arXiv (math.PR)
2026-06-17 12:00
DOI:
arXiv:2606.07482
Moments in Rough Bergomi and Boundary Attainment in Rough Heston
Authors:
Abstract
arXiv:2606.07482v2 Announce Type: replace
Abstract: We address two open questions in the rough volatility literature. First, we prove finite positive moments for the rough Bergomi price process, and for a wider class of Gaussian Volterra Bergomi models, in the whole subcritical range under negative correlation. More precisely, if \(\rho\in[-1,0)\), then \(\E[S_T^p]