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Weak error approximation for rough and Gaussian mean-reverting stochastic volatility models

Author

Listed:
  • Aur'elien Alfonsi
  • Ahmed Kebaier

Abstract

For a class of stochastic models with Gaussian and rough mean-reverting volatility that embeds the genuine rough Stein-Stein model, we study the weak approximation rate when using a Euler type scheme with integrated kernels. Our first result is a weak convergence rate for the discretised rough Ornstein-Uhlenbeck process, that is essentially in $\min(3\alpha-1,1)$, where $\frac{t^{\alpha-1}}{\Gamma(\alpha)} $ is the fractional convolution kernel with $\alpha \in (1/2,1)$. Then, our main result is to obtain the same convergence rate for the corresponding stochastic rough volatility model with polynomial test functions.

Suggested Citation

  • Aur'elien Alfonsi & Ahmed Kebaier, 2026. "Weak error approximation for rough and Gaussian mean-reverting stochastic volatility models," Papers 2602.18234, arXiv.org.
    • Handle: RePEc:arx:papers:2602.18234
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    References listed on IDEAS

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