From Arbitrage Removal to Density Extraction: A Model-Free Framework for Short-Dated Options

Fuente: arXiv
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Autori principali: Wizman, Aaron, Turinici, Gabriel, Merran, Gregory
Natura: Preprint
Pubblicazione: 2026
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author Wizman, Aaron
Turinici, Gabriel
Merran, Gregory
author_facet Wizman, Aaron
Turinici, Gabriel
Merran, Gregory
contents We study risk-neutral density extraction from short-dated option chains. As expiry approaches, option premia decline and bid--ask spreads can be large relative to prices, making mid quotes particularly uninformative. Stale or asynchronous quotes may also generate potential static arbitrages, rendering standard procedures infeasible or unstable. We develop a model-free pipeline that treats bid-ask quotes as the primitive market constraint. The pipeline consists of two steps. First, a procedure called ``Arbitrage Removal Iterative Executable Strategy'' (ARIES) filters executable static arbitrage at quoted bid and ask prices under market-depth constraints. Second, the ``Smooth Entropic Density EXtraction'' (SEDEx) then recovers the density through a criterion leveraging smoothness and entropy under bid-ask constraints. We test the pipeline on synthetic Heston panels and short-dated SPX option data, sampled from a few hours to one week before expiry. Computation is fast and returns robust densities across various market conditions, including scheduled macroeconomic announcements. As an empirical application, we use the recovered densities to construct short dated implied-volatility smiles.
format Preprint
id arxiv_https___arxiv_org_abs_2605_22792
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle From Arbitrage Removal to Density Extraction: A Model-Free Framework for Short-Dated Options
Wizman, Aaron
Turinici, Gabriel
Merran, Gregory
Computational Finance
Mathematical Finance
Pricing of Securities
91G60, 91G20
We study risk-neutral density extraction from short-dated option chains. As expiry approaches, option premia decline and bid--ask spreads can be large relative to prices, making mid quotes particularly uninformative. Stale or asynchronous quotes may also generate potential static arbitrages, rendering standard procedures infeasible or unstable. We develop a model-free pipeline that treats bid-ask quotes as the primitive market constraint. The pipeline consists of two steps. First, a procedure called ``Arbitrage Removal Iterative Executable Strategy'' (ARIES) filters executable static arbitrage at quoted bid and ask prices under market-depth constraints. Second, the ``Smooth Entropic Density EXtraction'' (SEDEx) then recovers the density through a criterion leveraging smoothness and entropy under bid-ask constraints. We test the pipeline on synthetic Heston panels and short-dated SPX option data, sampled from a few hours to one week before expiry. Computation is fast and returns robust densities across various market conditions, including scheduled macroeconomic announcements. As an empirical application, we use the recovered densities to construct short dated implied-volatility smiles.
title From Arbitrage Removal to Density Extraction: A Model-Free Framework for Short-Dated Options
topic Computational Finance
Mathematical Finance
Pricing of Securities
91G60, 91G20
url https://arxiv.org/abs/2605.22792