Estimating the spot covariation of asset prices: Statistical theory and empirical evidence

Markus Bibinger, Nikolaus Hautsch, Peter Malec and Markus Reiss

No 477, CFS Working Paper Series from Center for Financial Studies (CFS)

Abstract: We propose a new estimator for the spot covariance matrix of a multi-dimensional continuous semi-martingale log asset price process which is subject to noise and non-synchronous observations. The estimator is constructed based on a local average of block-wise parametric spectral covariance estimates. The latter originate from a local method of moments (LMM) which recently has been introduced by Bibinger et al. (2014). We extend the LMM estimator to allow for autocorrelated noise and propose a method to adaptively infer the autocorrelations from the data. We prove the consistency and asymptotic normality of the proposed spot covariance estimator. Based on extensive simulations we provide empirical guidance on the optimal implementation of the estimator and apply it to high-frequency data of a cross-section of NASDAQ blue chip stocks. Employing the estimator to estimate spot covariances, correlations and betas in normal but also extreme-event periods yields novel insights into intraday covariance and correlation dynamics. We show that intraday (co-)variations (i) follow underlying periodicity patterns, (ii) reveal substantial intraday variability associated with (co-)variation risk, (iii) are strongly serially correlated, and (iv) can increase strongly and nearly instantaneously if new information arrives.

Keywords: local method of moments; spot covariance; smoothing; intraday (co-)variation risk (search for similar items in EconPapers)
JEL-codes: C14 C32 C58 (search for similar items in EconPapers)
Date: 2014
New Economics Papers: this item is included in nep-mst
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Citations: View citations in EconPapers (3)

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Related works:
Journal Article: Estimating the Spot Covariation of Asset Prices—Statistical Theory and Empirical Evidence (2019)
Working Paper: Estimating the Spot Covariation of Asset Prices – Statistical Theory and Empirical Evidence (2014)
Working Paper: Estimating the spot covariation of asset prices: Statistical theory and empirical evidence (2014)
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Persistent link: https://EconPapers.repec.org/RePEc:zbw:cfswop:477

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