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Markovian approximation in foreign exchange markets

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  • Baviera, Roberto
  • Vergni, Davide
  • Vulpiani, Angelo

Abstract

In this paper, using the exit-time statistic, we study the structure of the price variations for the high-frequency data set of the bid–ask Deutschemark/US dollar exchange rate quotes registered by the inter-bank Reuters network over the period October 1, 1992 to September 30, 1993. Having rejected random-walk models for the returns, we propose a Markovian model which reproduce the available information of the financial series. Besides the usual correlation analysis we have verified the validity of this model by means of other tools all inspired by information theory. These techniques are not only severe tests of the approximation but also evidence of some aspects of the data series which have a clear financial relevance.

Suggested Citation

  • Baviera, Roberto & Vergni, Davide & Vulpiani, Angelo, 2000. "Markovian approximation in foreign exchange markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 280(3), pages 566-581.
    • Handle: RePEc:eee:phsmap:v:280:y:2000:i:3:p:566-581
    DOI: 10.1016/S0378-4371(00)00094-7
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    References listed on IDEAS

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    Cited by:

    1. Muniandy, Sithi V. & Uning, Rosemary, 2006. "Characterization of exchange rate regimes based on scaling and correlation properties of volatility for ASEAN-5 countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 585-598.
    2. Storhas, Dominik P. & De Mello, Lurion & Singh, Abhay Kumar, 2020. "Multiscale lead-lag relationships in oil and refined product return dynamics: A symbolic wavelet transfer entropy approach," Energy Economics, Elsevier, vol. 92(C).

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