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Direct Estimation of Lead–Lag Relationships Using Multinomial Dynamic Time Warping

Author

Listed:
  • Katsuya Ito

    (The University of Tokyo)

  • Ryuta Sakemoto

    (YJFX, Inc.
    Keio University)

Abstract

This paper investigates the lead–lag relationships in high-frequency data. We propose multinomial dynamic time warping (MDTW) that deals with non-synchronous observation, vast data, and time-varying lead–lag. MDTW directly estimates the lead–lags without lag candidates. Its computational complexity is linear with respect to the number of observation and it does not depend on the number of lag candidates. The experiments adopting artificial data and market data illustrate the effectiveness of our method compared to the existing methods.

Suggested Citation

  • Katsuya Ito & Ryuta Sakemoto, 2020. "Direct Estimation of Lead–Lag Relationships Using Multinomial Dynamic Time Warping," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 27(3), pages 325-342, September.
    • Handle: RePEc:kap:apfinm:v:27:y:2020:i:3:d:10.1007_s10690-019-09295-z
    DOI: 10.1007/s10690-019-09295-z
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    References listed on IDEAS

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    1. Brock, William A. & Kleidon, Allan W., 1992. "Periodic market closure and trading volume : A model of intraday bids and asks," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 451-489.
    2. Takaki Hayashi & Yuta Koike, 2016. "Wavelet-based methods for high-frequency lead-lag analysis," Papers 1612.01232, arXiv.org, revised Nov 2018.
    3. Lo, Andrew W. & Craig MacKinlay, A., 1990. "An econometric analysis of nonsynchronous trading," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 181-211.
    4. David O. Lucca & Emanuel Moench, 2015. "The Pre-FOMC Announcement Drift," Journal of Finance, American Finance Association, vol. 70(1), pages 329-371, February.
    5. Garbade, Kenneth D & Silber, William L, 1979. "Dominant and Satellite Markets: A Study of Dually-Traded Securities," The Review of Economics and Statistics, MIT Press, vol. 61(3), pages 455-460, August.
    6. Eun, Cheol S. & Shim, Sangdal, 1989. "International Transmission of Stock Market Movements," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(2), pages 241-256, June.
    7. Peiers, Bettina, 1997. "Informed Traders, Intervention, and Price Leadership: A Deeper View of the Microstructure of the Foreign Exchange Market," Journal of Finance, American Finance Association, vol. 52(4), pages 1589-1614, September.
    8. Kawaller, Ira G & Koch, Paul D & Koch, Timothy W, 1987. "The Temporal Price Relationship between S&P 500 Futures and the S and P 500 Index," Journal of Finance, American Finance Association, vol. 42(5), pages 1309-1329, December.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Lead–lag relationships; High frequency trading; Dynamic time warping;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics

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