Convergence in Multiscale Financial Models with Non-Gaussian Stochastic Volatility

We consider stochastic control systems affected by a fast mean reverting volatility $Y(t)$ driven by a pure jump L\'evy process. Motivated by a large literature on financial models, we assume that $Y(t)$ evolves at a faster time scale $\frac{t}{\varepsilon}$ than the assets, and we study the asymptotics as $\varepsilon\to 0$. This is a singular perturbation problem that we study mostly by PDE methods within the theory of viscosity solutions.

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Year of publication:	2014-05
Authors:	Bardi, Martino ; Cesaroni, Annalisa ; Scotti, Andrea
Institutions:	arXiv.org

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Extent:	application/pdf
Series:	Papers.
Type of publication:	Book / Working Paper
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010776465