Large and moderate deviations for stochastic Volterra systems
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.
- Pub Date:
- April 2020
- Mathematics - Probability;
- Quantitative Finance - Pricing of Securities;
- 39 pages