Journal of Mathematics and Statistics

Dissecting Two Approaches to Energy Prices

Julius N. Esunge and Andrew Snyder-Beattie

DOI : 10.3844/jmssp.2011.98.102

Journal of Mathematics and Statistics

Volume 7, Issue 2

Pages 98-102


Problem statement: This research tested the viability of Geometric Brownian Motion as a stochastic model of oil prices. Approach: Using autoregressions and unit root tests, we determined that oil prices tend not to exhibit the Markov Property and thus GBM may be a problematic model. Results: Instead, oil prices seem to be mean reverting over the long run, possibly following an Ornstein-Uhlenbeck process. Conclusion/Recommendations: To determine whether or not OPEC was the cause of mean reversion, we repeated the tests after controlling for quotas, only to find the same results did not apply over the short run.


© 2011 Julius N. Esunge and Andrew Snyder-Beattie. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.