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A Lagrangian multiplier test for market microstructure noise with applications to sampling interval determination for realized volatilities

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  • Shin, Dong Wan
  • Hwang, Eunju

Abstract

A Lagrangian multiplier test is proposed for testing market microstructure noise (MMN) in financial asset prices. The test is very simple and is asymptotically chi-squared with 1-degree of freedom. The test is applied to sampling interval determination for realized volatilities (RVs) which validates the commonly used “ad hoc rule of between 5 and 30 min” for sampling interval. The proposed test gives a statistical justification for RVs of negligible serial correlation in the log-returns owning to MMN for sampling interval larger than a selected one. A Monte Carlo experiment shows reasonable size and power performance of the test. The proposed test is illustrated for two real data sets.

Suggested Citation

  • Shin, Dong Wan & Hwang, Eunju, 2015. "A Lagrangian multiplier test for market microstructure noise with applications to sampling interval determination for realized volatilities," Economics Letters, Elsevier, vol. 129(C), pages 95-99.
    • Handle: RePEc:eee:ecolet:v:129:y:2015:i:c:p:95-99
    DOI: 10.1016/j.econlet.2015.02.013
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    References listed on IDEAS

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    More about this item

    Keywords

    Lagrangian multiplier test; Market microstructure noise; Realized volatility;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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