English

High-order compact schemes for Black-Scholes basket options

Computational Finance 2015-05-29 v1 Numerical Analysis

Abstract

We present a new high-order compact scheme for the multi-dimensional Black-Scholes model with application to European Put options on a basket of two underlying assets. The scheme is second-order accurate in time and fourth-order accurate in space. Numerical examples confirm that a standard second-order finite difference scheme is significantly outperformed.

Cite

@article{arxiv.1505.07613,
  title  = {High-order compact schemes for Black-Scholes basket options},
  author = {Bertram Düring and Christof Heuer},
  journal= {arXiv preprint arXiv:1505.07613},
  year   = {2015}
}

Comments

5 pages

R2 v1 2026-06-22T09:42:58.352Z