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

Rough PDEs for local stochastic volatility models

In this work, we introduce a novel pricing methodology in general, possibly non-Markovian local stochastic volatility (LSV) models. We observe that by conditioning the LSV dynamics on the Brownian motion that drives the volatility, one obtains a time-inhomogeneous Markov process. Using tools from ro

Lab Rats Math 8.5 Rigor 4 ·  July 18, 2023

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

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