期权定价的混合人工神经网络模型

IF 0.3 Q4 MATHEMATICS
H. Simiyu, A. Waititu, Jane Aduda Akinyi
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引用次数: 0

摘要

在缺乏与纯人工神经网络模型相关的定义良好的输入选择技术的情况下,在放松恒定波动假设的同时使用纯人工神经网络模型进行期权定价仍然是一个挑战。保守的做法是考虑到大量的输入滞后,并相信人工神经网络整合灵活性和冗余的能力会产生一个更稳健的模型。这就是说,尽管不存在输入选择标准,但模型的开发没有适当考虑输入选择技术的选择对模型复杂性、学习难度和性能测量的影响。在本研究中,我们偏离了纯人工神经网络期权价格模型所采用的传统技术,采用混合模型,其中波动性成分使用一些著名的时间序列模型来处理,具体的?城市到ANN- gjr - garch模型-人工神经网络和时间序列的混合。然后用ANN- gjr - garch模型的预测值作为波动率输入,以及其他两个输入-到期时间和货币度,对混合神经网络期权定价模型进行了框架和测试。最后,我们将混合模型与纯人工神经网络模型的性能进行了比较。结果表明,混合模型不仅在预测方面优于纯人工神经网络模型,而且在训练时间和模型复杂度方面也优于纯人工神经网络模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Hybrid Artificial Neural Network Model for Option Pricing
In the absence of a well-defined input selection technique associated with the pure ANN models, Option pricing using pure ANN models while relaxing the assumption of constant volatility remains a challenge. The conservative drill espoused has been to make allowances for a large number of input lags with the confidence that the ability of ANN to integrate suppleness and redundancy generates a more robust model. This is to say that the nonexistence of input selection criteria notwithstanding, the models have been developed without due consideration to the effect that the choice of input selection technique would have on model complexity, learning difficulty and performance measures. In this study, we deviate from the conventional techniques applied by the pure ANN option price models and adopt the hybrid model in which the volatility component is handled using some celebrated time series models, with speci?city to the ANN-GJR-GARCH model - a hybrid of the ANN and a time series hybrid. The hybrid ANN option pricing model is then framed and tested with the forecasts of the ANN-GJR-GARCH model as a volatility input alongside two other inputs - time to maturity and moneyness. Finally, we compare the performance of the hybrid model developed with that of a pure ANN model. Results indicate that the hybrid model outperforms the pure ANN model not only in forecasting but also in the training time and model complexity.
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来源期刊
CiteScore
0.70
自引率
33.30%
发文量
0
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