用自编码器融合多种波动率指标,提升股市波动预测精度。
Financial Volatility and Risk Forecasting Incorporating a Larger Number of Realized Measures
- 用自编码器非线性融合多类已实现波动率指标,生成合成指标。
- 在4个主要股市2000至2022年数据上,滚动预测表现优于传统线性方法。
- 模型参数灵活性更强,适合需高适应性的金融风险预警场景。
已实现波动率因其能捕捉日内价格波动而日益重要。随着各类已实现波动率估计量增多,其优劣各异,选择最优估计量带来挑战。本文提出扩展的已实现GARCH模型,引入自编码器生成的合成已实现指标,以非线性方式融合多个指标信息。该模型突破传统线性降维方法(如主成分分析、独立成分分析)的局限,有效降低已实现指标维度。实证评估覆盖2000年1月至2022年6月的四个主要股市,包含新冠疫情期间的数据,验证了自编码器合成波动率指标的可行性,并显示所提模型在一步滚动预测中表现更优。模型在各滚动窗口内具备更强参数适应性,表明非线性降维可进一步提升合成已实现指标的灵活性与适用性,对未来的波动率预测具有重要意义。
原文摘要 · Abstract (English)
Realised volatility has become increasingly prominent in volatility forecasting due to its ability to capture intraday price fluctuations. With a growing variety of realised volatility estimators, each with unique advantages and limitations, selecting an optimal estimator may introduce challenges. In this thesis, aiming to synthesise the impact of various realised volatility measures on volatility forecasting, we propose an extension of the Realised GARCH model that incorporates an autoencoder-generated synthetic realised measure, combining the information from multiple realised measures in a nonlinear manner. Our proposed model extends existing linear methods, such as Principal Component Analysis and Independent Component Analysis, to reduce the dimensionality of realised measures. The empirical evaluation, conducted across four major stock markets from January 2000 to June 2022 and including the period of COVID-19, demonstrates both the feasibility of applying an autoencoder to synthesise volatility measures and the superior effectiveness of the proposed model in one-step-ahead rolling volatility forecasting. The model exhibits enhanced flexibility in parameter estimations across each rolling window, outperforming traditional linear approaches. These findings indicate that nonlinear dimension reduction offers further adaptability and flexibility in improving the synthetic realised measure, with promising implications for future volatility forecasting applications.
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