Asymptotics for volatility derivatives in multi-factor rough volatility models

Chloe Lacombe, Aitor Muguruza and Henry Stone

Papers from arXiv.org

Abstract: We present small-time implied volatility asymptotics for Realised Variance (RV) and VIX options for a number of (rough) stochastic volatility models via large deviations principle. We provide numerical results along with efficient and robust numerical recipes to compute the rate function; the backbone of our theoretical framework. Based on our results, we further develop approximation schemes for the density of RV, which in turn allows to express the volatility swap in close-form. Lastly, we investigate different constructions of multi-factor models and how each of them affects the convexity of the implied volatility smile. Interestingly, we identify the class of models that generate non-linear smiles around-the-money.

Date: 2019-03, Revised 2020-10
New Economics Papers: this item is included in nep-ets and nep-rmg
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1903.02833

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