Simulation of Heterogeneous Financial Market Model Based on Cellular Automaton
Science Journal of Applied Mathematics and Statistics
Volume 3, Issue 3, June 2015, Pages: 153-159
Received: Apr. 25, 2015; Accepted: May 6, 2015; Published: Jun. 1, 2015
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Authors
Hong Zhang, School of Information, Beijing Wuzi University, Beijing, China
Li Zhou, School of Information, Beijing Wuzi University, Beijing, China
Yifan Yang, School of Banking and Finance, University of International Business and Economics, Beijing, China
Lu Qiu, School of International Business, Nanjing Audit University, Nanjing, China
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Abstract
In recent years, researchers analyzed the historical data from the financial markets. They found that the statistical result is different from the classical financial theories, models, and methods. The difference is challenging the three hypotheses which are rational people hypothesis, efficient market hypothesis and random walk hypothesis. We need new perspective and tools to re-study the financial market as a complex system. A cellular automata based heterogeneous financial market model is proposed in this categories which dissertation. In this model, the market participant id divided in to two is the fundamentalists and chartists. A learn rules is used to make sure all the market participant can convert in these two categories. The method emulates the interact behaviors between the market participants, and emulates the overall market behavior. The author analyzes the randomness sources, mean-reverting property, bubble happen and bust, and stationary of this model. The author analyzes the relationships between cellular automata based heterogeneous financial market model and the Ornstein-Uhlenbeck model and GARCH models. The data simulated by the financial market model is fit the characteristics such as the fat tail of return's distribution, negative skewness, relationship between return and trading volume, the randomness of volatility, and volatility cluster, which the classical theory is failed to explain. How to add more heterogeneity into the model is discussed in this dissertation. In this dissertation, by using the cellular automata as a tool, an option pricing model and a heterogeneous financial market model are proposed. The result of the option pricing model is close to the result calculated by the formula. The simulation of heterogeneous financial market model can explain many phenomenons which can not be explained by the classical theory, such as the fat-tail of return and the bubble happen and bust. The author also preliminary designs the financial market model based on the asynchronous cellular automata. These models and conclusions indicate that cellular automata have a ability to show the randomness of the financial markets and simulate the behaves of the participants in the financial maket.
Keywords
Cellular Automaton, Financial Market, Heterogeneous, Simulation
To cite this article
Hong Zhang, Li Zhou, Yifan Yang, Lu Qiu, Simulation of Heterogeneous Financial Market Model Based on Cellular Automaton, Science Journal of Applied Mathematics and Statistics. Vol. 3, No. 3, 2015, pp. 153-159. doi: 10.11648/j.sjams.20150303.18
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