Arbeitspapier

Copula-based dynamic conditional correlation multiplicative error processes

We introduce a copula-based dynamic model for multivariate processes of (non-negative) high-frequency trading variables revealing time-varying conditional variances and correlations. Modeling the variables' conditional mean processes using a multiplicative error model we map the resulting residuals into a Gaussian domain using a Gaussian copula. Based on high-frequency volatility, cumulative trading volumes, trade counts and market depth of various stocks traded at the NYSE, we show that the proposed copula-based transformation is supported by the data and allows capturing (multivariate) dynamics in higher order moments. The latter are modeled using a DCC-GARCH specification. We suggest estimating the model by composite maximum likelihood which is sufficiently flexible to be applicable in high dimensions. Strong empirical evidence for time-varying conditional (co-)variances in trading processes supports the usefulness of the approach. Taking these higher-order dynamics explicitly into account significantly improves the goodness-of-fit of the multiplicative error model and allows capturing time-varying liquidity risks.

Language
Englisch

Bibliographic citation
Series: CFS Working Paper ; No. 2013/19

Classification
Wirtschaft
Multiple or Simultaneous Equation Models: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
Financial Econometrics
Specific Distributions; Specific Statistics
Subject
multiplicative error model
trading processes
copula
DCC-GARCH
liquidity risk

Event
Geistige Schöpfung
(who)
Bodnar, Taras
Hautsch, Nikolaus
Event
Veröffentlichung
(who)
Goethe University Frankfurt, Center for Financial Studies (CFS)
(where)
Frankfurt a. M.
(when)
2013

Handle
URN
urn:nbn:de:hebis:30:3-324967
Last update
10.03.2025, 11:45 AM CET

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Object type

  • Arbeitspapier

Associated

  • Bodnar, Taras
  • Hautsch, Nikolaus
  • Goethe University Frankfurt, Center for Financial Studies (CFS)

Time of origin

  • 2013

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