Some Forecast Asymmetric GARCH Models for Distributions with Heavy Tails

  • J. N. Onyeka-Ubaka Department of Mathematics, University of Lagos, Nigeria.
  • U. J. Anene Department of Mathematics, University of Lagos, Nigeria.
Keywords: Stylized facts, Asymmetric GARCH, Oil price volatility, Volatility estimate, Error distribution


Crude oil prices are inuenced by a number of factors that are far beyond the traditional
supply and demand dynamics such as West Texas Intermediate (WTI), Brent and Dubai. The
high frequency crude oil data exhibit non-constant variance. This paper models and forecasts
the exhibited uctuations via asymmetric GARCH models with the three commonly used error
distributions: Student's
distribution, normal distribution and generalized error distribution
(GED). The Maximum Likelihood Estimation (MLE) approach is used in the estimation of
the asymmetric GARCH family models. The analysis shows that volatility estimates given by
the exponential generalized autoregressive conditional heteroskedasticity (EGARCH) model
exhibit generally lower forecast errors in returns of WTI oil spot price while the asymmetric
power autoregressive conditional heteroskedasticity (APARCH) model exhibits lower forecast
errors in returns of Brent oil spot price, therefore they are more accurate than the estimates
given by the other asymmetric GARCH models in each returns.
The results obtained from
the volatility forecasts seem to be useful to oil future traders and policy makers who need
to perceive apriori the eects of news on return volatilities before executing their trading,
investments and political strategies for the economic wellbeing of the country.


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How to Cite
Onyeka-Ubaka, J. N., & Anene, U. J. (2020). Some Forecast Asymmetric GARCH Models for Distributions with Heavy Tails. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2020(1), 689 - 706. Retrieved from