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Pricing executive stock options under employment shocks

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  • Carmona, Julio
  • León, Angel
  • Vaello-Sebastià, Antoni

Abstract

We obtain explicit expressions for the subjective, objective and market value of perpetual executive stock options (ESOs) under exogenous employment shocks driven by an independent Poisson process. Previously, we obtain the executive's optimal exercise policy from the subjective valuation that is necessary for the objective one, or fair value. The perpetual ESO is compared with the true finite maturity ESO finding that the approximation is reasonably good. To illustrate the usefulness of the objective valuation for accounting purposes, we analyze the statistical distribution of the fair value when there is uncertainty about the employment shock intensity. Finally, the role of ESOs in the design of executives' incentives is also discussed.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 35 (2011)
Issue (Month): 1 (January)
Pages: 97-114

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Handle: RePEc:eee:dyncon:v:35:y:2011:i:1:p:97-114

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Web page: http://www.elsevier.com/locate/jedc

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Keywords: Executive stock options Risk aversion Undiversification Incentives FAS123R;

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  1. Lars Stentoft, 2004. "Convergence of the Least Squares Monte Carlo Approach to American Option Valuation," Management Science, INFORMS, vol. 50(9), pages 1193-1203, September.
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  8. Sircar, Ronnie & Xiong, Wei, 2007. "A general framework for evaluating executive stock options," Journal of Economic Dynamics and Control, Elsevier, vol. 31(7), pages 2317-2349, July.
  9. Bettis, J. Carr & Bizjak, John M. & Lemmon, Michael L., 2005. "Exercise behavior, valuation, and the incentive effects of employee stock options," Journal of Financial Economics, Elsevier, vol. 76(2), pages 445-470, May.
  10. Huddart, Steven, 1994. "Employee stock options," Journal of Accounting and Economics, Elsevier, vol. 18(2), pages 207-231, September.
  11. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
  12. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
  13. Tian, Yisong S., 2004. "Too much of a good incentive? The case of executive stock options," Journal of Banking & Finance, Elsevier, vol. 28(6), pages 1225-1245, June.
  14. Vicky Henderson, 2005. "The impact of the market portfolio on the valuation, incentives and optimality of executive stock options," Quantitative Finance, Taylor & Francis Journals, vol. 5(1), pages 35-47.
  15. Chang, Charles & Fuh, Cheng-Der & Hsu, Ya-Hui, 2008. "ESO compensation: The roles of default risk, employee sentiment, and insider information," Journal of Corporate Finance, Elsevier, vol. 14(5), pages 630-641, December.
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Cited by:
  1. Eikseth, Hans Marius & Lindset, Snorre, 2011. "Backdating executive stock options--An ex ante valuation," Journal of Economic Dynamics and Control, Elsevier, vol. 35(10), pages 1731-1743, October.

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