Financial Engineering Seminar
February 23, 2007(Fri)
Time: 1:55 pm
Place: Weil Hall 307
Valuation of Employee Stock Options
Financial regulations now require that stock options that firms
give their employees be expensed in accounting statements. These
employee stock options (ESOs) have a number of complicating
characteristics that distinguish them from standard market-traded
American call options, and their value is consequently much less
due to the suboptimal exercising strategies of the holders, which
arise from risk aversion, trading and hedging constraints, and job
termination risk. We analyze the combined effect of all of these
factors along with multiple exercising rights, and vesting
periods. This leads to the study of a chain of nonlinear
free-boundary problems of reaction-diffusion type. We find that
job termination risk, vesting, finite maturity and non-zero
interest rates are significant contributors to the ESO cost, but
that in the presence of vesting, the impact of allowing for
multiple exercise rights on ESO cost is negligible.
Joint work with Tim Leung.