Efficient covariance estimation for asynchronous noisy high-frequency data

Details Efficient covariance estimation for asynchronous noisy high-frequency data Efficient covariance estimation for asynchronous noisy high-frequency data

2008-12-18

arxiv.org/abs/0812.3536v1

Mathematics

Statistics Theory

29 pages, including 4 pictures

Scientific paper

We focus on estimating the integrated covariance of log-price processes in the presence of market microstructure noise. We construct an efficient unbiased estimator for the quadratic covariation of two It\^{o} processes in the case where high-frequency asynchronous discrete returns under market microstructure noise are observed. This estimator is based on synchronization and multi-scale methods and attains the optimal rate of convergence. A Monte Carlo study analyzes the finite sample size characteristics of our estimator.

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