Joint modelling and calibration of SPX and VIX by optimal transport

This paper addresses the joint calibration problem of SPX options and VIX options or futures. We show that the problem can be formulated as a semimartingale optimal transport problem under a finite number of discrete constraints, in the spirit of [Guo, Loeper, and Wang, Math. Finance, 32 (2021)]. We...

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Bibliographic Details
Main Authors: Guo, I, Loeper, G, Obłój, J, Wang, S
Format: Journal article
Language:English
Published: Society for Industrial and Applied Mathematics 2022