IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v324y2003i1p253-257.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437102019052
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(02)01905-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mantegna,Rosario N. & Stanley,H. Eugene, 2007. "Introduction to Econophysics," Cambridge Books, Cambridge University Press, number 9780521039871.
    2. 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.
    3. 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.
    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. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Zura Kakushadze & Juan Andrés Serur, 2018. "151 Trading Strategies," Springer Books, Springer, number 978-3-030-02792-6, November.
    3. 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.
    4. 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.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. 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.
    3. Arthur Matsuo Yamashita Rios de Sousa & Hideki Takayasu & Misako Takayasu, 2017. "Detection of statistical asymmetries in non-stationary sign time series: Analysis of foreign exchange data," PLOS ONE, Public Library of Science, vol. 12(5), pages 1-18, May.
    4. Wilfredo L. Maldonado & Juan José Egozcue & Vera Pawlowsky‐Glahn, 2021. "No‐arbitrage matrices of exchange rates: Some characterizations," International Journal of Economic Theory, The International Society for Economic Theory, vol. 17(4), pages 375-389, December.
    5. Jarosław Kwapień & Sylwia Gworek & Stanisław Drożdż & Andrzej Górski, 2009. "Analysis of a network structure of the foreign currency exchange market," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 4(1), pages 55-72, June.
    6. 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.
    7. Zura Kakushadze & Juan Andrés Serur, 2018. "151 Trading Strategies," Springer Books, Springer, number 978-3-030-02792-6, November.
    8. Daniel J. Fenn & Sam D. Howison & Mark McDonald & Stacy Williams & Neil F. Johnson, 2008. "The Mirage of Triangular Arbitrage in the Spot Foreign Exchange Market," Papers 0812.0913, arXiv.org.
    9. Alberto Ciacci & Takumi Sueshige & Hideki Takayasu & Kim Christensen & Misako Takayasu, 2020. "The microscopic relationships between triangular arbitrage and cross-currency correlations in a simple agent based model of foreign exchange markets," PLOS ONE, Public Library of Science, vol. 15(6), pages 1-19, June.
    10. 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.
    11. Papadopoulos Konstantinos G., 2008. "Purchasing Power Parity with Strategic Markets," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-32, June.
    12. Paz Grimberg & Tobias Lauinger & Damon McCoy, 2020. "Empirical Analysis of Indirect Internal Conversions in Cryptocurrency Exchanges," Papers 2002.12274, arXiv.org.
    13. 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.
    14. 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.
    15. Stefanescu, Razvan & Dumitriu, Ramona, 2016. "Particularitǎţi ale evoluţiei variabilelor financiare [Some particularities of the financial variables evolution]," MPRA Paper 73481, University Library of Munich, Germany, revised 02 Sep 2016.
    16. Assaf Almog & Ferry Besamusca & Mel MacMahon & Diego Garlaschelli, 2015. "Mesoscopic Community Structure of Financial Markets Revealed by Price and Sign Fluctuations," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-16, July.
    17. Muchnik, Lev & Bunde, Armin & Havlin, Shlomo, 2009. "Long term memory in extreme returns of financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4145-4150.
    18. Lee, Jae Woo & Eun Lee, Kyoung & Arne Rikvold, Per, 2006. "Multifractal behavior of the Korean stock-market index KOSPI," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 355-361.
    19. Kim, Kyungsik & Yoon, Seong-Min, 2004. "Multifractal features of financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 272-278.
    20. Paulo Ferreira & Éder J.A.L. Pereira & Hernane B.B. Pereira, 2020. "From Big Data to Econophysics and Its Use to Explain Complex Phenomena," JRFM, MDPI, vol. 13(7), pages 1-10, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:324:y:2003:i:1:p:253-257. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.