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Financial power laws: Empirical evidence, models, and mechanism

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  • Lux, Thomas

Abstract

Financial markets (share markets, foreign exchange markets and others) are all characterized by a number of universal power laws. The most prominent example is the ubiquitous finding of a robust, approximately cubic power law characterizing the distribution of large returns. A similarly robust feature is long-range dependence in volatility (i.e., hyperbolic decline of its autocorrelation function). The recent literature adds temporal scaling of trading volume and multi-scaling of higher moments of returns. Increasing awareness of these properties has recently spurred attempts at theoretical explanations of the emergence of these key characteristics form the market process. In principle, different types of dynamic processes could be responsible for these power-laws. Examples to be found in the economics literature include multiplicative stochastic processes as well as dynamic processes with multiple equilibria. Though both types of dynamics are characterized by intermittent behavior which occasionally generates large bursts of activity, they can be based on fundamentally different perceptions of the trading process. The present chapter reviews both the analytical background of the power laws emerging from the above data generating mechanism as well as pertinent models proposed in the economics literature. --

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Paper provided by Christian-Albrechts-University of Kiel, Department of Economics in its series Economics Working Papers with number 2006,12.

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Date of creation: 2006
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Handle: RePEc:zbw:cauewp:5159

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  1. Hirshleifer, David & Luo, Guo Ying, 2000. "On the Survival of Overconfident Traders in a Competitive Securities Market," MPRA Paper 15347, University Library of Munich, Germany.
  2. repec:att:wimass:9530 is not listed on IDEAS
  3. P. Bak & M. Paczuski & Martin Shubik, 1996. "Price Variations in a Stock Market with Many Agents," Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University 1132, Cowles Foundation for Research in Economics, Yale University.
  4. Sato, Aki-Hiro & Takayasu, Hideki, 1998. "Dynamic numerical models of stock market price: from microscopic determinism to macroscopic randomness," Physica A: Statistical Mechanics and its Applications, Elsevier, Elsevier, vol. 250(1), pages 231-252.
  5. V. Plerou & P. Gopikrishnan & X. Gabaix & L. A. N. Amaral & H. E. Stanley, 2001. "Price fluctuations, market activity and trading volume," Quantitative Finance, Taylor & Francis Journals, Taylor & Francis Journals, vol. 1(2), pages 262-269.
  6. Iori, Giulia, 2002. "A microsimulation of traders activity in the stock market: the role of heterogeneity, agents' interactions and trade frictions," Journal of Economic Behavior & Organization, Elsevier, Elsevier, vol. 49(2), pages 269-285, October.
  7. Aoki, Masanao & Yoshikawa, Hiroshi, 2002. "Demand saturation-creation and economic growth," Journal of Economic Behavior & Organization, Elsevier, Elsevier, vol. 48(2), pages 127-154, June.
  8. I.N. Lobato & N.E. Savin, 1996. "Real and Spurious Long Memory Properties of Stock Market Data," Econometrics, EconWPA 9605004, EconWPA, revised 26 Sep 1996.
  9. Egenter, E. & Lux, T. & Stauffer, D., 1999. "Finite-size effects in Monte Carlo simulations of two stock market models," Physica A: Statistical Mechanics and its Applications, Elsevier, Elsevier, vol. 268(1), pages 250-256.
  10. Alfarano, Simone & Lux, Thomas & Wagner, Friedrich, 2008. "Time variation of higher moments in a financial market with heterogeneous agents: An analytical approach," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 32(1), pages 101-136, January.
  11. Shu-Heng Chen & Thomas Lux & Michele Marchesi, 1999. "Testing for Non-Linear Structure in an Artificial Financial Market," Discussion Paper Serie B, University of Bonn, Germany 447, University of Bonn, Germany.
  12. Wagner, Friedrich, 2003. "Volatility cluster and herding," Physica A: Statistical Mechanics and its Applications, Elsevier, Elsevier, vol. 322(C), pages 607-619.
  13. Chiarella, Carl & He, Xue-Zhong, 2003. "Dynamics of beliefs and learning under aL-processes -- the heterogeneous case," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 27(3), pages 503-531, January.
  14. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, Econometric Society, vol. 65(5), pages 1059-1096, September.
  15. Lux, Thomas, 1997. "Time variation of second moments from a noise trader/infection model," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 22(1), pages 1-38, November.
  16. Baillie, Richard T. & Bollerslev, Tim & Mikkelsen, Hans Ole, 1996. "Fractionally integrated generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, Elsevier, vol. 74(1), pages 3-30, September.
  17. Rama Cont & Marc Potters & Jean-Philippe Bouchaud, 1997. "Scaling in stock market data: stable laws and beyond," Science & Finance (CFM) working paper archive 9705087, Science & Finance, Capital Fund Management.
