Performance of Value-at-Risk Averaging in the Nordic Power Futures Market

Jørgen Andersen Sveinsson, Stein Frydenberg, Sjur Westgaard, Maurits M. Aaløkken
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Abstract

We investigate the performance of various value-at-risk (VaR) models in the context of the highly volatile Nordic power futures market, examining whether simple averages of models provide better results than the individual models themselves. The individual models used are normally distributed GARCH, t-distributed GARCH, t-distributed GJR–GARCH, a quantile regression using RiskMetrics, a quantile regression using t-distributed GARCH, RiskMetrics with Cornish–Fisher and a filtered historical simulation using t-distributed GARCH. We find that RiskMetrics with Cornish–Fisher and normally distributed GARCH perform worse than the other individual models. The average models generally outperform the individual models at a 5% significance level. The conditional independence test reveals that the models are only partially capable of accounting for the volatility clustering of the Nordic power futures. Investors in the Nordic electricity markets should therefore use several methods and average them to be more confident in their VaR estimates.
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北欧电力期货市场风险价值平均的表现
我们在高度波动的北欧电力期货市场背景下研究了各种风险价值(VaR)模型的表现,检验了模型的简单平均是否比单个模型本身提供更好的结果。使用的单个模型是正态分布GARCH、t分布GARCH、t分布GJR-GARCH、使用RiskMetrics的分位数回归、使用t分布GARCH的分位数回归、使用Cornish-Fisher的RiskMetrics和使用t分布GARCH的过滤历史模拟。我们发现具有Cornish-Fisher和正态分布GARCH的RiskMetrics比其他单个模型表现更差。平均模型通常在5%的显著性水平上优于单个模型。条件独立性检验表明,该模型仅能部分解释北欧电力期货的波动聚类。因此,北欧电力市场的投资者应该使用几种方法并对其进行平均,以对其VaR估计更有信心。
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