garch1


What is a GARCH(1) model?

  • GARCH(1,1) model. The (1,1) in parentheses is a standard notation in which the first number refers to how many autoregressive lags or ARCH terms terms. Sometimes models with more than one lag are needed to find good

What is the persistence of a GARCH(1) model with parameters?

  • the persistence of a GARCH(1,1) model with parameters!; ; . As we have seen earlier, the persistence of the model limits the kurtosis the process can take.Since the estimated best-t GARCH process to a time series often has persistence close to 1, thisseverely limits the value ofto ensure the existence of the fourth moment.

What is the difference between GARCH(1, 1) and IGARCH(1,1)?

  • GARCH(1, 1) model is covariance stationary, strictly stationary, and ergodic, in the IGARCH(1, 1) model it is not covariance stationary, but is still strictly stationary and ergodic, distinguishing it from the random walk with drift case. Hong (1987) provides intuition that some of the maximum likelihood estimators

What is a useful generalization of GARCH model?

  • useful generalization of this model is the GARCH parameterization introduced by Bollerslev(1986). This model is also a weighted average of past zero. It gives parsimonious models which are easy to estimate and even in its variances. The most widely used GARCH specification, asserts that the best
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