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Integer-valued Lévy processes and low latency financial econometrics

Author

Listed:
  • Ole E. Barndorff-Nielsen

    (The T.N. Thiele Centre for Mathematics in Natural Science, Department of Mathematical Sciences, University of Aarhus, and CREATES)

  • David G. Pollard

    (AHL Research, Man Research Laboratory)

  • Neil Shephard

    (Oxford-Man Institute, University of Oxford)

Abstract

Motivated by features of low latency data in financial econometrics we study in detail integervalued Lévy processes as the basis of price processes for high frequency econometrics. We propose using models built out of the difference of two subordinators. We apply these models in practice to low latency data for a variety of different types of futures contracts.

Suggested Citation

  • Ole E. Barndorff-Nielsen & David G. Pollard & Neil Shephard, 2010. "Integer-valued Lévy processes and low latency financial econometrics," CREATES Research Papers 2010-66, Department of Economics and Business Economics, Aarhus University.
    • Handle: RePEc:aah:create:2010-66
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    File URL: https://repec.econ.au.dk/repec/creates/rp/10/rp10_66.pdf
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    References listed on IDEAS

    as
    1. Neil Shephard & Ole E. Barndorff-Nielsen & University of Aarhus, 2001. "Normal Modified Stable Processes," Economics Series Working Papers 72, University of Oxford, Department of Economics.
    2. Ole E. Barndorff-Nielsen & Peter Reinhard Hansen & Asger Lunde & Neil Shephard, 2008. "Designing Realized Kernels to Measure the ex post Variation of Equity Prices in the Presence of Noise," Econometrica, Econometric Society, vol. 76(6), pages 1481-1536, November.
    3. Ole E. Barndorff‐Nielsen & Neil Shephard, 2002. "Econometric analysis of realized volatility and its use in estimating stochastic volatility models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(2), pages 253-280, May.
    4. repec:oxf:wpaper:264 is not listed on IDEAS
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    Keywords

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    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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