Efficient covariance estimation for asynchronous noisy high-frequency data

2008/12/18 by Markus Bibinger, Bibinger, Markus
Economics, Econometrics and Finance · #Financial Risk and Volatility Modeling #Stochastic processes and financial applications #Complex Systems and Time Series Analysis

paper · pdf · doi:10.48550/arxiv.0812.3536

Abstract

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 Itô 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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