This paper determines the cost of employee stock options (ESOs) to shareholders. I present a pricing method that seeks to replicate the empirics of exercise and cancellation as good as possible. In a first step, an intensity-based pricing model of El Karoui and Martellini is adapted to the needs...

This study contributes to the valuation of employee stock options (ESO) in two ways: First, a new pricing model is presented, admitting a major part of calculations to be solved in closed form. Designed with a focus on good replication of empirics, the model fits with publicly observable...

We investigate the impact of independent valuation specialists on the downward bias of pre-initial public offering employee stock option valuations. Undervalued stock price estimates underlying firms' option grants produce option valuations that overstate earnings and provide employees with deep...

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...

We propose a new framework to value employee stock options (ESOs) that captures multiple exercises of different quantities over time. We also model the ESO holder's job termination risk and incorporate its impact on the payoffs of both vested and unvested ESOs. Numerical methods based on Fourier...

This paper examines how forfeiture, vesting, and early exercise affect the value of employee stock options. The forfeiture and exogenous exercise of the options are modeled as two Poisson processes with constant intensity. Rational exercise by the employee due to the option's American feature is...

Employee stock options (ESOs) are American-style call options that can be terminated early due to employment shock. This paper studies an ESO valuation framework that accounts for job termination risk and jumps in the company stock price. Under general Levy stock price dynamics, we show that a...

We analyze the American option valuation problem with the forward performance criterion introduced by Musiela and Zariphopoulou (2008). In this framework, utility evolves forward in time without reference to a specific future time horizon. Moreover, risk preferences change with stochastic market...

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...

We consider the optimal exercise of a portfolio of American call options in an incomplete market. Options are written on a single underlying asset but may have different characteristics of strikes, maturities and vesting dates.Our motivation is to model the decision faced by an employee who is...