A Dynamic Analysis of Moving Average Rules

Carl Chiarella, Xuezhong (Tony) He () and Cars Hommes

No 133, Research Paper Series from Quantitative Finance Research Centre, University of Technology, Sydney

Abstract: The use of various moving average rules remains popular with financial market practitioners. These rules have recently become the focus of empirical studies. However there have been very few studies on the analysis of financial market dynamics resulting from the fact that some agents engage in such strategies. In this paper we seek to fill this gap in the literature by proposing a dynamic financial market model in which demand for traded assets has both a fundamentalist and a chartist component. The chartist demand is governed by the difference between a long run and a short run moving average. Both types of traders are boundedly rational in the sense that, based on a certain fitness measure, traders switch from a strategy with low fitness to the one with high fitness. We characterise first the stability and bifurcation properties of the underlying deterministic model via the reaction coefficient of the fundamentalists, the extrapolation rate of the chartists and the lag lengths used for moving averages. By increasing the switching intensity, we then examine various rational routes to randomness for different, but fixed, long run moving averages. The price dynamics of the moving average rule is also examined and it is found that an increase of the window length of the long moving average can destabilize an otherwise stable system, leading to more complicated, even chaotic behaviour. The analysis of the corresponding stochastic model is able to explain various market price phenomena, including market crashes, price switching between different levels and price resistance.

Keywords: moving averages; fundamentalis; trend followers; stability; bifurcation; volatility clustering (search for similar items in EconPapers)
Pages: 28 pages
Date: 2004-10-01
New Economics Papers: this item is included in nep-ets and nep-fin
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

Published as: Chiarella, C., He, X. and Hommes, C., 2006, "A Dynamic Analysis of Moving Average Rules", Journal of Economic Dynamics and Control, 30(9-10), 1729-1753.

Downloads: (external link)
http://www.qfrc.uts.edu.au/research/research_papers/rp133.pdf (application/pdf)
Our link check indicates that this URL is bad, the error code is: 404 Not Found (http://www.qfrc.uts.edu.au/research/research_papers/rp133.pdf [301 Moved Permanently]--> http://www.uts.edu.au/node/51831 [301 Moved Permanently]--> https://www.uts.edu.au/node/51831)

Related works:
Journal Article: A dynamic analysis of moving average rules (2006)
Working Paper: A Dynamic Analysis of Moving Average Rules (2005)
Working Paper: A Dynamic Analysis of Moving Average Rules (2004)
Working Paper: A Dynamical Analysis of Moving Average Rules (2004)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:uts:rpaper:133

Access Statistics for this paper

More papers in Research Paper Series from Quantitative Finance Research Centre, University of Technology, Sydney PO Box 123, Broadway, NSW 2007, Australia. Contact information at EDIRC.
Bibliographic data for series maintained by Duncan Ford ().