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arXiv 0910.0236q-fin.STmath.PRq-fin.GN
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天然气和电力现货价格的联合建模

Joint Modelling of Gas and Electricity spot prices

Noufel Frikha, Vincent Lemaire

摘要:

最近电力和天然气市场的自由化导致了能源交换和建模问题的增加。在本文中,我们共同建模天然气和电力现货价格使用均值回复模型,适合这两种商品的相关性结构。动力学是基于参数化扩散系数的Ornstein过程。此外,使用的经验分布的现货价格,我们推导出一类这样的参数化扩散捕捉最突出的统计特性:平稳性,尖峰和重尾分布。相关的校准程序基于标准和有效的统计工具。我们校准的模型在法国市场的电力和英国市场的天然气,然后模拟一些轨迹再现以及观察到的价格行为。最后,我们说明了相关性结构的重要性,并通过测量发电厂投资组合的风险尖峰的存在。

英文摘要:

The recent liberalization of the electricity and gas markets has resulted in the growth of energy exchanges and modelling problems. In this paper, we modelize jointly gas and electricity spot prices using a mean-reverting model which fits the correlations structures for the two commodities. The dynamics are based on Ornstein processes with parameterized diffusion coefficients. Moreover, using the empirical distributions of the spot prices, we derive a class of such parameterized diffusions which captures the most salient statistical properties: stationarity, spikes and heavy-tailed distributions. The associated calibration procedure is based on standard and efficient statistical tools. We calibrate the model on French market for electricity and on UK market for gas, and then simulate some trajectories which reproduce well the observed prices behavior. Finally, we illustrate the importance of the correlation structure and of the presence of spikes by measuring the risk on a power plant portfolio.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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