activity
20212026
most citedOptimal exercise of American options under time-dependent Ornstein-Uhlenbeck processes

2 citations · 4 across the 6 of their papers we have counts for

collaborators

6 papers

math.OC2026

Robust Ergodic Control of Jump-Diffusion Systems under Drift and Intensity Uncertainty

Abel Azze, Bernardo D'Auria, Giorgio Ferrari

We study a regulation problem for stochastic systems subject to both continuous fluctuations and rare but significant shocks, modeled as a jump-diffusion with uncertainty in both t…

math.PR2025

On the optimal stopping of Gauss-Markov bridges with random pinning points

Abel Azze, Bernardo D'Auria

We consider the optimal stopping problem for a Gauss-Markov process conditioned to adopt a prescribed terminal distribution. By applying a time-space transformation, we show it is…

stat.AP2025

Modelling a storage system of a wind farm with a ramp-rate limitation: a semi-Markov modulated Brownian bridge approach

Abel Azze, Guglielmo D'Amico, Bernardo D'Auria +1

We propose a new methodology to simulate the discounted penalty applied to a wind-farm operator by violating ramp-rate limitation policies. It is assumed that the operator manages…

math.PR2022★ 1 cited

Optimal stopping of Gauss-Markov bridges

Abel Azze, Bernardo D'Auria, Eduardo García-Portugués

We solve the non-discounted, finite-horizon optimal stopping problem of a Gauss-Markov bridge by using a time-space transformation approach. The associated optimal stopping boundar…

math.PR2022★ 2 cited

Optimal exercise of American options under time-dependent Ornstein-Uhlenbeck processes

Abel Azze, Bernardo D'Auria, Eduardo García-Portugués

We study the barrier that gives the optimal time to exercise an American option written on a time-dependent Ornstein--Uhlenbeck process, a diffusion often adopted by practitioners…

math.PR2021★ 1 cited

Optimal stopping of an Ornstein-Uhlenbeck bridge

Abel Azze, Bernardo D'Auria, Eduardo García-Portugués

We make a rigorous analysis of the existence and characterization of the free boundary related to the optimal stopping problem that maximizes the mean of an Ornstein--Uhlenbeck bri…