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Pricing of a reload employee stock option under severance risk

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  • Jun Ma

Abstract

Since employee stock option grants have some features that do not fulfill the Black-Scholes assumptions, we use a severance incorporating model to capture its main properties that specify the price and reload condition. Generally, the employee is exposed to various severance risks such as termination with cause or without cause. Departure from a firm with or without cause means that the option would be forfeited or exercised immediately, respectively, which gives significant influence to the optimal decision of executing the reload. To compute the reload, we determine the boundary constraint as a free boundary condition and reveal the main features of the impact of severance risk on reload.

Suggested Citation

  • Jun Ma, 2011. "Pricing of a reload employee stock option under severance risk," Quantitative Finance, Taylor & Francis Journals, vol. 11(8), pages 1233-1244.
  • Handle: RePEc:taf:quantf:v:11:y:2011:i:8:p:1233-1244
    DOI: 10.1080/14697688.2010.490560
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    References listed on IDEAS

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    1. Philip H. Dybvig & Mark Loewenstein, 2003. "Employee Reload Options: Pricing, Hedging, and Optimal Exercise," Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 145-171.
    2. Peter Carr & Vadim Linetsky, 2000. "The Valuation of Executive Stock Options in an Intensity-Based Framework," Review of Finance, European Finance Association, vol. 4(3), pages 211-230.
    3. Brenner, Menachem & Sundaram, Rangarajan K. & Yermack, David, 2000. "Altering the terms of executive stock options," Journal of Financial Economics, Elsevier, vol. 57(1), pages 103-128, July.
    4. Johnson, Shane A. & Tian, Yisong S., 2000. "The value and incentive effects of nontraditional executive stock option plans," Journal of Financial Economics, Elsevier, vol. 57(1), pages 3-34, July.
    5. 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 637-654, May-June.
    6. Huddart, Steven & Lang, Mark, 1996. "Employee stock option exercises an empirical analysis," Journal of Accounting and Economics, Elsevier, vol. 21(1), pages 5-43, February.
    7. Min Dai & Yue Kuen Kwok, 2005. "Valuing employee reload options under the time vesting requirement," Quantitative Finance, Taylor & Francis Journals, vol. 5(1), pages 61-69.
    8. Huddart, Steven, 1994. "Employee stock options," Journal of Accounting and Economics, Elsevier, vol. 18(2), pages 207-231, September.
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