基于变压器模型的期权定价问题研究

Tingyu Guo, Boping Tian
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引用次数: 0

摘要

期权定价是定量金融领域的一个重要课题。传统的Black-Scholes模型公式需要大量的假设,而这些假设在实际中往往不存在,基于统计的回归分析和时间序列方法对非平稳数据的拟合能力较差。深度学习在识别数据的结构和模式方面优于传统的计量经济模型,并且可以有效地学习时间序列的非线性和非平稳特征,更适合期权定价问题的研究。Transformer模型在处理时间序列数据方面比传统的递归神经网络模型具有更大的优势,主要体现在性能和速度方面。在这项工作中,我们将比较不同的模型,得到预测能力最强的深度学习模型。通过对中国市场50只ETF期权和股票的数据进行实证分析,证明了Transformer模型在时间序列预测方面优于传统深度学习模型。
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The Study of Option Pricing Problems based on Transformer Model
Option pricing is an important topic in the field of quantitative finance. The traditional Black-Scholes model formulation requires a large number of assumptions, which often does not exist in practice, and the statistically-based regression analysis and time series methods have poor fitting ability for non-stationary data. Deep learning has advantages over traditional econometric models in identifying the structure and patterns of data, and can effectively learn the nonlinear and non-stationary characteristics of time series, which is more suitable for the study of option pricing problems. The Transformer model has greater advantages over the traditional recurrent neural network model in the processing of time series data, mainly in terms of performance and speed. In this work, we will compare different models and get the deep learning model with the strongest prediction ability. Based on the collected data related to 50 ETF options and stocks in the Chinese market for empirical analysis, it is demonstrated that the Transformer model outperforms the traditional deep learning model in time series prediction.
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