The Statistical Mechanics of Financial Markets

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Release : 2013-04-17
Genre : Mathematics
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Book Rating : 257/5 ( reviews)

The Statistical Mechanics of Financial Markets - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Statistical Mechanics of Financial Markets write by Johannes Voit. This book was released on 2013-04-17. The Statistical Mechanics of Financial Markets available 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.

Random Dynamics in Financial Markets

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Release : 2012
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Random Dynamics in Financial Markets - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Dynamics in Financial Markets write by Cisem Bektur. This book was released on 2012. Random Dynamics in Financial Markets available 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.

Chaos & Nonlinear Dynamics in the Financial Markets

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Release : 1995
Genre : Business & Economics
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Chaos & Nonlinear Dynamics in the Financial Markets - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Chaos & Nonlinear Dynamics in the Financial Markets write by Robert R. Trippi. This book was released on 1995. Chaos & Nonlinear Dynamics in the Financial Markets available 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

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Release : 2009-06-12
Genre : Business & Economics
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Book Rating : 434/5 ( reviews)

Handbook of Financial Markets: Dynamics and Evolution - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Financial Markets: Dynamics and Evolution write by Thorsten Hens. This book was released on 2009-06-12. Handbook of Financial Markets: Dynamics and Evolution available 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 Dynamics of Financial Markets

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Release : 2006
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Random Dynamics of Financial Markets - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Dynamics of Financial Markets write by Dhruv Kapoor. This book was released on 2006. Random Dynamics of Financial Markets available in PDF, EPUB and Kindle.