Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

GROMM: Generative Risk-neutral Option Market Models

We present a statically and dynamically arbitrage-free European option market model with smooth interpolation between option prices, based on the SANOS framework, and prove that its dynamics admit a unique strong solution. In spirit, it is a stochastic model for local volatility when the latter is u

Holy Grail Math 9 Rigor 8 ·  October 12, 2026

Uncertainty-Aware Strategies: A Model-Agnostic Framework for Robust Financial Optimization through Subsampling

This paper addresses the challenge of model uncertainty in quantitative finance, where decisions in portfolio allocation, derivative pricing, and risk management rely on estimating stochastic models from limited data. In practice, the unavailability of the true probability measure forces reliance on

Holy Grail Math 8.5 Rigor 7.2 ·  June 8, 2025

SANOS Smooth strictly Arbitrage-free Non-parametric Option Surfaces

We present a simple, numerically efficient but highly flexible non-parametric method to construct representations of option price surfaces which are both smooth and strictly arbitrage-free across time and strike. The method can be viewed as a smooth generalization of the widely-known linear interpol

Holy Grail Math 7.5 Rigor 6.5 ·  January 16, 2026

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