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Vol-of-vol expansion for (rough) stochastic volatility models

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  • Ozan Akdogan

Abstract

We introduce an asymptotic small noise expansion, a so called vol-of-vol expansion, for potentially infinite dimensional and rough stochastic volatility models. Thereby we extend the scope of existing results for finite dimensional models and validate claims for infinite dimensional models. Furthermore we provide new, explicit (in the sense of non-recursive) representations of the so-called push-down Malliavin weights that utilizes a precise understanding of the terms of this expansion.

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  • Ozan Akdogan, 2019. "Vol-of-vol expansion for (rough) stochastic volatility models," Papers 1910.03245, arXiv.org, revised Dec 2019.
    • Handle: RePEc:arx:papers:1910.03245
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    References listed on IDEAS

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