Leverage effects and stochastic volatility in spot oil returns: A Bayesian approach with VaR and CVaR applications

Abstract

Crude oil markets have been quite volatile and risky in the past few decades due to the large fluctuations of oil prices. We contribute to the current debate by testing for the existence of the leverage effect when considering daily spot returns in the WTI and Brent crude oil markets and by studying the direct impact of the leverage effect on measures of risk such as VaR and CVaR. More specifically, we model spot crude oil returns using Stochastic Volatility (SV) models with various distributions of the errors. We find that the introduction of the leverage effect in the traditional SV model with Normally distributed errors is capable of adequately estimating risk for speculative oil suppliers in both the WTI and Brent markets. Our results also show that financial regulators' model choice, both on the supply and on the demand side, would not be affected by the introduction of leverage. Focusing instead on firm's internal risk management, our results show that the introduction of leverage would be useful for firms who are on the demand side for oil, who use VaR for risk management and who are particularly worried about the magnitude of the losses exceeding VaR while wanting to minimize the opportunity cost of capital. Using the same logic, firms who are on the supply side would be better off not considering the leverage effect.