On the Correlation Structure of Microstructure Noise: A Financial Economic Approach

Working Paper: NBER ID: w16469

Authors: Francis X. Diebold; Georg Strasser

Abstract: We introduce the financial economics of market microstructure into the financial econometrics of asset return volatility estimation. In particular, we use market microstructure theory to derive the cross-correlation function between latent returns and market microstructure noise, which feature prominently in the recent volatility literature. The cross-correlation at zero displacement is typically negative, and cross-correlations at nonzero displacements are positive and decay geometrically. If market makers are sufficiently risk averse, however, the cross-correlation pattern is inverted. Our results are useful for assessing the validity of the frequently-assumed independence of latent price and microstructure noise, for explaining observed cross-correlation patterns, for predicting as-yet undiscovered patterns, and for making informed conjectures regarding improved volatility estimation methods.

Keywords: market microstructure; volatility estimation; latent prices; microstructure noise

JEL Codes: C51; D82; D83; G14; G20


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
latent prices (strong form) (D84)microstructure noise (MSN) (C58)
latent prices (semistrong) (D84)microstructure noise (MSN) (C58)
market makers' risk aversion (D81)cross-correlation between latent returns and MSN (C29)
stronger market return's volatility (G17)contemporaneous cross-correlation positive (C10)
microstructure noise (C58)biased estimates of variance of efficient returns (C51)
latent prices (J46)biased estimates of variance of efficient returns (C51)

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