Publication Type

Journal Article

Version

submittedVersion

Publication Date

11-2023

Abstract

A model of financial asset price determination is proposed that incorporates flat trading features into an efficient price process. The model involves the superposition of a Brownian semimartingale process for the effcient price and a Bernoulli process that determines the extent of price trading. The approach is related to sticky price modeling and the Calvo pricing mechanism in macroeconomic dynamics. A limit theory for the conventional realized volatility (RV) measure of integrated volatility is developed. The results show that RV is still consistent but has an inflated asymptotic variance that depends on the probability of flat trading. Estimated quarticity is similarly affected, so that both the feasible central limit theorem and the inferential framework suggested in Barndorff-Nielson and Shephard (2002) remain valid under flat price trading even though there is information loss due to flat trading effects. The results are related to work by Jacod (1993) and Mykland and Zhang (2006) on realized volatility measures with random and intermittent sampling, and to ACD models for irregularly spaced transactions data. Extensions are given to include models with microstructure noise. Some simulation results are reported. Empirical evaluations with tick-by-tick data indicate that the effect of flat trading on the limit theory under microstructure noise is likely to be minor in most cases, thereby affirming the relevance of existing approaches.

Keywords

Bernoulli process, Brownian Semimartingale, Calvo pricing, Flat trading, Microstructurenoise, Quarticity function, Realied volatility, Stopping times

Discipline

Finance

Research Areas

Econometrics

Publication

Empirical Economics

ISSN

0377-7332

Publisher

Springer

Copyright Owner and License

Authors

Additional URL

http://gcoe.ier.hit-u.ac.jp/research/discussion/2008/pdf/gd08-039.pdf

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