Analysis of Option Butterfly Portfolio Models Based on Nonparametric Estimation Deep Learning Method

The option butterfly portfolio is the commonly option arbitrage strategy. In reality, because the distribution of the option state price density (SPD) function is not normal and unknown, so the nonparametric deep learning methods to estimate option butterfly portfolio returns are proposed. This pape...

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Main Authors: Xiangyu Ge, Xia Zhu, Gang Bi, Hao Zheng, Qing Li
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2023/4989036
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author Xiangyu Ge
Xia Zhu
Gang Bi
Hao Zheng
Qing Li
author_facet Xiangyu Ge
Xia Zhu
Gang Bi
Hao Zheng
Qing Li
author_sort Xiangyu Ge
collection DOAJ
description The option butterfly portfolio is the commonly option arbitrage strategy. In reality, because the distribution of the option state price density (SPD) function is not normal and unknown, so the nonparametric deep learning methods to estimate option butterfly portfolio returns are proposed. This paper constructs the single-index nonparametric option pricing model which contains multiple influencing factors and presents the nonparametric estimation form for option butterfly portfolio returns. The empirical analysis shows that the SPD function estimated by using single-index nonparametric option model can effectively calculate the option butterfly portfolio returns with the minimum option strike price interval and provide an effective reference tool for risk-averse investors with limited risk preferences.
format Article
id doaj-art-4b2bb87f4b9a484f9674ceffc59404a2
institution Kabale University
issn 2314-8888
language English
publishDate 2023-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-4b2bb87f4b9a484f9674ceffc59404a22025-02-03T06:47:40ZengWileyJournal of Function Spaces2314-88882023-01-01202310.1155/2023/4989036Analysis of Option Butterfly Portfolio Models Based on Nonparametric Estimation Deep Learning MethodXiangyu Ge0Xia Zhu1Gang Bi2Hao Zheng3Qing Li4Department of FinanceSchool of Statistics and MathematicsSchool of Statistics and MathematicsSchool of ManagementSchool of Statistics and MathematicsThe option butterfly portfolio is the commonly option arbitrage strategy. In reality, because the distribution of the option state price density (SPD) function is not normal and unknown, so the nonparametric deep learning methods to estimate option butterfly portfolio returns are proposed. This paper constructs the single-index nonparametric option pricing model which contains multiple influencing factors and presents the nonparametric estimation form for option butterfly portfolio returns. The empirical analysis shows that the SPD function estimated by using single-index nonparametric option model can effectively calculate the option butterfly portfolio returns with the minimum option strike price interval and provide an effective reference tool for risk-averse investors with limited risk preferences.http://dx.doi.org/10.1155/2023/4989036
spellingShingle Xiangyu Ge
Xia Zhu
Gang Bi
Hao Zheng
Qing Li
Analysis of Option Butterfly Portfolio Models Based on Nonparametric Estimation Deep Learning Method
Journal of Function Spaces
title Analysis of Option Butterfly Portfolio Models Based on Nonparametric Estimation Deep Learning Method
title_full Analysis of Option Butterfly Portfolio Models Based on Nonparametric Estimation Deep Learning Method
title_fullStr Analysis of Option Butterfly Portfolio Models Based on Nonparametric Estimation Deep Learning Method
title_full_unstemmed Analysis of Option Butterfly Portfolio Models Based on Nonparametric Estimation Deep Learning Method
title_short Analysis of Option Butterfly Portfolio Models Based on Nonparametric Estimation Deep Learning Method
title_sort analysis of option butterfly portfolio models based on nonparametric estimation deep learning method
url http://dx.doi.org/10.1155/2023/4989036
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AT xiazhu analysisofoptionbutterflyportfoliomodelsbasedonnonparametricestimationdeeplearningmethod
AT gangbi analysisofoptionbutterflyportfoliomodelsbasedonnonparametricestimationdeeplearningmethod
AT haozheng analysisofoptionbutterflyportfoliomodelsbasedonnonparametricestimationdeeplearningmethod
AT qingli analysisofoptionbutterflyportfoliomodelsbasedonnonparametricestimationdeeplearningmethod