High Order Discretization Schemes for Stochastic Volatility Models

@article{Sbai2009HighOD,
  title={High Order Discretization Schemes for Stochastic Volatility Models},
  author={Mohamed Karim Sbai and Benjamin Jourdain},
  journal={ERN: Econometric Modeling in Financial Economics (Topic)},
  year={2009}
}
  • M. Sbai, B. Jourdain
  • Published 13 August 2009
  • Mathematics
  • ERN: Econometric Modeling in Financial Economics (Topic)
In usual stochastic volatility models, the process driving the volatility of the asset price evolves according to an autonomous one-dimensional stochastic differential equation. We assume that the coefficients of this equation are smooth. Using Ito's formula, we get rid, in the asset price dynamics, of the stochastic integral with respect to the Brownian motion driving this SDE. Taking advantage of this structure, we propose - a scheme, based on the Milstein discretization of this SDE, with… 
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