Option Pricing beyond Black-Scholes Model:Quantum Mechanics Approach

• 作者: Pengpeng Li Shidong Liang
• 来源期刊: 经济科学研究(英文)
• 学科: 数学
• 关键词: Black-Scholes model Quantum harmonic oscillator Quantum finance
• 年，卷（期）: 2020,（4）
• 页码范围: 1-9
• 页数: 9页
• 分类号: O17

摘要

Based on the analog between the stochastic dynamics and quantum harmonic oscillator,we propose a market force driving model to generalize the Black-Scholes model in finance market.We give new schemes of option pricing,in which we can take various unexpected market behaviors into account to modify the option pricing.As examples,we present several market forces to analyze their effects on the option pricing.These results provide us two practical applications.One is to be used as a new scheme of option pricing when we can predict some hidden market forces or behaviors emerging.The other implies the existence of some risk premium when some unexpected forces emerge.