Papers, ranked by score

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

Volatility Parametrizations with Random Coefficients: Analytic Flexibility for Implied Volatility Surfaces

It is a market practice to express market-implied volatilities in some parametric form. The most popular parametrizations are based on or inspired by an underlying stochastic model, like the Heston model (SVI method) or the SABR model (SABR parametrization). Their popularity is often driven by a clo

Holy Grail Math 7 Rigor 7.5 ·  November 6, 2024

GPU acceleration of the Seven-League Scheme for large time step simulations of stochastic differential equations

Monte Carlo simulation is widely used to numerically solve stochastic differential equations. Although the method is flexible and easy to implement, it may be slow to converge. Moreover, an inaccurate solution will result when using large time steps. The Seven League scheme, a deep learning-based nu

Holy Grail Math 7 Rigor 6.5 ·  February 10, 2023

Lifted Heston Model: Efficient Monte Carlo Simulation with Large Time Steps

The lifted Heston model is a stochastic volatility model emerging as a Markovian lift of the rough Heston model and the class of rough volatility processes. The model encodes the path dependency of volatility on a set of N square-root state processes driven by a common stochastic factor. While the s

Holy Grail Math 8 Rigor 5 ·  October 9, 2025

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