Search Results - "Muguruza, Aitor"
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Deep learning volatility: a deep neural network perspective on pricing and calibration in (rough) volatility models
Published in Quantitative finance (2021)“…We present a neural network-based calibration method that performs the calibration task within a few milliseconds for the full implied volatility surface. The…”
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2
Asymptotics for volatility derivatives in multi-factor rough volatility models
Published in Mathematics and financial economics (01-06-2021)“…We study the small-time implied volatility smile for Realised Variance options, and investigate the effect of correlation in multi-factor models on the…”
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3
On VIX futures in the rough Bergomi model
Published in Quantitative finance (01-01-2018)“…The rough Bergomi model introduced by Bayer et al. [Quant. Finance, 2015, 1-18] has been outperforming conventional Markovian stochastic volatility models by…”
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4
Functional central limit theorems for rough volatility
Published in Finance and stochastics (01-07-2024)“…The non-Markovian nature of rough volatility makes Monte Carlo methods challenging, and it is in fact a major challenge to develop fast and accurate simulation…”
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5
Clustering market regimes using the Wasserstein distance
Published in The journal of computational finance (2024)Get full text
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6
Not so Particular about Calibration: Smile Problem Resolved
Published 29-09-2019“…We present a novel Monte Carlo based LSV calibration algorithm that applies to all stochastic volatility models, including the non-Markovian rough volatility…”
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7
Risk premium and rough volatility
Published 18-03-2024“…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…”
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Rough multifactor volatility for SPX and VIX options
Published 28-12-2021“…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…”
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9
Clustering Market Regimes using the Wasserstein Distance
Published 22-10-2021“…The problem of rapid and automated detection of distinct market regimes is a topic of great interest to financial mathematicians and practitioners alike. In…”
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10
Portfolio optimisation with options
Published 24-11-2021“…We develop a new analysis for portfolio optimisation with options, tackling the three fundamental issues with this problem: asymmetric options' distributions,…”
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A Neural RDE approach for continuous-time non-Markovian stochastic control problems
Published 25-06-2023“…We propose a novel framework for solving continuous-time non-Markovian stochastic control problems by means of neural rough differential equations (Neural…”
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12
Asymptotics for volatility derivatives in multi-factor rough volatility models
Published 07-03-2019“…We present small-time implied volatility asymptotics for Realised Variance (RV) and VIX options for a number of (rough) stochastic volatility models via large…”
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13
Deep Learning Volatility
Published 28-01-2019“…We present a neural network based calibration method that performs the calibration task within a few milliseconds for the full implied volatility surface. The…”
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14
On smile properties of volatility derivatives and exotic products: understanding the VIX skew
Published 10-08-2018“…We develop a method to study the implied volatility for exotic options and volatility derivatives with European payoffs such as VIX options. Our approach,…”
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15
On deep calibration of (rough) stochastic volatility models
Published 22-08-2019“…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…”
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16
On VIX Futures in the rough Bergomi model
Published 16-01-2017“…The rough Bergomi model introduced by Bayer, Friz and Gatheral has been outperforming conventional Markovian stochastic volatility models by reproducing…”
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17
Functional central limit theorems for rough volatility
Published 08-11-2017“…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…”
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Journal Article