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Empirical Properties of High-Frequency Data

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Econometrics of Financial High-Frequency Data

Abstract

In this chapter, we present financial high-frequency data and their empirical properties. We discuss data preparation issues and show the statistical properties of various high-frequency variables based on blue chip assets traded at the NYSE, NASDAQ and XETRA. Section 3.1 focuses on peculiar problems which have to be taken into account when transaction data sets are prepared. Section 3.2 discusses the concept of so-called financial durations arising from aggregations based on trading events. Section 3.3 illustrates the statistical features of different types of financial durations including trade durations, price (change) durations and volume durations. In Sect.3.4, we discuss the properties of further trading characteristics such as high-frequency returns, trading volumes, bid-ask spreads and market depth. Section 3.5 presents the empirical features of time aggregated data. Finally, Sect.3.6 gives a compact summary of the major empirical features of high-frequency data.

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Notes

  1. 1.

    Strictly speaking, the terminology ”tick data” refers to settings where the data is only recorded whenever the price changes (by at least one tick). The literature is not always stringent with these terminologies.

  2. 2.

    Automatic and efficient limit order book reconstruction can be performed by a limit order book system reconstructor (“LOBSTER”) which is developed at Humboldt-Universität zu Berlin and can be accessed on http://lobster.wiwi.hu-berlin.de.

  3. 3.

    This example was kindly provided by Roel Oomen.

  4. 4.

    Often it is a matter of measurement accuracy that determines whether sub-transactions have exactly the same time stamp or differ only by hundredths of a second.

  5. 5.

    For more details, see Chap. 8.

  6. 6.

    See Chap. 8 for more details on this relationship.

  7. 7.

    Note that these effects are notcaused by split-transactions since such effects have been taken into account already.

  8. 8.

    For more details on the estimation of seasonality effects, see Sect. 5.4.

  9. 9.

    The discontinuities are caused by finite-sample properties as for high aggregation levels the number of underlying observations naturally shrinks.

  10. 10.

    The asymmetries in the distributions are induced by the underlying sample period where, e.g., for JPM, upward price movements are slightly less likely than downward movements.

  11. 11.

    We do not record trade-to-trade midquote changes for Deutsche Telekom since for this stock, we only employ 1-s limit order book snapshots.

  12. 12.

    The ACFs for bid quote changes look very similar and are not shown here.

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Hautsch, N. (2012). Empirical Properties of High-Frequency Data. In: Econometrics of Financial High-Frequency Data. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21925-2_3

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  • DOI: https://doi.org/10.1007/978-3-642-21925-2_3

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