activity
20172024
most citedOn smile properties of volatility derivatives and exotic products: understanding the VIX skew

5 citations · 8 across the 5 of their papers we have counts for

collaborators

10 papers

q-fin.MF2024

Risk premium and rough volatility

Ofelia Bonesini, Antoine Jacquier, Aitor Muguruza

One the one hand, rough volatility has been shown to provide a consistent framework to capture the properties of stock price dynamics both under the historical measure and for pric…

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.MF2019

Not so Particular about Calibration: Smile Problem Resolved

Aitor Muguruza

We present a novel Monte Carlo based LSV calibration algorithm that applies to all stochastic volatility models, including the non-Markovian rough volatility family. Our framework…

q-fin.MF2019★ 1 cited

On deep calibration of (rough) stochastic volatility models

Christian Bayer, Blanka Horvath, Aitor Muguruza +2

Techniques from deep learning play a more and more important role for the important task of calibration of financial models. The pioneering paper by Hernandez [Risk, 2017] was a ca…

q-fin.MF2019

Asymptotics for volatility derivatives in multi-factor rough volatility models

Chloe Lacombe, Aitor Muguruza, Henry Stone

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.…

q-fin.MF2019

Deep Learning Volatility

Blanka Horvath, Aitor Muguruza, Mehdi Tomas

We present a neural network based calibration method that performs the calibration task within a few milliseconds for the full implied volatility surface. The framework is consiste…

q-fin.MF2018★ 5 cited

On smile properties of volatility derivatives and exotic products: understanding the VIX skew

Elisa Alòs, David García-Lorite, Aitor Muguruza

We develop a method to study the implied volatility for exotic options and volatility derivatives with European payoffs such as VIX options. Our approach, based on Malliavin calcul…

math.PR2017

Functional central limit theorems for rough volatility

Blanka Horvath, Antoine Jacquier, Aitor Muguruza +1

The non-Markovian nature of rough volatility processes makes Monte Carlo methods challenging and it is in fact a major challenge to develop fast and accurate simulation algorithms.…

q-fin.PR2017

On VIX Futures in the rough Bergomi model

Antoine Jacquier, Claude Martini, Aitor Muguruza

The rough Bergomi model introduced by Bayer, Friz and Gatheral has been outperforming conventional Markovian stochastic volatility models by reproducing implied volatility smiles i…