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Random walk or a run. Market microstructure analysis of foreign exchange rate movements based on conditional probability

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  • Yuko Hashimoto
  • Takatoshi Ito
  • Takaaki Ohnishi
  • Misako Takayasu
  • Hideki Takayasu
  • Tsutomu Watanabe

Abstract

Using tick-by-tick data for the dollar--yen and euro--dollar exchange rates recorded on the actual transaction platform, a ‘run’—continuous increases or decreases in deal prices for the past several ticks—does have some predictable information on the direction of the next price movement. Deal price movements, that are consistent with order flows, tend to continue a run once it is started. Indeed, conditional probabilities of a run continuing in the same direction after several consecutive observations exceed 0.5. However, quote prices do not show such a run tendency. Hence, a random walk hypothesis is refuted in a simple test of a run using tick-by-tick data. In addition, a longer continuous increase of the price tends to be followed by a larger reversal. The findings suggest that those market participants who have access to real-time, tick-by-tick transaction data may have an advantage in predicting exchange rate movements. The findings reported here also lend support to the momentum trading strategy.

Suggested Citation

  • Yuko Hashimoto & Takatoshi Ito & Takaaki Ohnishi & Misako Takayasu & Hideki Takayasu & Tsutomu Watanabe, 2012. "Random walk or a run. Market microstructure analysis of foreign exchange rate movements based on conditional probability," Quantitative Finance, Taylor & Francis Journals, vol. 12(6), pages 893-905, March.
    • Handle: RePEc:taf:quantf:v:12:y:2012:i:6:p:893-905
    DOI: 10.1080/14697681003792237
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    1. In praise of belief in efficient markets
      by chris dillow in Stumbling and Mumbling on 2009-02-13 17:14:47

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    3. Ichiki, Shingo & Nishinari, Katsuhiro, 2015. "Simple stochastic order-book model of swarm behavior in continuous double auction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 304-314.
    4. Shingo Ichiki & Katsuhiro Nishinari, 2014. "Simple Stochastic Order-Book Model of Swarm Behavior in Continuous Double Auction," Papers 1411.2215, arXiv.org.
    5. 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.
    6. Rechenthin, Michael & Street, W. Nick, 2013. "Using conditional probability to identify trends in intra-day high-frequency equity pricing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6169-6188.
    7. Schmidt, Anatoly B., 2009. "Detrending the realized volatility in the global FX market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(9), pages 1887-1892.

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    JEL classification:

    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • F33 - International Economics - - International Finance - - - International Monetary Arrangements and Institutions
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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