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20092023
most citedAsymptotic formulae for implied volatility in the Heston model

64 citations · 204 across the 26 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

q-fin.MF2021★ 2 cited

Rough multifactor volatility for SPX and VIX options

Antoine Jacquier, Aitor Muguruza, Alexandre Pannier

We provide explicit small-time formulae for the at-the-money implied volatility, skew and curvature in a large class of models, including rough volatility models and their multi-fa…

q-fin.PM2021

Portfolio optimisation with options

Jonathan Raimana Chan, Thomas Huckle, Antoine Jacquier +1

We develop a new analysis for portfolio optimisation with options, tackling the three fundamental issues with this problem: asymmetric options' distributions, high dimensionality a…

q-fin.PR2021

Large and moderate deviations for importance sampling in the Heston model

Marc Geha, Antoine Jacquier, Zan Zuric

We provide a detailed importance sampling analysis for variance reduction in stochastic volatility models. The optimal change of measure is obtained using a variety of results from…

quant-ph2021

A Quantum Generative Adversarial Network for distributions

Amine Assouel, Antoine Jacquier, Alexei Kondratyev

Generative Adversarial Networks are becoming a fundamental tool in Machine Learning, in particular in the context of improving the stability of deep neural networks. At the same ti…

q-fin.RM2021

Market regime classification with signatures

Paul Bilokon, Antoine Jacquier, Conor McIndoe

We provide a data-driven algorithm to classify market regimes for time series. We utilise the path signature, encoding time series into easy-to-describe objects, and provide a metr…

q-fin.PR2021

The Log Moment formula for implied volatility

Vimal Raval, Antoine Jacquier

We revisit the foundational Moment Formula proved by Roger Lee fifteen years ago. We show that when the underlying stock price martingale admits finite log-moments E[|log(S)|^q] fo…