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Bibliographic Details
Main Author: Hicks, Will
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.15767
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author Hicks, Will
author_facet Hicks, Will
contents In this article we model chaotic dynamics in financial markets by treating the market price, and market makers' inventory, as anharmonic oscillators with a nonlinear coupling. The market makers' risk appetite being the key parameter that determines the degree of chaos in the system. The article demonstrates that whilst external shocks and random noise are important in the treatment of financial time-series, they are not necessary in order to generate unpredictable price changes.
format Preprint
id arxiv_https___arxiv_org_abs_2605_15767
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Market Makers and Risk Aversion: A Hamiltonian Approach to the Excess Volatility Puzzle
Hicks, Will
Statistical Finance
Mathematical Finance
37N40
In this article we model chaotic dynamics in financial markets by treating the market price, and market makers' inventory, as anharmonic oscillators with a nonlinear coupling. The market makers' risk appetite being the key parameter that determines the degree of chaos in the system. The article demonstrates that whilst external shocks and random noise are important in the treatment of financial time-series, they are not necessary in order to generate unpredictable price changes.
title Market Makers and Risk Aversion: A Hamiltonian Approach to the Excess Volatility Puzzle
topic Statistical Finance
Mathematical Finance
37N40
url https://arxiv.org/abs/2605.15767