Abstract
We propose a realized-covariance estimator based on efficient multiple pre-averaging (EMP) for asynchronous and noisy high-frequency data. The EMP estimator is consistent, guaranteed to be positive-semidefinite, and achieves the optimal convergence rate at n−1/4. It is constructed based on 1) an innovative synchronizing technique that uses all available price information, and 2) an eigenvalue correction method that ensures positive-semidefiniteness without sacrificing the optimal convergence rate. A simulation study demonstrates the good performance of the EMP estimator for finite samples in terms of accuracy, properties, and convergence rate. In a real-data analysis, the EMP covariance estimator delivers performance that is more stable than that of alternative estimators. The new estimator also outperforms alternative realized-covariance estimators in terms of portfolio selection.
Original language | English |
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Pages (from-to) | 1441-1462 |
Number of pages | 22 |
Journal | Statistica Sinica |
Volume | 31 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2021 Jul |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty