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Valuing executive stock options: performance hurdles, early exercise and stochastic volatility
Authors:Philip Brown  Alex Szimayer
Institution:Australian School of Business, University of New South Wales, Sydney, 2052, Australia;
UWA Business School, University of Western Australia, Crawley, 6009, Australia;
Department of Financial Mathematics, Fraunhofer ITWM, Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany
Abstract:Accounting standards require companies to assess the fair value of any stock options granted to executives and employees. We develop a model for accurately valuing executive and employee stock options, focusing on performance hurdles, early exercise and uncertain volatility. We apply the model in two case studies and show that properly computed fair values can be significantly lower than traditional Black–Scholes values. We then explore the implications for pay-for-performance sensitivity and the design of effective share-based incentive schemes. We find that performance hurdles can require a much greater fraction of total compensation to be a fixed salary, if pre-existing incentive levels are to be maintained.
Keywords:Executive stock options  Performance hurdles  Early exercise  Stochastic volatility
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