Minimal Variance Hedging of Options with Student-t Underlying
Statistical Mechanics
2009-10-31 v2 Statistical Finance
Abstract
I explicitly work out closed form solutions for the optimal hedging strategies (in the sense of Bouchaud and Sornette) in the case of European call options, where the underlying is modeled by (unbiased) iid additive returns with Student-t distributions. The results may serve as illustrative examples for option pricing in the presence of fat tails.
Keywords
Cite
@article{arxiv.cond-mat/9907421,
title = {Minimal Variance Hedging of Options with Student-t Underlying},
author = {K. Pinn},
journal= {arXiv preprint arXiv:cond-mat/9907421},
year = {2009}
}
Comments
some references added, version to appear in Physica A 276 (2000) 581