Modeling the Epps effect of cross correlations in asset prices

Bence Tóth*, Bálint Tóth*, János Kertész

*Corresponding author for this work

Research output: Contribution to Book/Report typesConference contributionpeer-review

Abstract (may include machine translation)

We review the decomposition method of stock return cross-correlations, presented previously1 for studying the dependence of the correlation coefficient on the resolution of data (Epps effect). Through a toy model of random walk/Brownian motion and memoryless renewal process (i.e. Poisson point process) of observation times we show that in case of analytical treatability, by decomposing the correlations we get the exact result for the frequency dependence. We also demonstrate that our approach produces reasonable fitting of the dependence of correlations on the data resolution in case of empirical data. Our results indicate that the Epps phenomenon is a product of the finite time decay of lagged correlations of high resolution data, which does not scale with activity. The characteristic time is due to a human time scale, the time needed to react to news.

Original languageEnglish
Title of host publicationNoise and Stochastics in Complex Systems and Finance
DOIs
StatePublished - 2007
Externally publishedYes
EventNoise and Stochastics in Complex Systems and Finance - Florence, Italy
Duration: 21 May 200724 May 2007

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume6601
ISSN (Print)0277-786X

Conference

ConferenceNoise and Stochastics in Complex Systems and Finance
Country/TerritoryItaly
CityFlorence
Period21/05/0724/05/07

Keywords

  • Epps effect
  • Financial correlations
  • High frequency data
  • Market microstructure
  • Renewal process

Fingerprint

Dive into the research topics of 'Modeling the Epps effect of cross correlations in asset prices'. Together they form a unique fingerprint.

Cite this