Cookies?
Library Header Image
LSE Research Online LSE Library Services

Affine Volterra processes with jumps

Bondi, Alessandro, Livieri, Giulia and Pulido, Sergio (2024) Affine Volterra processes with jumps. Stochastic Processes and Their Applications, 168. ISSN 0304-4149

[img] Text (Affine Volterra processes with jumps) - Accepted Version
Repository staff only until 7 December 2024.
Available under License Creative Commons Attribution Non-commercial No Derivatives.

Download (660kB) | Request a copy

Identification Number: 10.1016/j.spa.2023.104264

Abstract

The theory of affine processes has been recently extended to continuous stochastic Volterra equations. These so-called affine Volterra processes overcome modeling shortcomings of affine processes by incorporating path-dependent features and trajectories with regularity different from the paths of Brownian motion. More specifically, singular kernels yield rough affine processes. This paper extends the theory by considering affine stochastic Volterra equations with jumps. This extension is not straightforward because the jump structure and possible singularities of the kernel may induce explosions of the trajectories. This study also provides exponential affine formulas for the conditional Fourier–Laplace transform of marked Hawkes processes.

Item Type: Article
Official URL: https://www.sciencedirect.com/journal/stochastic-p...
Additional Information: © 2023 Elsevier B.V.
Divisions: Statistics
LSE
Subjects: Q Science > QA Mathematics
Date Deposited: 14 Dec 2023 12:39
Last Modified: 12 Apr 2024 16:24
URI: http://eprints.lse.ac.uk/id/eprint/121054

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics