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A multifractal analysis of Asian foreign exchange markets

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Abstract

We analyze the multifractal spectra of daily foreign exchange rates for Japan, Hong-Kong, Korea, and Thailand with respect to the United States in the period from 1991 until 2005. We find that the return time series show multifractal spectrum features for all four cases. To observe the effect of the Asian currency crisis, we also estimate the multifractal spectra of limited series before and after the crisis. We find that the Korean and Thai foreign exchange markets experienced a significant increase in multifractality compared to Hong-Kong and Japan. We also show that the multifractality is stronger related to the presence of high values of returns in the series.

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References

  1. R.N. Mantegna, H.E. Stanley, An Introduction to Econophysics: Correlation and Complexity in Finance (Cambridge University Press, Cambridge, UK, 1999)

  2. J.-P. Bouchaud, M. Potters Theory of Financial Risk and Derivative Pricing: From Statistical Physics to Risk Management (Cambridge University Press, Cambridge, UK, 2004)

  3. R.N. Mantegna et al., Nature 376, 46 (1995)

    Article  ADS  Google Scholar 

  4. R.N. Mantegna et al., Nature 383, 587 (1996)

    Article  ADS  Google Scholar 

  5. V. Plerou et al., Nature 421, 130 (2003)

    Article  ADS  Google Scholar 

  6. X. Gabaix et al., Nature 423, 267 (2003)

    Article  ADS  Google Scholar 

  7. Y. Liu et al., Phys. Rev. E 60, 1390 (1999)

    Article  ADS  Google Scholar 

  8. K. Yamasaki et al., Proc. Natl. Acad. Sci. USA 102, 9424 (2005)

    Article  ADS  Google Scholar 

  9. G. Oh et al., J. Korean Phys. Soc. 48, 197 (2006)

    Google Scholar 

  10. F. Wang et al., Phys. rev. E 73, 066128 (2006)

    Article  Google Scholar 

  11. J.F. Muzy et al., Eur. Phys. J. B 17, 537 (2000)

    Article  ADS  Google Scholar 

  12. Z. Eisler et al., Physica A 343, 603 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  13. L. Calvet et al., J. Econom. 105, 27 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  14. D. Sornette, G. Ouillon, Phys. Rev. E 94, 038501 (2005)

    ADS  Google Scholar 

  15. P.Ch. Ivanov, L.A.N. Amaral, A.L. Goldberger, S. Havlin, M.G. Rosenblum, Z. Struzik, H.E. Stanley, Nature 399, 461 (1999)

    Article  ADS  Google Scholar 

  16. G. Parisi, U. Frisch, Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics, Proceedings of the International School “Enrico fermi” (North-Holland, Amsterdam, Netherlands, 1985)

  17. B.B. Mandelbrot, Fractals and Scaling In Finance (Springer, New York, USA, 1997)

  18. J. Barunik, L. Kristoufek, Physica A 389, 3844 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  19. K. Matia, Y. Ashkenazy, H.E. Stanley, Europhys. Lett. 61, 422 (2003)

    Article  ADS  Google Scholar 

  20. J. Kwapień, P. Oświecimka, S. Droźdź, Physica A 350, 466 (2005)

    Article  ADS  Google Scholar 

  21. Y. Ashkenazy, S. Havlin, P.Ch. Ivanov, C.-K. Peng, V. Schulte-Frohlinde, H.E. Stanley, Physica A 323, 19 (2003)

    Article  ADS  MATH  Google Scholar 

  22. J.W. Kantelhardt, S. Zschiegner, E. Koscielny-Bunde, S. Havlin, A. Bunde, H.E. Stanley, Physica A 316, 87 (2002)

    Article  ADS  MATH  Google Scholar 

  23. C.K. Peng, S.V. Buldyrev, A.L. Goldberger, S. Havlin, M. Simons, H.E. Stanley, Phys. Rev. E 47, 3730 (1994)

    Article  ADS  Google Scholar 

  24. G. Oh, S. Kim, C. Eom, Physica A 382, 209 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  25. J. Theiler, S. Eubank, A. Lontin, B. Galdrikian, J. Doyne, Physica D 58, 77 (1992)

    Article  ADS  MATH  Google Scholar 

  26. E.F. Fama, J. Financ. 25, 383 (1970)

    Article  Google Scholar 

  27. A. Arneodo, E. Bacry, J.F. Muzy, J. Math. Phys. 39, 4142 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  28. A. Clauset, C.R. Shalizi, M.E.J. Newman, SIAM Rev. 51, 661 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Correspondence to W. -S. Jung.

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Oh, G., Eom, C., Havlin, S. et al. A multifractal analysis of Asian foreign exchange markets. Eur. Phys. J. B 85, 214 (2012). https://doi.org/10.1140/epjb/e2012-20570-0

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  • DOI: https://doi.org/10.1140/epjb/e2012-20570-0

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