Corpus ID: 189928391

Calibration of Local-Stochastic Volatility Models by Optimal Transport

@article{Guo2019CalibrationOL,
  title={Calibration of Local-Stochastic Volatility Models by Optimal Transport},
  author={Ivan Guo and G. Loeper and S. Wang},
  journal={arXiv: Mathematical Finance},
  year={2019}
}
In this paper, we study a semi-martingale optimal transport problem and its application to the calibration of Local-Stochastic Volatility (LSV) models. Rather than considering the classical constraints on marginal distributions at initial and final time, we optimise our cost function given the prices of a finite number of European options. We formulate the problem as a convex optimisation problem, for which we provide a dual formulation. Then we solve numerically the dual problem, which… Expand
6 Citations

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References

SHOWING 1-10 OF 49 REFERENCES
Local Volatility Calibration by Optimal Transport
  • 7
Path Dependent Optimal Transport and Model Calibration on Exotic Derivatives
  • 3
  • PDF
The calibration of stochastic local-volatility models: An inverse problem perspective
  • 11
  • PDF
Calibration of the Heston Stochastic Local Volatility Model: A Finite Volume Scheme
  • 23
  • PDF
Martingale optimal transport and robust hedging in continuous time
  • 168
  • PDF
Calibrating volatility surfaces via relative-entropy minimization
  • 259
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4
5
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