The article describes a global and arbitrage-free parametrization of the eSSVI surfaces introduced by Hendriks and Martini in 2019. A robust calibration of such surfaces has already been proposed by the quantitative research team at Zeliade in 2019, but it is sequential in expiries and lacks of...

This paper describes a new parametric volatility surface that is arbitrage free, extremely rich and flexible, and has closed-form expressions for both European option values and local volatilities. Our surface is based on the work of Carr and Pelts, for which we provide a simple derivation and a...