Beta-Dependent Gamma Feedback and Endogenous Volatility Amplification in Option Markets

Haoying Dai

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arXiv · 2511.22766

Beta-Dependent Gamma Feedback and Endogenous Volatility Amplification in Option Markets

Haoying Dai

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Abstract

We develop a theoretical framework that aims to link micro-level option hedging and stock-specific factor exposure with macro-level market turbulence and explain endogenous volatility amplification during gamma-squeeze events. By explicitly modeling market-maker delta-neutral hedging and incorporating beta-dependent volatility normalization, we derive a stability condition that characterizes the onset of a gamma-squeeze event. The model captures a nonlinear recursive feedback loop between market-maker hedging and price movements and the resulting self-reinforcing dynamics. From a complex-systems perspective, the dynamics represent a bounded nonlinear response in which effective gain depends jointly on beta-normalized shock perception and gamma-scaled sensitivity. Our analysis highlights that low-beta stocks exhibit disproportionately strong feedback even for modest absolute price movements.

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Haoying Dai. 2025-11-27. Beta-Dependent Gamma Feedback and Endogenous Volatility Amplification in Option Markets. https://arxiv.org/abs/2511.22766

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