FAST CONVERGENCE RATES IN ESTIMATING LARGE VOLATILITY MATRICES USING HIGH-FREQUENCY FINANCIAL DATA

B-Tier
Journal: Econometric Theory
Year: 2013
Volume: 29
Issue: 4
Pages: 838-856

Authors (3)

Tao, Minjing (not in RePEc) Wang, Yazhen (not in RePEc) Chen, Xiaohong (Yale University)

Score contribution per author:

0.673 = (α=2.02 / 3 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

Financial practices often need to estimate an integrated volatility matrix of a large number of assets using noisy high-frequency data. Many existing estimators of a volatility matrix of small dimensions become inconsistent when the size of the matrix is close to or larger than the sample size. This paper introduces a new type of large volatility matrix estimator based on nonsynchronized high-frequency data, allowing for the presence of microstructure noise. When both the number of assets and the sample size go to infinity, we show that our new estimator is consistent and achieves a fast convergence rate, where the rate is optimal with respect to the sample size. A simulation study is conducted to check the finite sample performance of the proposed estimator.

Technical Details

RePEc Handle
repec:cup:etheor:v:29:y:2013:i:04:p:838-856_00
Journal Field
Econometrics
Author Count
3
Added to Database
2026-01-25