1 code implementation • 20 Dec 2022 • Marc Chataigner, Areski Cousin, Stéphane Crépey, Matthew Dixon, Djibril Gueye
We explore the abilities of two machine learning approaches for no-arbitrage interpolation of European vanilla option prices, which jointly yield the corresponding local volatility surface: a finite dimensional Gaussian process (GP) regression approach under no-arbitrage constraints based on prices, and a neural net (NN) approach with penalization of arbitrages based on implied volatilities.
1 code implementation • 27 Nov 2020 • Marc Chataigner, Stephane Crepey, Jiang Pu
The latter is meant in a broad sense encompassing completion of gridded values, interpolation, or outlier detection, in the context of financial time series of curves or surfaces (also applicable in higher dimensions, at least in theory).
1 code implementation • 20 Jul 2020 • Marc Chataigner, Stéphane Crépey, Matthew Dixon
Deep learning for option pricing has emerged as a novel methodology for fast computations with applications in calibration and computation of Greeks.