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Analysis of high-resolution foreign exchange data of USD-JPY for 13 years

Author

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  • Mizuno, Takayuki
  • Kurihara, Shoko
  • Takayasu, Misako
  • Takayasu, Hideki

Abstract

We analyze high-resolution foreign exchange data consisting of 20 million data points of USD-JPY for 13 years to report firm statistical laws in distributions and correlations of exchange rate fluctuations. A conditional probability density analysis clearly shows the existence of trend-following movements at time scale of 8-ticks, about 1min.

Suggested Citation

  • Mizuno, Takayuki & Kurihara, Shoko & Takayasu, Misako & Takayasu, Hideki, 2003. "Analysis of high-resolution foreign exchange data of USD-JPY for 13 years," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 296-302.
    • Handle: RePEc:eee:phsmap:v:324:y:2003:i:1:p:296-302
    DOI: 10.1016/S0378-4371(02)01881-2
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    References listed on IDEAS

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    1. Mizuno, T. & Takayasu, M. & Takayasu, H., 2002. "The mechanism of double-exponential growth in hyper-inflation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 411-419.
    2. Ohira, Toru & Sazuka, Naoya & Marumo, Kouhei & Shimizu, Tokiko & Takayasu, Misako & Takayasu, Hideki, 2002. "Predictability of currency market exchange," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 368-374.
    3. Takayasu, H. & Takayasu, M., 1999. "Critical fluctuations of demand and supply," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 24-29.
    4. Tsonis, A.A. & Heller, F. & Takayasu, H. & Marumo, K. & Shimizu, T., 2001. "A characteristic time scale in dollar–yen exchange rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 291(1), pages 574-582.
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    Citations

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    Cited by:

    1. Oya, Shunsuke & Aihara, Kazuyuki & Hirata, Yoshito, 2014. "An absolute measure for a key currency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 15-23.
    2. Pisarenko, V. & Sornette, D., 2006. "New statistic for financial return distributions: Power-law or exponential?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 387-400.
    3. Sato, Aki-Hiro, 2007. "Frequency analysis of tick quotes on the foreign exchange market and agent-based modeling: A spectral distance approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 258-270.
    4. Ted Theodosopoulos & Alex Trifunovic, 2006. "Hybrid dynamics for currency modeling," Papers math/0605457, arXiv.org.
    5. Takayuki Mizuno & Takaaki Ohnishi & Tsutomu Watanabe, 2016. "Power laws in market capitalization during the dot-com and Shanghai bubble periods," Evolutionary and Institutional Economics Review, Springer, vol. 13(2), pages 445-454, December.
    6. V. F. Pisarenko & D. Sornette, 2004. "New statistic for financial return distributions: power-law or exponential?," Papers physics/0403075, arXiv.org.
    7. Takayuki Mizuno & Takaaki Ohnishi & Tsutomu Watanabe, 2016. "Power laws in market capitalization during the Dot-com and Shanghai bubble periods," UTokyo Price Project Working Paper Series 070, University of Tokyo, Graduate School of Economics.
    8. Yuko Hashimoto & Takatoshi Ito & Takaaki Ohnishi & Misako Takayasu & Hideki Takayasu & Tsutomu Watanabe, 2012. "Random walk or a run. Market microstructure analysis of foreign exchange rate movements based on conditional probability," Quantitative Finance, Taylor & Francis Journals, vol. 12(6), pages 893-905, March.
    9. Hirata, Yoshito & Aihara, Kazuyuki, 2012. "Timing matters in foreign exchange markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 760-766.
    10. Takayuki Mizuno & Takaaki Ohnishi & Tsutomu Watanabe, 2016. "Power laws in market capitalization during the Dot-com and Shanghai bubble periods," CARF F-Series CARF-F-392, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    11. Mizuno, Takayuki & Ohnishi, Takaaki & Watanabe, Tsutomu, 2016. "Power law in market capitalization during Dot-com and Shanghai bubble periods," HIT-REFINED Working Paper Series 60, Institute of Economic Research, Hitotsubashi University.
    12. Aki-Hiro Sato, 2005. "A characteristic time scale of tick quotes on foreign currency markets," Papers physics/0509142, arXiv.org.
    13. Takaaki Ohnishi & Hideki Takayasu & Takatoshi Ito & Yuko Hashimoto & Tsutomu Watanabe & Misako Takayasu, 2008. "Dynamics of quote and deal prices in the foreign exchange market," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 3(1), pages 99-106, June.

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