Extreme Value Theory and Value at Risk: Application to OPEC Market

Abstract

Regarding the role of the energy market, especially oil, on the economy of countries, it is important to identify the future evolution of the market. In this respect, predicting the changeable extreme evolution of the oil price is crucial for decision and policy makers. This study attempts to investigate the maximum changes of OPEC’s oil price by employing the concept of Value at Risk. To this end, GARCH family models based on the normal and extreme distribution were used, and it is expected that the focus on the latter in forecasting Value at Risk, especially in the face of extreme events, may end up in more realistic results. The results of the backtesting of models show that the ARMA-GARCH-EVT model predicts better than the other ones.

Keywords

• extreme value theory
• value at risk
• oil price
• garch