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Market microstructure noise, integrated variance estimators, and the accuracy of asymptotic approximations

机译:市场微观结构噪声,综合方差估计量和渐近逼近的准确性

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摘要

A growing literature has been advocating consistent kernel estimation of integrated variance in the presence of financial market microstructure noise. We find that, for realistic sample sizes encountered in practice, the asymptotic results derived forthe proposed estimators may provide unsatisfactory representations of their finite sample properties. In addition, the existing asymptotic results might not offer sufficient guidance for practical implementations. We show how to optimize the finite sample properties of kernel-based integrated variance estimators. Empirically, we find that their suboptimal implementation can, in some cases, lead to little or no finite sample gains when compared to the classical realized variance estimator. Significant statistical and economic gains can, however, be recovered by using our proposed finite sample methods.
机译:越来越多的文献提倡在存在金融市场微观结构噪声的情况下对综合方差进行一致的核估计。我们发现,对于在实践中遇到的实际样本量,为拟议的估计量得出的渐近结果可能无法提供其有限样本性质的令人满意的表示。此外,现有的渐近结果可能无法为实际实现提供足够的指导。我们展示了如何优化基于核的集成方差估计量的有限样本属性。从经验上,我们发现,与经典的实现方差估计器相比,在某些情况下,它们的次优实现可能导致有限的样本增益很小或没有。但是,通过使用我们提出的有限样本方法可以回收大量的统计和经济收益。

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