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Optimal transport for model calibration (2107.01978v1)
Published 5 Jul 2021 in q-fin.MF and math.OC
Abstract: 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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