Work detail

Ising model in finance. From microscopic rules to macroscopic phenomena.

Author: Bc. Pavel Dvořák
Year: 2012 - summer
Leaders: doc. PhDr. Ladislav Krištoufek Ph.D.
Consultants:
Work type: Bachelors
Language: English
Pages: 56
Awards and prizes: B.A. with distinction from the Dean of the Faculty of Social Sciences for an extraordinarily good bachelors diploma thesis.
Link:
Abstract: The main objective of this thesis is to inspect the abilities of the Ising model
to exhibit selected statistical properties, or stylized facts, that are common to
a wide range of nancial assets. The investigated properties are heteroskedas-
ticity of returns, rapidly decaying linear autocorrelation, volatility clustering,
heavy tails, negative skewness and non-Gaussianity of the return distribution.
In the first part of the thesis, we test the presence of these stylized facts in
S&P 500 daily returns over the last 30 years. The main part of the thesis is
dedicated to the Ising model-based simulations and to discussion of the results.
New features such as Poisson process governed lag or magnetisation dependent
trading activity are incorporated in the model. We conclude that the Ising
model is able to convincingly replicate most of the examined statistical prop-
erties while even more satisfactory results can be obtained with appropriate
tuning.
Downloadable: Bachelor Theses of Dvorak

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