Crude oil markets are highly volatile and risky. Extreme value theory (EVT), an approach to modelling and measuring risks under rare events, has seen a more prominent role in risk management in recent years. This paper presents an application of EVT to the daily returns of crude oil prices in the Canadian spot market between 1998 and 2006. We focus on the peak over threshold method by analyzing the generalized Pareto-distributed exceedances over some high threshold. This method provides an effective means for estimating tail risk measures such as Value-at-Risk and Expected Shortfall. The estimates of risk measures computed under different high quantile levels exhibit strong stability across a range of the selected thresholds. At the 99th quantile, the estimates of VaR are approximately 6.3% and 6.8% for daily positive and negative returns, respectively.
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Paper provided by Department of Economics, University of Victoria in its series Econometrics Working Papers with number
0708.
Length: 24 pages Date of creation: 09 Oct 2007 Date of revision: Handle: RePEc:vic:vicewp:0708
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Find related papers by JEL classification: C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Capital and Ownership Structure Q40 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - General
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