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arXiv · 2607.22254

Sentiment-Driven Stochastic Volatility: An Observable Second Factor from Market Attention

Sergey Patsuk·Derek Horstmeyer
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Abstract

We introduce a two-factor stochastic volatility model in which the mean-reversion speed of a Cox--Ingersoll--Ross variance process is an observable functional of a market attention field rather than a latent factor. The field admits an exact Feynman--Kac representation and generates closed-form volatility forecasts. The model nests the Heston volatility model, provides measurement-stable dynamics under observable data aggregation, and preserves its structure under an equivalent martingale measure. A mean-field analysis establishes convergence of the underlying particle system, while simulations demonstrate volatility and option-pricing differences following attention shocks.

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Sergey Patsuk, Derek Horstmeyer. 2026-07-24. Sentiment-Driven Stochastic Volatility: An Observable Second Factor from Market Attention. https://arxiv.org/abs/2607.22254

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