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Large and moderate deviations for stochastic Volterra systems

Antoine Jacquier and Alexandre Pannier

Papers from arXiv.org

Abstract: We provide a unified treatment of pathwise Large and Moderate deviations principles for a general class of multidimensional stochastic Volterra equations with singular kernels, not necessarily of convolution form. Our methodology is based on the weak convergence approach by Budhijara, Dupuis and Ellis. We show in particular how this framework encompasses most rough volatility models used in mathematical finance and generalises many recent results in the literature.

Date: 2020-04, Revised 2022-04
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Citations: View citations in EconPapers (9)

Published in Stochastic Processes and their Applications, vol. 149, pp. 142-187, 2022

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