Dissecting Two Approaches to Energy Prices
Julius N. Esunge & Andrew Snyder-Beattie
Journal of Mathematics and Statistics, Volume 7, Issue 2, pp. 98–102 · doi.org/10.3844/jmssp.2011.98.102
Abstract
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.
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Esunge, J. N. & Snyder-Beattie, A. (2011). Dissecting Two Approaches to Energy Prices. Journal of Mathematics and Statistics, 7(2), 98–102. https://doi.org/10.3844/jmssp.2011.98.102
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