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I need to understand the difference between time varying copula (Patton, 2006) and dynamic copula.

  • For the time varying copula, is it when the parameters of copula follow ARMA($p$,$q$)?
  • Is that when the marginals are modeled by GARCH or ARMA, so the copula will be dynamic?

References

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    $\begingroup$ Could you give references for time-varying copula and dynamic copula? $\endgroup$ Commented Apr 2, 2016 at 15:43
  • $\begingroup$ MODELLING ASYMMETRIC EXCHANGE RATE DEPENDENCE Patton(2006) $\endgroup$
    – A.Laila
    Commented Apr 2, 2016 at 15:48
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    $\begingroup$ I cannot see dynamic copula mentioned in Patton (2006)... Do you have a reference for dynamic copula? $\endgroup$ Commented Apr 2, 2016 at 15:57
  • $\begingroup$ R.F. Engle, Dynamic conditional correlation: a simple class of multivariateGARCHmodels $\endgroup$
    – A.Laila
    Commented Apr 18, 2016 at 15:20

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Time-varying copula and dynamic copulas are the same. The parameters of time-varying Copula are not constant meaning that every parameter has a dynamic equation.

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  • $\begingroup$ Could you provide any reference to support your statement? $\endgroup$ Commented Apr 18, 2016 at 18:07
  • $\begingroup$ There are many .. take a look on this article papers.ssrn.com/sol3/papers.cfm?abstract_id=2556623 .. precisely, first note page 17 .. the authors use Manthos Vogiatzoglou's toolbox to calculate time-varying (dynamic) copulas $\endgroup$ Commented Apr 19, 2016 at 11:27
  • $\begingroup$ Is the reason why the ARMA-GARCH model is called time-varying, whereas ARIMA model is said to be based on constant copula only due to the former possessing a GARCH component? $\endgroup$
    – develarist
    Commented Jan 13, 2021 at 15:21

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