Option Pricing Using LSTM: A Perspective of Realized Skewness

Deep learning has drawn great attention in the financial field due to its powerful ability in nonlinear fitting, especially in the studies of asset pricing. In this paper, we proposed a long short-term memory option pricing model with realized skewness by fully considering the asymmetry of asset ret...

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Main Authors: Yan Liu, Xiong Zhang
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/2/314
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author Yan Liu
Xiong Zhang
author_facet Yan Liu
Xiong Zhang
author_sort Yan Liu
collection DOAJ
description Deep learning has drawn great attention in the financial field due to its powerful ability in nonlinear fitting, especially in the studies of asset pricing. In this paper, we proposed a long short-term memory option pricing model with realized skewness by fully considering the asymmetry of asset return in emerging markets. It was applied to price the ETF50 options of China. In order to emphasize the improvement of this model, a comparison with a parametric method, such as Black-Scholes (BS), and machine learning methods, such as support vector machine (SVM), random forests and recurrent neural network (RNN), was conducted. Moreover, we also took the characteristic of heavy tail into consideration and studied the effect of realized kurtosis on pricing to prove the robustness of the skewness. The empirical results indicate that realized skewness significantly improves the pricing performance of LSTM among moneyness states except for in-the-money call options. Specifically, the LSTM model with realized skewness outperforms the classical method and other machine learning methods in all metrics.
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spelling doaj.art-3aa2910e5c6c4a3682e2f0e4559e08632023-11-30T23:20:29ZengMDPI AGMathematics2227-73902023-01-0111231410.3390/math11020314Option Pricing Using LSTM: A Perspective of Realized SkewnessYan Liu0Xiong Zhang1School of Economics, Ocean University of China, Qingdao 266100, ChinaSchool of Economics, Ocean University of China, Qingdao 266100, ChinaDeep learning has drawn great attention in the financial field due to its powerful ability in nonlinear fitting, especially in the studies of asset pricing. In this paper, we proposed a long short-term memory option pricing model with realized skewness by fully considering the asymmetry of asset return in emerging markets. It was applied to price the ETF50 options of China. In order to emphasize the improvement of this model, a comparison with a parametric method, such as Black-Scholes (BS), and machine learning methods, such as support vector machine (SVM), random forests and recurrent neural network (RNN), was conducted. Moreover, we also took the characteristic of heavy tail into consideration and studied the effect of realized kurtosis on pricing to prove the robustness of the skewness. The empirical results indicate that realized skewness significantly improves the pricing performance of LSTM among moneyness states except for in-the-money call options. Specifically, the LSTM model with realized skewness outperforms the classical method and other machine learning methods in all metrics.https://www.mdpi.com/2227-7390/11/2/314deep learningOption pricingLSTMrealized skewness
spellingShingle Yan Liu
Xiong Zhang
Option Pricing Using LSTM: A Perspective of Realized Skewness
Mathematics
deep learning
Option pricing
LSTM
realized skewness
title Option Pricing Using LSTM: A Perspective of Realized Skewness
title_full Option Pricing Using LSTM: A Perspective of Realized Skewness
title_fullStr Option Pricing Using LSTM: A Perspective of Realized Skewness
title_full_unstemmed Option Pricing Using LSTM: A Perspective of Realized Skewness
title_short Option Pricing Using LSTM: A Perspective of Realized Skewness
title_sort option pricing using lstm a perspective of realized skewness
topic deep learning
Option pricing
LSTM
realized skewness
url https://www.mdpi.com/2227-7390/11/2/314
work_keys_str_mv AT yanliu optionpricingusinglstmaperspectiveofrealizedskewness
AT xiongzhang optionpricingusinglstmaperspectiveofrealizedskewness