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Abstract

We quantitatively investigate the ideas behind the often-expressed adage `it takes volume to move stock prices', and study the statistical properties of the number of shares traded $Q_{\Delta t}$ for a given stock in a fixed time interval $\Delta t$. We analyze transaction data for the largest 1000 stocks for the two-year period 1994-95, using a database that records every transaction for all securities in three major US stock markets. We find that the distribution $P(Q_{\Delta t})$ displays a power-law decay, and that the time correlations in $Q_{\Delta t}$ display long-range persistence. Further, we investigate the relation between $Q_{\Delta t}$ and the number of transactions $N_{\Delta t}$ in a time interval $\Delta t$, and find that the long-range correlations in $Q_{\Delta t}$ are largely due to those of $N_{\Delta t}$. Our results are consistent with the interpretation that the large equal-time correlation previously found between $Q_{\Delta t}$ and the absolute value of price change $| G_{\Delta t} |$ (related to volatility) are largely due to $N_{\Delta t}$.

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File URL: http://arxiv.org/pdf/cond-mat/0008113
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Paper provided by arXiv.org in its series Papers with number cond-mat/0008113.

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Date of creation: Aug 2000
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Publication status: Published in Phys. Rev. E. (Rapid Comm.), 62 (2000) R4493.
Handle: RePEc:arx:papers:cond-mat/0008113

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Cited by:

1. 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.
2. Hai-Chin Yu & Ming-Chang Huang, 2004. "Statistical properties of volatility in fractal dimensions and probability distribution among six stock markets," Applied Financial Economics, Taylor and Francis Journals, vol. 14(15), pages 1087-1095.
3. Wei-Xing Zhou, 2007. "Universal price impact functions of individual trades in an order-driven market," Papers 0708.3198, arXiv.org, revised Apr 2008.
4. Balakrishnan, P.V. (Sundar) & Miller, James M. & Shankar, S. Gowri, 2008. "Power law and evolutionary trends in stock markets," Economics Letters, Elsevier, vol. 98(2), pages 194-200, February.
5. Hai-Chin YU & Ming-Chang Huang, 2003. "Statistical properties of volatility in fractal dimension and probability distribution among six stock markets - USA, Japan, Taiwan, South Korea, Singapore, and Hong Kong," Econometrics 0308002, EconWPA, revised 18 Aug 2003.
6. Guido Fioretti, 2005. "A Model of Primary and Secondary Waves in Investment Cycles," Computational Economics, Society for Computational Economics, vol. 24(4), pages 357-381, June.
   
   • Guido Fioretti, 2002. "A Model of Primary and Secondary Waves in Investment Cycles," Microeconomics 0207014, EconWPA.
7. Szabolcs Mike & J. Doyne Farmer, 2007. "An empirical behavioral model of liquidity and volatility," Papers 0709.0159, arXiv.org.
   
   • Mike, Szabolcs & Farmer, J. Doyne, 2008. "An empirical behavioral model of liquidity and volatility," Journal of Economic Dynamics and Control, Elsevier, vol. 32(1), pages 200-234, January.
8. Rama Cont & Adrien De Larrard, 2011. "Order book dynamics in liquid markets: limit theorems and diffusion approximations," Working Papers hal-00672274, HAL.
9. Rama Cont & Adrien De Larrard, 2012. "Order book dynamics in liquid markets: limit theorems and diffusion approximations," Papers 1202.6412, arXiv.org.
10. Jean-Philippe Bouchaud & Marc Mezard & Marc Potters, 2002. "Statistical properties of stock order books: empirical results and models," Science & Finance (CFM) working paper archive 0203511, Science & Finance, Capital Fund Management.
11. Alvarez-Ramirez, Jose & Escarela-Perez, Rafael, 2010. "Time-dependent correlations in electricity markets," Energy Economics, Elsevier, vol. 32(2), pages 269-277, March.
12. Axioglou, Christos & Skouras, Spyros, 2011. "Markets change every day: Evidence from the memory of trade direction," Journal of Empirical Finance, Elsevier, vol. 18(3), pages 423-446, June.
13. Sam Howison & David Lamper, 2001. "Trading volume in models of financial derivatives," Applied Mathematical Finance, Taylor and Francis Journals, vol. 8(2), pages 119-135.
14. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, 05.
    
    • Xavier Gabaix, 2008. "Power Laws in Economics and Finance," NBER Working Papers 14299, National Bureau of Economic Research, Inc.
15. Xiao-Qian Sun & Xue-Qi Cheng & Hua-Wei Shen & Zhao-Yang Wang, 2011. "Distinguishing manipulated stocks via trading network analysis," Papers 1110.2260, arXiv.org.
16. Makoto Nirei, 2008. "Self-organized criticality in a herd behavior model of financial markets," Journal of Economic Interaction and Coordination, Springer, vol. 3(1), pages 89-97, June.
17. Sitabhra Sinha & Raj Kumar Pan, 2006. "The Power (Law) of Indian Markets: Analysing NSE and BSE trading statistics," Papers physics/0605247, arXiv.org.
18. Taleb, Nassim Nicholas, 2009. "Errors, robustness, and the fourth quadrant," International Journal of Forecasting, Elsevier, vol. 25(4), pages 744-759, October.
19. Gabaix, Xavier & Gopikrishnan, Parameswaran & Plerou, Vasiliki & Eugene Stanley, H., 2008. "Quantifying and understanding the economics of large financial movements," Journal of Economic Dynamics and Control, Elsevier, vol. 32(1), pages 303-319, January.

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