High-order compact finite difference scheme for option pricing in stochastic volatility with contemporaneous jump models
Bertram D\"uring and
Alexander Pitkin
Authors registered in the RePEc Author Service: Bertram Düring
Papers from arXiv.org
Abstract:
We extend the scheme developed in B. D\"uring, A. Pitkin, "High-order compact finite difference scheme for option pricing in stochastic volatility jump models", 2019, to the so-called stochastic volatility with contemporaneous jumps (SVCJ) model, derived by Duffie, Pan and Singleton. The performance of the scheme is assessed through a number of numerical experiments, using comparisons against a standard second-order central difference scheme. We observe that the new high-order compact scheme achieves fourth order convergence and discuss the effects on efficiency and computation time.
Date: 2018-10, Revised 2019-03
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