基于前景理论框架和Heston模型的行为期权定价

孙有发; 彭文彦

doi:10.12052/gdutxb.220185

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基于前景理论框架和Heston模型的行为期权定价

综合研究 | 更新时间：2026-05-27

- 基于前景理论框架和Heston模型的行为期权定价
- Behavioral Option Pricing under Prospect Theory Framework and Heston Model
- 广东工业大学学报 2024年41卷第1期页码：127-134
- 作者机构：
  
  广东工业大学经济学院,广东,广州,510520
- 作者简介：
  
  孙有发(1976–)，男，教授，博士,主要研究方向为计算金融、计算实验金融、金融风险管理，E-mail：y.f.sun@gdut.edu.cn
  彭文彦(1998–)，男，硕士研究生，主要研究方向为计算金融，E-mail：pwy13100614752@126.com
- 基金信息：
  
  国家自然科学基金资助项目(72271064, 71771058);广东省自然科学基金资助项目(2022A1515011125, 2017A030313400)
- DOI：10.12052/gdutxb.220185
  中图分类号： F830.9
- 网络首发：2024-01-25，
  
  纸质出版：2024
- 稿件说明：
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孙有发, 彭文彦. 基于前景理论框架和Heston模型的行为期权定价[J]. 广东工业大学学报, 2024, 41(1): 127-134.

Sun You-fa, Peng Wen-yan. Behavioral Option Pricing under Prospect Theory Framework and Heston Model[J]. 2024, 41(1): 127-134.
孙有发, 彭文彦. 基于前景理论框架和Heston模型的行为期权定价[J]. 广东工业大学学报, 2024, 41(1): 127-134. DOI： 10.12052/gdutxb.220185.

Sun You-fa, Peng Wen-yan. Behavioral Option Pricing under Prospect Theory Framework and Heston Model[J]. 2024, 41(1): 127-134. DOI： 10.12052/gdutxb.220185.

摘要

行为期权定价是当前国际金融领域的热门研究主题之一。虽然随机波动率模型已成为国际衍生品定价领域的标准模型，但该模型对短到期期权(尤其是虚值期权)的定价仍不准确，其原因之一是传统的期权定价方法忽略了现实市场中的非理性心理和行为因素。针对上述问题，本文运用前景理论期权定价框架，引入价值函数来刻画投资者面对收益与损失的前景价值判断，引入决策权重函数来修正Heston随机波动率模型刻画的资产价格路径的概率密度函数，将期权合约签订与交割的现金流视为分散的心理账户情形，在市场均衡条件下推导出Heston模型下欧氏行为期权的定价公式。上证50ETF期权的实证结果表明：考虑了前景理论的Heston随机波动率模型，能显著地提升短到期虚值期权的定价准确度；参数校正结果发现，定价性能的提升要归因于Heston模型中纳入的表征非理性心理与情绪的行为参数；相对而言，投资者对实值期权的风险态度偏中性，因此行为参数对其定价精度的提升有限。

Abstract

Behavioral option pricing has been one of the hottest frontiers in the area of international finance. Stochastic volatility model has become the de facto standard model of international derivatives pricing

but it is not accurate enough in the pricing of short-term options

especially for OTM. One of the reasons is that the traditional option pricing methods ignore the irrational psychological and behavioral factors in the real market. To solve this problem

prospect theory is brought into the traditional option pricing framework

the different value judgments of investors facing gains and losses are described by introducing the subjective value function

the subjective decision weight function is used to modify the probability density function of the asset price path described by Heston model

and then the cash flow in the two periods of signing and executing European option contracts is regarded as two separate mental accounts. Prices of European options under Heston model are derived under the condition of market equilibrium. The empirical results of SSE 50ETF option show that the Heston stochastic volatility model considering the prospect theory can significantly improve the pricing accuracy of short maturity OTM option. The model parameter correction results show that the improvement of pricing performance is due to the behavioral parameters representing irrational psychology and emotion included in Heston model. Relatively speaking

investors' risk attitude towards ITM options is nearly neutral

so the improvement of behavior parameters on its pricing accuracy is limited.

关键词

Keywords

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