Finance

Random Dynamical Systems in Finance
Author: Anatoliy Swishchuk
Publisher: CRC Press
Total Pages: 354
Release: 2016-04-19
Genre: Business & Economics
ISBN: 1439867194

Download Random Dynamical Systems in Finance Book in PDF, Epub and Kindle

The theory and applications of random dynamical systems (RDS) are at the cutting edge of research in mathematics and economics, particularly in modeling the long-run evolution of economic systems subject to exogenous random shocks. Despite this interest, there are no books available that solely focus on RDS in finance and economics. Exploring this

Dynamics of Markets

Dynamics of Markets
Author: Joseph L. McCauley
Publisher: Cambridge University Press
Total Pages: 246
Release: 2004-05-06
Genre: Business & Economics
ISBN: 9780521824477

Download Dynamics of Markets Book in PDF, Epub and Kindle

Text introducing a new empirically-based model of financial market dynamics.

The Econometrics of Financial Markets

The Econometrics of Financial Markets
Author: John Y. Campbell
Publisher: Princeton University Press
Total Pages: 630
Release: 2012-06-28
Genre: Business & Economics
ISBN: 1400830214

Download The Econometrics of Financial Markets Book in PDF, Epub and Kindle

The past twenty years have seen an extraordinary growth in the use of quantitative methods in financial markets. Finance professionals now routinely use sophisticated statistical techniques in portfolio management, proprietary trading, risk management, financial consulting, and securities regulation. This graduate-level textbook is intended for PhD students, advanced MBA students, and industry professionals interested in the econometrics of financial modeling. The book covers the entire spectrum of empirical finance, including: the predictability of asset returns, tests of the Random Walk Hypothesis, the microstructure of securities markets, event analysis, the Capital Asset Pricing Model and the Arbitrage Pricing Theory, the term structure of interest rates, dynamic models of economic equilibrium, and nonlinear financial models such as ARCH, neural networks, statistical fractals, and chaos theory. Each chapter develops statistical techniques within the context of a particular financial application. This exciting new text contains a unique and accessible combination of theory and practice, bringing state-of-the-art statistical techniques to the forefront of financial applications. Each chapter also includes a discussion of recent empirical evidence, for example, the rejection of the Random Walk Hypothesis, as well as problems designed to help readers incorporate what they have read into their own applications.