Print

Print


Thanks to all who helped me with my EGARCH queries...especially Pieter and
Jean-Philippe.

Being relatively new to GARCH estimation, I have another question with
regard to interpretation.

I am estimation a GARCH(1,1) model for the pound-dollar exchange
rate.  There are no covariates in the conditional mean.

The conditional variance, however, includes three variables that measure
changes in the political and economic situation in the UK.  I include a
dummy variable for the 1992 currency crisis, a continuous indicator of
public approval for the party in power and an interaction between these two
variables.

The results I get are:

MEAN
_constant       .0048

VARIANCE
_constant       -10.56
crisis          1.96
approval        -1.22
interaction     -.020

ARCH
arch            .056
garch           .764

All variables are individually significant.

Here is my question:  how does one interpret the coefficients on the
variables in the VARIANCE?  If this was traditional OLS, I would be
comfortable saying that the currency crisis caused the conditional variance
to increase by 1.96 and that an increase in government approval by
one-percent decreases the conditional variance by 1.22%.  I would then
proceed to calculate the influence of the interaction by looking at
different levels of approval.

In the GARCH context, I am not sure (i) how to interpret especially since
the effect is non-linear (I think) and (ii) if and how the arch and garch
terms fit into the overall interpretation.

Can anyone offer suggestions about either interpretation or references to
the relevant literature that discusses these issues.

Many thanks,

David Leblang
University of Colorado