基于跳跃风险的中国碳市场波动率预测研究
A Study on Volatility Prediction of China’s Carbon Market with Jump Risk Considered
DOI: 10.12677/pm.2025.159237, PDF,   
作者: 王佳琪, 陈慕伦, 胡 滨, 廖 昕:上海理工大学管理学院,上海;郑传晓:上海理工大学光电学院,上海
关键词: 碳市场波动率预测跳跃风险ARJI-GARCH模型机器学习Carbon Market Volatility Forecasting Jump Risk ARJI-GARCH Model Machine Learning
摘要: 全球气候变化背景下,碳市场成为调控温室气体排放的核心机制。中国碳排放权交易体系(CCETS)自2021年启动以来,其价格受政策冲击、极端事件的影响出现跳跃波动,但现有研究普遍忽视这一关键因素。本研究基于2021~2024年中国碳市场日度交易数据,构建自回归条件跳跃强度(ARJI)模型与机器学习算法融合的预测框架,探究跳跃风险对碳市场波动率预测的影响。研究发现,ARJI-GARCH与 ARJI-GARCH-ht模型均能有效捕捉跳跃风险,其中ARJI-GARCH-ht模型通过引入时变跳跃幅度方差与非对称参数,显著提升了对突发波动的拟合能力。将两类模型测算的跳跃强度引入偏最小二乘(PLS)、径向基神经网络(RBFNN)等机器学习模型后,中国碳市场波动率预测精度显著提升,其中PLS-ARJI-GARCH-ht模型表现更优。本研究为政策制定者优化碳配额分配、交易员设计抗风险策略提供了理论依据,也为新兴碳市场的波动率预测提供了方法借鉴。
Abstract: Against the backdrop of global climate change, carbon markets have emerged as a core mechanism for regulating greenhouse gas emissions. Since its launch in 2021, the price of the China’s Carbon Emissions Trading System (CCETS) has been presenting jumping fluctuations which are triggered by factors such as policy shocks and extreme events. However, existing studies have generally overlooked this critical factor. Based on daily trading data from the national carbon market from 2021 to 2024, this study constructs a forecasting framework integrating the Autoregressive Conditional Jump Intensity (ARJI) model with machine learning algorithms to investigate the impact of jump risks on carbon market volatility prediction. The study finds that both the ARJI-GARCH and ARJI-GARCH-ht models effectively capture jump risks. Notably, the ARJI-GARCH-ht model significantly enhances the fitting capability for abrupt volatility by introducing time-varying jump amplitude variance and asymmetric parameters. When the jump intensities calculated by the two models are incorporated into machine learning models such as Partial Least Squares (PLS) and Radial Basis Function Neural Network (RBFNN), the forecasting accuracy of China’s carbon market volatility improves significantly. Within those models, the PLS-ARJI-GARCH-ht model represents the optimal performance. This study provides a theoretical basis for policymakers to optimize carbon quota allocation and for traders to design risk-resistant strategies. It also offers methodological insights for volatility forecasting in emerging carbon markets.
文章引用:王佳琪, 陈慕伦, 胡滨, 郑传晓, 廖昕. 基于跳跃风险的中国碳市场波动率预测研究[J]. 理论数学, 2025, 15(9): 96-106. https://doi.org/10.12677/pm.2025.159237

参考文献

[1] Wang, Z., Wei, Y. and Wang, S. (2025) Forecasting the Carbon Price of China’s National Carbon Market: A Novel Dynamic Interval-Valued Framework. Energy Economics, 141, Article 108107. [Google Scholar] [CrossRef
[2] Segnon, M., Lux, T. and Gupta, R. (2017) Modeling and Forecasting the Volatility of Carbon Dioxide Emission Allowance Prices: A Review and Comparison of Modern Volatility Models. Renewable and Sustainable Energy Reviews, 69, 692-704. [Google Scholar] [CrossRef
[3] 苏蕾, 梁轶男. 欧盟碳期货交易价格波动风险对我国的启示[J]. 价格月刊, 2016(12): 1-7.
[4] 刘红琴, 胡淑慧. 不同情境下中国碳排放权交易市场的风险度量[J]. 中国环境科学, 2022, 42(2): 962-970.
[5] 赵久伟, 肖庆宪. A股市场系统跳跃风险研究[J]. 上海理工大学学报, 2012, 34(4): 381-388.
[6] Zhang, C. and Tu, X. (2016) The Effect of Global Oil Price Shocks on China’s Metal Markets. Energy Policy, 90, 131-139. [Google Scholar] [CrossRef
[7] 王周伟, 张政. 基于ARJI-GARCH模型的中国上市银行跳跃风险传染网络研究[J]. 上海商学院学报, 2021, 22(6): 69-86.
[8] 胡根华, 吴恒煜. 资产价格的时变跳跃: 碳排放交易市场的证据[J]. 中国人口·资源与环境, 2015, 25(11): 12-17.
[9] Dutta, A. (2018) Modeling and Forecasting the Volatility of Carbon Emission Market: The Role of Outliers, Time-Varying Jumps and Oil Price Risk. Journal of Cleaner Production, 172, 2773-2781. [Google Scholar] [CrossRef
[10] Taghavi, J. and Gharabaghi, M. (2025) Prediction of Ball Mill Power in Iron Ore Concentration Plants: A Comparison between Radial Basis Functions and Linear Regression. Results in Engineering, 26, Article 105114. [Google Scholar] [CrossRef
[11] 苏珊娜. 基于径向基神经网络的宏观经济预测实证分析——以陕西省为例[J]. 时代金融, 2017(5): 71-72.
[12] Byun, S.J. and Cho, H. (2013) Forecasting Carbon Futures Volatility Using GARCH Models with Energy Volatilities. Energy Economics, 40, 207-221. [Google Scholar] [CrossRef
[13] 周新媛, 徐东, 张庆辰, 等. 中国碳排放权交易市场2024年发展分析与展望[J]. 国际石油经济, 2025, 33(1): 52-61.
[14] Chan, W.H. and Maheu, J.M. (2002) Conditional Jump Dynamics in Stock Market Returns. Journal of Business & Economic Statistics, 20, 377-389. [Google Scholar] [CrossRef
[15] Abdi, H. (2010) Partial Least Squares Regression and Projection on Latent Structure Regression (PLS Regression). WIREs Computational Statistics, 2, 97-106. [Google Scholar] [CrossRef
[16] dos Santos Coelho, L. and Santos, A.A.P. (2011) A RBF Neural Network Model with GARCH Errors: Application to Electricity Price Forecasting. Electric Power Systems Research, 81, 74-83. [Google Scholar] [CrossRef