从量子力学到金融:扩散价格过程中的跳跃、尖峰和高波动性阶段的微观基础
From quantum mechanics to finance: Microfoundations for jumps, spikes and high volatility phases in diffusion price processes
AI总结:
本文提出一个基于代理人行为的微观模型,诱导出价格过程中的跳跃、尖峰和高波动性阶段,通过将量子力学中热激活跳跃的动力学转移到代理人社会经济行为中,建立微观基础,并探讨在市场极限下动态收敛到伊藤扩散过程的条件。
摘要:
我们提出一个基于代理人行为的微观模型,该模型能够诱导出交易资产价格过程中的跳跃、尖峰和高波动性阶段。我们将量子力学中未激发/激发双态系统热激活跳跃的动力学转移到代理人社会经济行为中,从而提供微观基础。在我们将内生的代理人行为与价格动态联系起来后,我们确定在大市场极限下动态收敛到伊藤扩散价格过程的条件。
英文摘要:
We present an agent behavior based microscopic model that induces jumps, spikes and high volatility phases in the price process of a traded asset. We transfer dynamics of thermally activated jumps of an unexcited/ excited two state system discussed in the context of quantum mechanics to agent socio-economic behavior and provide microfoundations. After we link the endogenous agent behavior to price dynamics we establish the circumstances under which the dynamics converge to an Itô-diffusion price processes in the large market limit.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。