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Triangular arbitrage in the foreign exchange market

Author

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  • Aiba, Yukihiro
  • Hatano, Naomichi

Abstract

We first review our previous work, showing what is the triangular arbitrage transaction and how to quantify the triangular arbitrage opportunity. Next we explain that the correlation of the foreign exchange rates can appear without actual triangular arbitrage transaction.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:344:y:2004:i:1:p:174-177
    DOI: 10.1016/j.physa.2004.06.110
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    References listed on IDEAS

    as
    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. I. Moosa, 2001. "Triangular arbitrage in the spot and forward foreign exchange markets," Quantitative Finance, Taylor & Francis Journals, vol. 1(4), pages 387-390.
    3. 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.
    4. Sazuka, Naoya & Ohira, Toru & Marumo, Kouhei & Shimizu, Tokiko & Takayasu, Misako & Takayasu, Hideki, 2003. "A dynamical structure of high frequency currency exchange market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 366-371.
    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.
    6. Ohira, Toru & Sazuka, Naoya & Marumo, Kouhei & Shimizu, Tokiko & Takayasu, Misako & Takayasu, Hideki, 2002. "Predictability of currency market exchange," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 368-374.
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    Citations

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    Cited by:

    1. Gradojevic, Nikola & Erdemlioglu, Deniz & Gençay, Ramazan, 2020. "A new wavelet-based ultra-high-frequency analysis of triangular currency arbitrage," Economic Modelling, Elsevier, vol. 85(C), pages 57-73.
    2. Takatoshi Ito & Kenta Yamada & Misako Takayasu & Hideki Takayasu, 2020. "Execution Risk and Arbitrage Opportunities in the Foreign Exchange Markets," NBER Working Papers 26706, National Bureau of Economic Research, Inc.
    3. Sato, Aki-Hiro, 2007. "Frequency analysis of tick quotes on the foreign exchange market and agent-based modeling: A spectral distance approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 258-270.
    4. 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.
    5. 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.
    6. Robert Gk{e}barowski & Pawe{l} O'swik{e}cimka & Marcin Wk{a}torek & Stanis{l}aw Dro.zd.z, 2019. "Detecting correlations and triangular arbitrage opportunities in the Forex by means of multifractal detrended cross-correlations analysis," Papers 1906.07491, arXiv.org, revised Oct 2019.
    7. 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.

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