Acta Oeconomica Pragensia 2007, 15(4):49-55 | DOI: 10.18267/j.aop.74

Fractal Properties of the Financial Market

Lukáš Vácha
Mgr. Lukáš Vácha - research fellow; Institute of Economic Studies, Faculty of Social Sciences, Charles University in Prague, Smetanovo nábřeží 6, 111 01 Prague 1, Czech Republic, vachal@utia.cas.cz

The paper is concerned with an implementation of behavioral aspects of a heterogeneous agents model (HAM) with the worst out algorithm (WOA). The WOA replaces periodically the trading strategies that have the lowest performance level of all strategies presented on the market by the new ones. The model includes a possibility to change the mood of the investors on the market. This modification allows for changing phases of optimism and pessimism. This feature enables generation of more realistic financial time series. It is shown how a mood change on the financial market influence a persistence of financial time series.

Keywords: agents' trading strategies, heterogeneous agents model with stochastic memory, worst out algorithm, mood change
JEL classification: C61, D81, G12, G14

Published: August 1, 2007  Show citation

ACS AIP APA ASA Harvard Chicago IEEE ISO690 MLA NLM Turabian Vancouver
Vácha, L. (2007). Fractal Properties of the Financial Market. Acta Oeconomica Pragensia15(4), 49-55. doi: 10.18267/j.aop.74
Download citation

References

  1. BERAN, J. (1994). Statistics for Long - Memory Processes. New York : Chapman and Hall, 1994.
  2. BROCK, W. A.; HOMMES, C. H. (1997). A Rational Route to Randomness. Econometrica, 1997, vol. 65, no. 5, pp. 1059-1095. Go to original source...
  3. BROCK, W. A.; HOMMES, C. H. (1998). Heterogeneous Beliefs and Routes to Chaos in a Simple Asset Pricing Model. Journal of Economic Dynamics and Control, 1998, vol. 22, no. 8-9, pp. 1235-1274. Go to original source...
  4. BROCK, W. A.; DECHERT, W. D. (2001). Growth Theory, Nonlinear Dynamics and Economic Modeling. Cheltenham : Edward Elgar, 2001. Go to original source...
  5. CHIARELLA, C. (1992). The Dynamics of Speculative Behaviour. Annals of Operational Research, 1992, vol. 37, no. 1-4, pp. 101-123. Go to original source...
  6. CHIARELLA, C.; He, X. (2000). Heterogeneous Beliefs, Risk and Learning in a Simple Asset Pricing Model with a Market Maker. Research Paper no. 35, Sydney : Quantitative Finance Research Group University of Technology Sydney, 2000.
  7. HOMMES, C. H. (2006). Heterogeneous Agent Models in Economics and Finance. In Tesfatsion, L.; Judd, K. L. (eds.). Handbook of Computational Economics. Volume 2: Agent-Based Computational Economics. Amsterdam : North Holland, pp. 1109-1186. Go to original source...
  8. LOS, C. A. (2003). Financial Market Risk: Measurement and Analysis. London : Routledge, 2003. Go to original source...
  9. LUX, T. (1997). Economics Dynamics. Phase Diagrams and their Economic Application. Cambridge : Cambridge University Press, 1977. Go to original source...
  10. VÁCHA. L.; VOŠVRDA, M. (2007). Wavelet Decomposition of the Financial Market. Prague Economic Papers, 2007, vol. 16, no. 1, pp. 38-54. Go to original source...
  11. VÁCHA. L.; VOŠVRDA, M. (2005). Dynamical Agents' Strategies and the Fractal Market Hypothesis. Prague Economic Papers, 2005, vol. 14, no. 2, pp. 172-179. Go to original source...
  12. VOŠVRDA, M.; VÁCHA, L. (2002a). Heterogeneous Agent Model with Memory and Asset Price Behaviour. In Ramik, J. (ed.). Proceedings of the 20th International Conference Mathematical Methods in Economics 2002. Ostrava : VŠB-TU Ostrava, 2002, pp. 273-282.
  13. VOŠVRDA, M.; VÁCHA, L. (2002b). Heterogeneous Agent Model and Numerical Analysis of Learning. Bulletin of the Czech Econometric Society, 2002, vol. 9, no.17, pp. 15-22.
  14. VOŠVRDA, M.; VÁCHA, L. (2003). Heterogeneous Agent Model with Memory and Asset Price Behaviour, Prague Economic Papers, 2003, vol. 12, no. 2, pp.155-168. Go to original source...

This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.