Optimal transport for model calibration

2021/07/05 by Guo, Ivan, Loeper, Gregoire, Obloj, Jan +1 · 1 citation
#FOS: Economics and business #FOS: Mathematics #Mathematical Finance (q-fin.MF) #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2107.01978

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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