We derive a simple formula for the cost of the ESO to the firm at the grant date under the assumption that the executive has a constant market-to-strike multiple. The market-to-strike multiple is defined as the ratio of the market price on exercise to the strike price of the ESO. The expected...

More than half of S&P 500 CEOs receive options annually, however extant valuation models have not accounted for portfolio considerations. We show the inability of executives to diversify means portfolio effects matter: exercise thresholds and shareholder costs are lower than for stand-alone...

To value non-transferable non-hedgeable (NTNH) contingent claims and price executive stock options (ESOs), we use a replication argument to translate portfolios with NTNH derivatives into portfolios of primary assets (only) with stochastic portfolio constraints. By identifying stochastic...

In this paper I develop a theoretical model in which an executive exercises her option package (ESO) in fractions to diversify into other assets. I find that fractional exercises affect ESO values considerably for companies with highly volatile stock returns compared to a model with assumed full...

This paper adds to the empirical evidence on the extent to which stock-based pay incentivizes and rewards European corporate executives. It shows that the actual realized gains (that is, take-home compensation) from stock-based pay of CEOs in European publicly-listed firms may be underestimated...

Traditional stock option grant is the most common form of incentive pay in executive compensation. Applying a principal-agent analysis, we find this common practice suboptimal and firms are better off linking incentive pay to average stock prices. Among other benefits, averaging reduces...

Traditional stock option grant is the most common form of incentive pay in executive compensation. Applying a principal-agent analysis, we find this common practice suboptimal and firms are better off linking incentive pay to average stock prices. Holding the cost of the option grant to the firm...

Attempted dynamic replication based valuation of equity options is analyzed using the Optimal Hedge Monte-Carlo (OHMC) method. Detailed here are (1) the option hedging strategy and its costs; (2) irreducible hedging errors associated with realistically fat-tailed & asymmetric return...

This paper evaluates the underperformance of individual equity options relative to their replicating portfolios. Considering a high-dimensional set of variables, we use a machine learning approach to identify the characteristics of options and their underlying stocks that provide incremental...