Asymptotic expansions of evolution equations with fast volatility

We study Kolmogorov forward equations (KFE) and Zakai equations for diffusion processes with a fast mean-reverting stochastic volatility component. In the case of the KFE, a parabolic PDE in divergence form, we perform a matched asymptotic expansion up to first order in the small mean-reversion time...

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Bibliographic Details
Main Authors: Howison, S, Reisinger, C, Sircar, R, Wang, Z
Format: Journal article
Language:English
Published: Society for Industrial and Applied Mathematics 2025