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Fractal structure in the Chinese yuan/US dollar rate


  • Sergio Da Silva

    () (Department of Economics, Federal University of Rio Grande Do Sul, Brazil)

  • Annibal Figueiredo

    () (Department of Physics, University of Brasilia)

  • Iram Gleria

    () (Department of Physics, Federal University of Alagoas)

  • Raul Matsushita

    () (Department of Statistics, University of Brasilia)


Price changes of the Chinese yuan/US dollar rate are found to display a Sierpinski triangle in an Iterative Function System clumpiness test. This fractal structure commonly emerges in “the chaos game”, where randomness coexists with deterministic rules. We show that a threshold model with four states, two deterministic and two stochastic is able to replicate the properties of the yuan/dollar returns in general, and the Sierpinski triangle in particular.

Suggested Citation

  • Sergio Da Silva & Annibal Figueiredo & Iram Gleria & Raul Matsushita, 2003. "Fractal structure in the Chinese yuan/US dollar rate," Economics Bulletin, AccessEcon, vol. 7(2), pages 1-13.
  • Handle: RePEc:ebl:ecbull:eb-02g00001

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    Cited by:

    1. Annibal Figueiredo & Iram Gleria & Raul Matsushita & Sergio Da Silva, 2004. "On the origins of truncated Lévy flights," Finance 0404013, EconWPA.
    2. Matsushita, Raul & Gleria, Iram & Figueiredo, Annibal & Da Silva, Sergio, 2007. "The Chinese chaos game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 427-442.
      • Raul, Matsushita & Iram, Gleria & Annibal, Figueiredo & Sergio, Da Silva, 2006. "The Chinese Chaos Game," MPRA Paper 1847, University Library of Munich, Germany.
    3. Cristescu, C.P. & Stan, C. & Scarlat, E.I., 2009. "The dynamics of exchange rate time series and the chaos game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(23), pages 4845-4855.
    4. Matsushita, Raul & Gleria, Iram & Figueiredo, Annibal & Rathie, Pushpa & Da Silva, Sergio, 2004. "Exponentially damped Lévy flights, multiscaling, and exchange rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 353-369.

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    JEL classification:

    • G0 - Financial Economics - - General


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