English

Numerical analysis on local risk-minimization forexponential L\'evy models

Computational Finance 2015-06-15 v1

Abstract

We illustrate how to compute local risk minimization (LRM) of call options for exponential L\'evy models. We have previously obtained a representation of LRM for call options; here we transform it into a form that allows use of the fast Fourier transform method suggested by Carr & Madan. In particular, we consider Merton jump-diffusion models and variance gamma models as concrete applications.

Keywords

Cite

@article{arxiv.1506.03898,
  title  = {Numerical analysis on local risk-minimization forexponential L\'evy models},
  author = {Takuji Arai and Yuto Imai and Ryoichi Suzuki},
  journal= {arXiv preprint arXiv:1506.03898},
  year   = {2015}
}
R2 v1 2026-06-22T09:52:20.787Z