Papers, ranked by score

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

On the Weak Error for Local Stochastic Volatility Models

Local stochastic volatility refers to a popular model class in applied mathematical finance that allows for “calibration-on-the-fly”, typically via a particle method, derived from a formal McKean-Vlasov equation. Well-posedness of this limit is a well-known problem in the field; the general case is

Lab Rats Math 9 Rigor 4 ·  June 12, 2025

Weak error estimates for rough volatility models

We consider a class of stochastic processes with rough stochastic volatility, examples of which include the rough Bergomi and rough Stein-Stein model, that have gained considerable importance in quantitative finance. A basic question for such (non-Markovian) models concerns efficient numerical schem

Lab Rats Math 9 Rigor 3 ·  December 3, 2022

Microstructural Foundation of Rough Log-Normal Volatility Models

We establish a microstructural foundation of the rough Bergomi model. Specifically, we consider a sequence of order driven financial market models where orders to buy or sell an asset arrive according to a Poisson process and have a long lasting impact on volatility. Using a recently established C-t

Lab Rats Math 9.2 Rigor 2.5 ·  March 13, 2026

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