Bootstrapping Pre-Averaged Realized Volatility under Market Microstructure Noise

Goncalves, Silvia, Hounyo, Ulrich and Meddahi, Nour (2017) Bootstrapping Pre-Averaged Realized Volatility under Market Microstructure Noise. Econometric Theory, vol. 33 (n° 4). pp. 791-838.

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Official URL: http://tse-fr.eu/pub/27208

Abstract

The main contribution of this paper is to propose a bootstrap method for inference on integrated volatility based on the pre-averaging approach, where the pre-averaging is done over all possible overlapping blocks of consecutive observations. The overlapping nature of the pre-averaged returns implies that the leading martingale part in the pre-averaged returns are kn-dependent with kn growing slowly with the sample size n. This motivates the application of a blockwise bootstrap method. We show that the \blocks of blocks" bootstrap method is not valid when volatility is time-varying. The failure of the blocks of blocks bootstrap is due to the heterogeneity of the squared pre-averaged returns when volatility is stochastic. To preserve both the dependence and the heterogeneity of squared pre-averaged returns, we propose a novel procedure that combines the wild bootstrap with the blocks of blocks bootstrap. We provide a proof of the first order asymptotic validity of this method for percentile and percentile-t intervals. Our Monte Carlo simulations show that the wild blocks of blocks bootstrap improves the finite sample properties of the existing first order asymptotic theory. We use empirical work to illustrate its use in practice.

Item Type: Article
Language: English
Date: August 2017
Refereed: Yes
Uncontrolled Keywords: Block bootstrap, high frequency data, market microstructure noise, preaveraging, realized volatility, wild bootstrap
Subjects: B- ECONOMIE ET FINANCE
Divisions: TSE-R (Toulouse)
Site: UT1
Date Deposited: 09 Jul 2014 17:36
Last Modified: 24 Jan 2019 00:08
OAI ID: oai:tse-fr.eu:27208
URI: http://publications.ut-capitole.fr/id/eprint/15621

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