An Intraday GARCH Model for Discrete Price Changes and Irregularly Spaced Observations

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1. Verfasser: Holý, Vladimír
Format: Preprint
Veröffentlicht: 2022
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author Holý, Vladimír
author_facet Holý, Vladimír
contents We develop a novel observation-driven model for high-frequency prices. We account for irregularly spaced observations, simultaneous transactions, discreteness of prices, and market microstructure noise. The relation between trade durations and price volatility, as well as intraday patterns of trade durations and price volatility, is captured using smoothing splines. The dynamic model is based on the zero-inflated Skellam distribution with time-varying volatility in a score-driven framework. Market microstructure noise is filtered by including a moving average component. The model is estimated by the maximum likelihood method. In an empirical study of the IBM stock, we demonstrate that the model provides a good fit to the data. Besides modeling intraday volatility, it can also be used to measure daily realized volatility.
format Preprint
id arxiv_https___arxiv_org_abs_2211_12376
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle An Intraday GARCH Model for Discrete Price Changes and Irregularly Spaced Observations
Holý, Vladimír
Statistical Finance
We develop a novel observation-driven model for high-frequency prices. We account for irregularly spaced observations, simultaneous transactions, discreteness of prices, and market microstructure noise. The relation between trade durations and price volatility, as well as intraday patterns of trade durations and price volatility, is captured using smoothing splines. The dynamic model is based on the zero-inflated Skellam distribution with time-varying volatility in a score-driven framework. Market microstructure noise is filtered by including a moving average component. The model is estimated by the maximum likelihood method. In an empirical study of the IBM stock, we demonstrate that the model provides a good fit to the data. Besides modeling intraday volatility, it can also be used to measure daily realized volatility.
title An Intraday GARCH Model for Discrete Price Changes and Irregularly Spaced Observations
topic Statistical Finance
url https://arxiv.org/abs/2211.12376