Employee Stock Options: Much More Valuable than You Thought
31 Pages Posted: 8 Dec 2004
Date Written: March 1, 2005
Previous papers have argued that trading restrictions can result in a typical employee stock option having a subjective value (certainty equivalent value) that is substantially less than its Black-Scholes value. However, these analyses ignore the manager's ability to (at least partially) control the risk level within the firm. In this paper, we show how managerial control can lead to such options having much larger certainty equivalent values for employees who can exercise control. We also show that the potential for early exercise is substantially less valuable with managerial control.
The certainty equivalent value for a European option with managerial control can easily exceed the Black-Scholes value for a comparable option without control. However, it is questionable whether Black-Scholes is an appropriate benchmark for an option where the underlying process exhibits controlled volatility. We show how to obtain a risk-neutral valuation for such an option. That risk-neutral value can be substantially greater or less than the Black-Scholes value. Furthermore, the option's certainty equivalent value can also be greater or less than its risk-neutral value.
Keywords: Employee Stock Options, Dynamic Optimatimization
JEL Classification: G13, G34
Suggested Citation: Suggested Citation