Estimating the Cost of Executive Stock Options: Evidence from Switzerland

Abstract

It is often argued that Black-Scholes (1973) values overstate the subjective value of stock options granted to risk-averse and under-diversified executives. We construct a "representative" Swiss executive and extend the certainty-equivalence approach presented by Hall and Murphy (2002) to assess the value-cost wedge of executive stock options. Even with low coefficients of relative risk aversion, the discount can be above 50% compared to the Black-Scholes values. Regression analysis reveals that the equilibrium level of executive compensation is explained by economic determinant variables such as firm size and growth opportunities, whereas the managers' pay-for-performance sensitivity remains largely unexplained. Firms with larger boards of directors pay higher wages, indicating potentially unresolved agency conflicts. We reject the hypothesis that cross-sectional differences in the amount of executive pay vanish when risk-adjusted values are used as the dependent variable.

Keywords: Managerial compensation, incentives, executive stock options, option valuation, risk aversion

JEL Classification: J33, G13, G32