The Statistical Mechanics of
Financial Markets
Voit,
J., University of Bayreuth, Germany
This book describes parallels
between physics and finance - both those established in the 100-year-long interaction
between these disciplines, as well as new research results on capital markets using
statistical physics. 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. 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.
Keywords: Capital Markets,
Random Walks, Financial Data, Turbulence
From the reviews
"This book is excellent at illustrating the similarities of financial markets
with other non-equilibrium physical systems (...) In summary, a very good book that offers
more than just qualitative comparisons of physics and finance."
220 pages
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