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Intraday Stock Price Dependence using Dynamic Discrete Copula Distributions

We investigate the intraday dependence pattern between tick data of stock price changes using a new time-varying model for discrete copulas. We let parameters of both the marginal models and the copula vary over time using an observation driven autoregressive updating scheme based on the score of the conditional probability mass function with respect to the time-varying parameters. We apply the model to high-frequency stock price changes expressed as discrete tick-size multiples for four liquid U.S. financial stocks. Our modeling framework is based on Skellam densities for the marginals and a range of different copula functions. We find evidence of intraday time-variation in the dependence structure. After the opening and before the close of the stock market, dependence levels are lower. We attribute this finding to more idiosyncratic trading at these times. The introduction of score driven dynamics in the dependence structure significantly increases the likelihood values of the time-varying copula model. By contrast, a fixed daily seasonal dependence pattern clearly fits the data less well.
Year of publication:
2015-03-19
Authors: Koopman, Siem Jan ; Lit, Rutger ; Lucas, André
Institutions: Tinbergen Instituut
Subject: time-varying copulas | dynamic discrete data | score driven models | Skellam distribution | dynamic dependence
Extent:
application/pdf
Series:
Type of publication: Book / Working Paper
Notes:
The text is part of a series Tinbergen Institute Discussion Papers Number 15-037/III/DSF90
Classification: C32 - Time-Series Models ; G11 - Portfolio Choice
Source:
Persistent link: https://ebvufind01.dmz1.zbw.eu/10011256977
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