  18. Youssefmir, Michael & Huberman, Bernardo A., 1997. "Clustered volatility in multiagent dynamics," Journal of Economic Behavior & Organization, Elsevier, Elsevier, vol. 32(1), pages 101-118, January.
  19. Alfarano, Simone & Lux, Thomas, 2003. "A minimal noise trader model with realistic time series properties," Economics Working Papers 2003,15, Christian-Albrechts-University of Kiel, Department of Economics.
  20. Arifovic, Jasmina, 1996. "The Behavior of the Exchange Rate in the Genetic Algorithm and Experimental Economies," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 104(3), pages 510-41, June.
  21. Laurent Calvet & Adlai Fisher, 2002. "Multifractality In Asset Returns: Theory And Evidence," The Review of Economics and Statistics, MIT Press, vol. 84(3), pages 381-406, August.
  22. Eugene F. Fama, 1963. "Mandelbrot and the Stable Paretian Hypothesis," The Journal of Business, University of Chicago Press, University of Chicago Press, vol. 36, pages 420.
  23. Gaunersdorfer, A. & Hommes, C.H., 2005. "A nonlinear structural model for volatility clustering," CeNDEF Working Papers 05-02, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  24. Chiarella, Carl & He, Xue-Zhong, 2002. "Heterogeneous Beliefs, Risk and Learning in a Simple Asset Pricing Model," Computational Economics, Society for Computational Economics, Society for Computational Economics, vol. 19(1), pages 95-132, February.
  25. P. Gopikrishnan & M. Meyer & L.A.N. Amaral & H.E. Stanley, 1998. "Inverse cubic law for the distribution of stock price variations," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, Springer, vol. 3(2), pages 139-140, July.
  26. Ding, Zhuanxin & Granger, Clive W. J. & Engle, Robert F., 1993. "A long memory property of stock market returns and a new model," Journal of Empirical Finance, Elsevier, Elsevier, vol. 1(1), pages 83-106, June.
  27. Cont, Rama & Bouchaud, Jean-Philipe, 2000. "Herd Behavior And Aggregate Fluctuations In Financial Markets," Macroeconomic Dynamics, Cambridge University Press, Cambridge University Press, vol. 4(02), pages 170-196, June.
  28. Vandewalle, N. & Ausloos, M., 1997. "Coherent and random sequences in financial fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, Elsevier, vol. 246(3), pages 454-459.
  29. Lau, Amy Hing-Ling & Lau, Hon-Shiang & Wingender, John R, 1990. "The Distribution of Stock Returns: New Evidence against the Stable Model," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 8(2), pages 217-23, April.
  30. Lux, Thomas, 1998. "The socio-economic dynamics of speculative markets: interacting agents, chaos, and the fat tails of return distributions," Journal of Economic Behavior & Organization, Elsevier, Elsevier, vol. 33(2), pages 143-165, January.
  31. Cheung, Yin-Wong & Wong, Clement Yuk-Pang, 2000. "A survey of market practitioners' views on exchange rate dynamics," Journal of International Economics, Elsevier, Elsevier, vol. 51(2), pages 401-419, August.
  32. Charles Noussair & Stephane Robin & Bernard Ruffieux, 2001. "Price Bubbles in Laboratory Asset Markets with Constant Fundamental Values," Experimental Economics, Springer, Springer, vol. 4(1), pages 87-105, June.
  33. Levy, Moshe & Levy, Haim & Solomon, Sorin, 1994. "A microscopic model of the stock market : Cycles, booms, and crashes," Economics Letters, Elsevier, Elsevier, vol. 45(1), pages 103-111, May.
  34. J. Doyne Farmer & Fabrizio Lillo, 2003. "On the origin of power law tails in price fluctuations," Papers cond-mat/0309416, arXiv.org, revised Jan 2004.
  35. Hall, Joyce A. & Brorsen, B. Wade & Irwin, Scott H., 1989. "The Distribution of Futures Prices: A Test of the Stable Paretian and Mixture of Normals Hypotheses," Journal of Financial and Quantitative Analysis, Cambridge University Press, Cambridge University Press, vol. 24(01), pages 105-116, March.
  36. Dennis Jansen & Casper de Vries, 1988. "On the frequency of large stock returns: putting booms and busts into perspective," Working Papers, Federal Reserve Bank of St. Louis 1989-006, Federal Reserve Bank of St. Louis.
  37. Focardi, Sergio & Cincotti, Silvano & Marchesi, Michele, 2002. "Self-organization and market crashes," Journal of Economic Behavior & Organization, Elsevier, Elsevier, vol. 49(2), pages 241-267, October.
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Cited by:
  1. Reitz, Stefan & Rülke, Jan-Christoph & Stadtmann, Georg, 2012. "Nonlinear expectations in speculative markets: Evidence from the ECB survey of professional forecasters," Discussion Papers 311, European University Viadrina Frankfurt (Oder), Department of Business Administration and Economics.
  2. Fabio Tramontana & Laura Gardini & Frank Westerhoff, 2011. "Heterogeneous Speculators and Asset Price Dynamics: Further Results from a One-Dimensional Discontinuous Piecewise-Linear Map," Computational Economics, Society for Computational Economics, Society for Computational Economics, vol. 38(3), pages 329-347, October.
  3. Paolo Pelizzari & Frank Westerhoff, 2007. "Some Effects of Transaction Taxes Under Different Microstructures," Research Paper Series, Quantitative Finance Research Centre, University of Technology, Sydney 212, Quantitative Finance Research Centre, University of Technology, Sydney.

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