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The Chinese Chaos Game

Author

Listed:
  • Raul, Matsushita
  • Iram, Gleria
  • Annibal, Figueiredo
  • Sergio, Da Silva

Abstract

The yuan-dollar returns prior to the 2005 revaluation show a Sierpinski triangle in an iterated function system clumpiness test. Yet the fractal vanishes after the revaluation. The Sierpinski commonly emerges in the chaos game, where randomness coexists with deterministic rules [2, 3]. Here it is explained by the yuan’s pegs to the US dollar, which made more than half of the data points close to zero. Extra data from the Brazilian and Argentine experiences do confirm that the fractal emerges whenever exchange rate pegs are kept for too long.

Suggested Citation

  • Raul, Matsushita & Iram, Gleria & Annibal, Figueiredo & Sergio, Da Silva, 2006. "The Chinese Chaos Game," MPRA Paper 1847, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:1847
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    File URL: https://mpra.ub.uni-muenchen.de/1847/1/MPRA_paper_1847.pdf
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    1. repec:ebl:ecbull:v:7:y:2003:i:2:p:1-13 is not listed on IDEAS
    2. 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.
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    Cited by:

    1. 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.
    2. Cristescu, Constantin P. & Stan, Cristina & Scarlat, Eugen I. & Minea, Teofil & Cristescu, Cristina M., 2012. "Parameter motivated mutual correlation analysis: Application to the study of currency exchange rates based on intermittency parameter and Hurst exponent," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2623-2635.

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    More about this item

    JEL classification:

    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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