Copula-Based Specification of Vector MEMs
25 Pages Posted: 6 Apr 2016
Date Written: April 5, 2016
The Multiplicative Error Model (Engle (2002)) for nonnegative valued processes is specified as the product of a (conditionally autoregressive) scale factor and an innovation process with nonnegative support. A multivariate extension allows for the innovations to be contemporaneously correlated. We overcome the lack of sufficiently flexible probability density functions for such processes by suggesting a copula function approach to estimate the parameters of the scale factors and of the correlations of the innovation processes. We illustrate this vector MEM with an application to the interactions between realized volatility, volume and the number of trades. We show that significantly superior realized volatility forecasts are delivered in the presence of other trading activity indicators and contemporaneous correlations.
Keywords: GARCH; MEM; Realized Volatility; Trading Volume; Trading Activity; Copula; Volatility Forecasting
JEL Classification: C32, C53, C58
Suggested Citation: Suggested Citation