Power law for the calm-time interval of price changes
In this paper, we describe a newly discovered statistical property of time series data for daily price changes. We investigated quantitatively the calm-time intervals of price changes for 800 companies listed in the Tokyo Stock Exchange, and for the Nikkei 225 index in the 27-year period from January 1975 to December 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 monotonically decreases with respect to the threshold.
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Volume (Year): 336 (2004)
Issue (Month): 3 ()
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- Enrico Scalas & Rudolf Gorenflo & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2003.
"Anomalous waiting times in high-frequency financial data,"
- 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.
- Enrico Scalas & Rudolf Gorenflo & Hugh Luckock & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2005. "Anomalous waiting times in high-frequency financial data," Papers physics/0505210, arXiv.org.
- Marco Raberto & Enrico Scalas & Rudolf Gorenflo & Francesco Mainardi, 2000. "The waiting-time distribution of LIFFE bond futures," Papers cond-mat/0012497, arXiv.org.
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