基于人工神经网络的深度标定:期权定价模型的性能比较

Young Shin Kim, Hyangju Kim, Jaehyung Choi
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引用次数: 0

摘要

本文探讨了人工神经网络(ANN)作为期权定价模型标定算法的无模型解决方案。作者构建了人工神经网络来校准两种著名的GARCH型期权定价模型的参数:Duan的GARCH和经典的调和稳定GARCH模型,它们显著改善了Black-Scholes模型的局限性,但存在计算复杂性的问题。为了减轻这一技术困难,作者使用蒙特卡罗模拟(MCS)方法生成的数据集训练人工神经网络,并将其应用于校准最优参数。性能结果表明,人工神经网络方法始终优于MCS,并且在训练后具有更快的计算时间。还讨论了希腊人的选择。
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Deep Calibration with Artificial Neural Network: A Performance Comparison on Option-Pricing Models
This article explores artificial neural network (ANN) as a model-free solution for a calibration algorithm of option-pricing models. The authors construct ANNs to calibrate parameters for two well-known GARCH-type option-pricing models: Duan’s GARCH and the classical tempered stable GARCH models that significantly improve upon the limitation of the Black–Scholes model but have suffered from computation complexity. To mitigate this technical difficulty, the authors train ANNs with a dataset generated by the Monte Carlo simulation (MCS) method and apply them to calibrate optimal parameters. The performance results indicate that the ANN approach consistently outperforms MCS and takes advantage of faster computation times once trained. The Greeks of options are also discussed.
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