Showing math.PRShow all
3 papers · 1 filter
math.PR2026
Weak error approximation for rough and Gaussian mean-reverting stochastic volatility models
Aurélien Alfonsi, Ahmed Kebaier
For a class of stochastic models with Gaussian and rough mean-reverting volatility that embeds the genuine rough Stein-Stein model, we study the weak approximation rate when using…
math.PR2025
Local asymptotic properties for the growth rate of a jump-type CIR process
Mohamed Ben Alaya, Ahmed Kebaier, Gyula Pap +1
In this paper, we consider a one-dimensional jump-type Cox-Ingersoll-Ross process driven by a Brownian motion and a subordinator, whose growth rate is an unknown parameter. Conside…
math.PR2024
Interpolated Drift Implicit Euler MLMC Method for Barrier Option Pricing and application to CIR and CEV Models
Mouna Ben Derouich, Ahmed Kebaier
Recently, Giles et al. [14] proved that the efficiency of the Multilevel Monte Carlo (MLMC) method for evaluating Down-and-Out barrier options for a diffusion process $(X_t)_{t\in[…