基于量子场论的股票挂钩型结构性产品的定价研究

冯玲,崔静,邓梦丹

系统科学与数学 ›› 2020, Vol. 40 ›› Issue (5) : 827-843.

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PDF(839 KB)
系统科学与数学 ›› 2020, Vol. 40 ›› Issue (5) : 827-843. DOI: 10.12341/jssms13894
论文

基于量子场论的股票挂钩型结构性产品的定价研究

    冯玲,崔静,邓梦丹
作者信息 +

Pricing of Stock Linked Structured Products Based on Quantum Field Theory

    FENG Ling, CUI Jing, DENG Mengdan
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摘要

文章借助量子金融的方法, 运用远期利率的量子场论模型求出贴现因子, 从而构建了量子场论下的股票挂钩型结构性产品的定价模型, 并选择样本产品进行实证研究. 研究发现, 远期利率的量子场论模型考虑了远期利率在日历时间和到期时间两个维度上的相关性, 对市场数据的拟合优度远高于传统的~HJM 模型; 基于量子场论的股票挂钩型结构性产品的定价模型可用于计算理财产品的理论价值, 从而为产品发行方及投资者的决策提供依据.

Abstract

In this paper, by means of quantum finance, the discount factor is obtained by using the quantum field theory model of forward interest rate, and then the pricing model of stock linked structured products under the quantum field theory is constructed. Furthermore, we select sample product to make empirical study. It is found that the quantum field theory model of the forward interest rate takes into account the correlation between the forward interest rate with different maturities, and its fitting accuracy of market data is much higher than the traditional HJM model. The pricing model of stock linked structured products under the quantum field theory can be used to calculate the theoretical value of stock-linked structured products, so as to provide the method of value judgment for the issuer of the products and the investors.

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冯玲 , 崔静 , 邓梦丹. 基于量子场论的股票挂钩型结构性产品的定价研究. 系统科学与数学, 2020, 40(5): 827-843. https://doi.org/10.12341/jssms13894
FENG Ling , CUI Jing , DENG Mengdan. Pricing of Stock Linked Structured Products Based on Quantum Field Theory. Journal of Systems Science and Mathematical Sciences, 2020, 40(5): 827-843 https://doi.org/10.12341/jssms13894
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