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Dynamical volatilities for yen–dollar exchange rates

Author

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  • Yoon, Seong-Min
  • Choi, J.S.
  • Christopher Lee, C.
  • Yum, Myung-Kul
  • Kim, Kyungsik

Abstract

We study the continuous time random walk theory from financial tick data of the yen–dollar exchange rate transacted at the Japanese financial market. The dynamical behavior of returns and volatilities in this case is particularly treated at the long-time limit. We find that the volatility for prices shows a power-law with anomalous scaling exponents κ=0.92 (1min) and 0.78 (10min) and that our behavior occurs in the subdiffusive process. Our result presented will be compared with that of recent numerical calculations.

Suggested Citation

  • Yoon, Seong-Min & Choi, J.S. & Christopher Lee, C. & Yum, Myung-Kul & Kim, Kyungsik, 2006. "Dynamical volatilities for yen–dollar exchange rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 359(C), pages 569-575.
    • Handle: RePEc:eee:phsmap:v:359:y:2006:i:c:p:569-575
    DOI: 10.1016/j.physa.2005.05.089
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    Cited by:

    1. Jiang, Zhi-Qiang & Chen, Wei & Zhou, Wei-Xing, 2009. "Detrended fluctuation analysis of intertrade durations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 433-440.
    2. Wang, Dong-Hua & Yu, Xiao-Wen & Suo, Yuan-Yuan, 2012. "Statistical properties of the yuan exchange rate index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(12), pages 3503-3512.
    3. Jiang, Zhi-Qiang & Chen, Wei & Zhou, Wei-Xing, 2008. "Scaling in the distribution of intertrade durations of Chinese stocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5818-5825.
    4. Ni, Xiao-Hui & Jiang, Zhi-Qiang & Gu, Gao-Feng & Ren, Fei & Chen, Wei & Zhou, Wei-Xing, 2010. "Scaling and memory in the non-Poisson process of limit order cancelation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(14), pages 2751-2761.
    5. Ruan, Yong-Ping & Zhou, Wei-Xing, 2011. "Long-term correlations and multifractal nature in the intertrade durations of a liquid Chinese stock and its warrant," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1646-1654.
    6. Kang, Sang Hoon & Yoon, Seong-Min, 2007. "Long memory properties in return and volatility: Evidence from the Korean stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 591-600.

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