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Power law for the calm-time interval of price changes

Listed author(s):
  • Taisei Kaizoji
  • Michiyo Kaizoji

In this paper, we describe a newly discovered statistical property of time series data for daily price changes. We conducted quantitative investigation of the {\it calm-time intervals} of price changes for 800 companies listed in the Tokyo Stock Exchange, and for the Nikkei 225 index over a 27-year period from January 4, 1975 to December 28, 2001. A calm-time interval is defined as the interval between two successive price changes above a fixed threshold. We found that the calm-time interval distribution of price changes obeys a power law decay. Furthermore, we show that the power-law exponent decreases monotonically with respect to the threshold. Keyword: econophysics, stock price changes, calm time interval, power-laws; PACS: 89.90.+n; 05.40.Df;

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Paper provided by in its series Papers with number cond-mat/0312560.

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Date of creation: Dec 2003
Date of revision: Mar 2006
Publication status: Published in Physica A 336 (2004) 563-570
Handle: RePEc:arx:papers:cond-mat/0312560
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  1. Enrico Scalas & Rudolf Gorenflo & Hugh Luckock & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2004. "Anomalous waiting times in high-frequency financial data," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 695-702.
  2. Marco Raberto & Enrico Scalas & Rudolf Gorenflo & Francesco Mainardi, 2000. "The waiting-time distribution of LIFFE bond futures," Papers cond-mat/0012497,
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