Optimal transport for model calibration

5 Jul 2021  ·  Ivan Guo, Gregoire Loeper, Jan Obloj, Shiyi Wang ·

We provide a survey of recent results on model calibration by Optimal Transport. We present the general framework and then discuss the calibration of local, and local-stochastic, volatility models to European options, the joint VIX/SPX calibration problem as well as calibration to some path-dependent options. We explain the numerical algorithms and present examples both on synthetic and market data.

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