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Triangular arbitrage and negative auto-correlation of foreign exchange rates

Author

Listed:
  • Aiba, Yukihiro
  • Hatano, Naomichi
  • Takayasu, Hideki
  • Marumo, Kouhei
  • Shimizu, Tokiko

Abstract

We show, on the basis of our recently introduced stochastic model, that triangular arbitrage makes the auto-correlation function of foreign exchange rates negative in a short time scale.

Suggested Citation

  • Aiba, Yukihiro & Hatano, Naomichi & Takayasu, Hideki & Marumo, Kouhei & Shimizu, Tokiko, 2003. "Triangular arbitrage and negative auto-correlation of foreign exchange rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 253-257.
    • Handle: RePEc:eee:phsmap:v:324:y:2003:i:1:p:253-257
    DOI: 10.1016/S0378-4371(02)01905-2
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    References listed on IDEAS

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    1. Aiba, Yukihiro & Hatano, Naomichi & Takayasu, Hideki & Marumo, Kouhei & Shimizu, Tokiko, 2002. "Triangular arbitrage as an interaction among foreign exchange rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(3), pages 467-479.
    2. Mantegna,Rosario N. & Stanley,H. Eugene, 2007. "Introduction to Econophysics," Cambridge Books, Cambridge University Press, number 9780521039871, October.
    3. H. Takayasu & M. Takayasu & M. P. Okazaki & K. Marumo & T. Shimizu, 2000. "Fractal Properties in Economics," Papers cond-mat/0008057, arXiv.org, revised Aug 2000.
    4. I. Moosa, 2001. "Triangular arbitrage in the spot and forward foreign exchange markets," Quantitative Finance, Taylor & Francis Journals, vol. 1(4), pages 387-390.
    5. Yukihiro Aiba & Naomichi Hatano & Hideki Takayasu & Kouhei Marumo & Tokiko Shimizu, 2002. "Triangular arbitrage as an interaction among foreign exchange rates," Papers cond-mat/0202391, arXiv.org, revised Mar 2002.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Takatoshi Ito & Kenta Yamada & Misako Takayasu & Hideki Takayasu, 2012. "Free Lunch! Arbitrage Opportunities in the Foreign Exchange Markets," NBER Working Papers 18541, National Bureau of Economic Research, Inc.
    2. Peter G. Szilagyi & Jonathan A. Batten, 2006. "Arbitrage, Covered Interest Parity and Long-Term Dependence between the US Dollar and the Yen," The Institute for International Integration Studies Discussion Paper Series iiisdp128, IIIS.
    3. Ye Wang & Yan Chen & Haotian Wu & Liyi Zhou & Shuiguang Deng & Roger Wattenhofer, 2021. "Cyclic Arbitrage in Decentralized Exchanges," Papers 2105.02784, arXiv.org, revised Jan 2022.
    4. Zura Kakushadze & Juan Andrés Serur, 2018. "151 Trading Strategies," Springer Books, Springer, number 978-3-030-02792-6, January.
    5. Batten, Jonathan A. & Szilagyi, Peter G., 2007. "Covered interest parity arbitrage and temporal long-term dependence between the US dollar and the Yen," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 409-421.
    6. Aiba, Yukihiro & Hatano, Naomichi, 2004. "Triangular arbitrage in the foreign exchange market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 174-177.

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