Marked Hawkes process modeling of price dynamics and volatility estimation

A simple Hawkes model have been developed for the price tick structure dynamics incorporating market microstructure noise and trade clustering. In this paper, the model is extended with random mark to deal with more realistic price tick structures of equities. We examine the impact of jump in price...

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Bibliographic Details
Published in:arXiv.org 2019-07
Main Authors: Lee, Kyungsub, Seo, Byoung Ki
Format: Article
Language:English
Subjects:
Clustering
Computer simulation
Dependence
Economic models
Statistical methods
Volatility
Online Access:Get full text
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Summary:A simple Hawkes model have been developed for the price tick structure dynamics incorporating market microstructure noise and trade clustering. In this paper, the model is extended with random mark to deal with more realistic price tick structures of equities. We examine the impact of jump in price dynamics to the future movements and dependency between the jump sizes and ground intensities. We also derive the volatility formula based on stochastic and statistical methods and compare with realized volatility in simulation and empirical studies. The marked Hawkes model is useful to estimate the intraday volatility similarly in the case of simple Hawkes model.
ISSN:2331-8422
DOI:10.48550/arxiv.1907.12025