Capturing common components in high-frequency financial time series: a multivariate stochastic multiplicative error model

Arbeitspapier

We introduce a multivariate multiplicative error model which is driven by componentspecific observation driven dynamics as well as a common latent autoregressive factor. The model is designed to explicitly account for (information driven) common factor dynamics as well as idiosyncratic effects in the processes of high-frequency return volatilities, trade sizes and trading intensities. The model is estimated by simulated maximum likelihood using efficient importance sampling. Analyzing five minutes data from four liquid stocks traded at the New York Stock Exchange, we find that volatilities, volumes and intensities are driven by idiosyncratic dynamics as well as a highly persistent common factor capturing most causal relations and cross-dependencies between the individual variables. This confirms economic theory and suggests more parsimonious specifications of high-dimensional trading processes. It turns out that common shocks affect the return volatility and the trading volume rather than the trading intensity.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: SFB 649 Discussion Paper ; No. 2007,052

Classification and Topics

• Classification: Wirtschaft ; Statistical Simulation Methods: General ; Multiple or Simultaneous Equation Models: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models ; Model Evaluation, Validation, and Selection
• Subject: Multiplicative error models ; common factor ; efficient importance sampling ; intraday trading process ; Faktorenanalyse ; Fehlerkorrekturmodell ; Zeitreihenanalyse ; Börsenkurs ; Börsenumsatz ; Volatilität ; Theorie ; USA

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Hautsch, Nikolaus
• Event: Veröffentlichung
• (who): Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk
• (where): Berlin
• (when): 2007

Further information

• Handle: http://hdl.handle.net/10419/25224
• Last update: 10.03.2025, 11:43 AM CET