English

Nonlinearity, correlation and the valuation of employee stock options

Statistics Theory 2008-12-10 v1 Probability Statistical Finance Statistics Theory

Abstract

We propose a discrete time algorithm for the valuation of employee stock options based on exponential indifference prices and taking into account both the possibility of partial exercise of a fraction of the options and the use of a correlated traded asset to hedge part of their risk. We determine the optimal exercise policy under this conditions and present numerical results showing how both effects can significantly change the value of the option for an employee, as well as its cost for the issuing firm.

Keywords

Cite

@article{arxiv.math/0511234,
  title  = {Nonlinearity, correlation and the valuation of employee stock options},
  author = {M. R. Grasselli},
  journal= {arXiv preprint arXiv:math/0511234},
  year   = {2008}
}

Comments

17 pages, 8 figures