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American GARCH employee stock option valuation

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  • Len, Angel
  • Vaello-Sebasti, Antoni

Abstract

We implement a flexible simulation-based approach for the fair value of employee stock option (ESO) that accounts for the vesting period, departure risk and voluntary suboptimal early exercise. We introduce GARCH effects on the underlying asset and we analyze the price bias with respect to the constant volatility case. We also perform a sensitivity analysis with respect to changes in several ESO characteristics. We compare this valuation with FAS 123 method revealing a FAS overvaluation. Finally, we value a real ESO plan providing the confidence intervals for the estimated ESO prices.

Suggested Citation

  • Len, Angel & Vaello-Sebasti, Antoni, 2009. "American GARCH employee stock option valuation," Journal of Banking & Finance, Elsevier, vol. 33(6), pages 1129-1143, June.
    • Handle: RePEc:eee:jbfina:v:33:y:2009:i:6:p:1129-1143
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    3. Carmona, Julio & León, Angel & Vaello-Sebastià, Antoni, 2012. "Does stock return predictability affect ESO fair value?," European Journal of Operational Research, Elsevier, vol. 223(1), pages 188-202.
    4. Susana Alvarez-Diez & J. Samuel Baixauli-Soler & Maria Belda-Ruiz, 2016. "Early Exercise Behaviour in Performance-vested Stock Option Grants," Annals of Economics and Finance, Society for AEF, vol. 17(1), pages 55-78, May.
    5. Chung, San-Lin & Shih, Pai-Ta, 2009. "Static hedging and pricing American options," Journal of Banking & Finance, Elsevier, vol. 33(11), pages 2140-2149, November.
    6. Chung, San-Lin & Hung, Mao-Wei & Wang, Jr-Yan, 2010. "Tight bounds on American option prices," Journal of Banking & Finance, Elsevier, vol. 34(1), pages 77-89, January.
    7. Cheng Few Lee, 2020. "Financial econometrics, mathematics, statistics, and financial technology: an overall view," Review of Quantitative Finance and Accounting, Springer, vol. 54(4), pages 1529-1578, May.
    8. Lars Stentoft, 2013. "American option pricing using simulation with an application to the GARCH model," Chapters, in: Adrian R. Bell & Chris Brooks & Marcel Prokopczuk (ed.), Handbook of Research Methods and Applications in Empirical Finance, chapter 5, pages 114-147, Edward Elgar Publishing.
    9. Keeling, Kathleen A. & McGoldrick, Peter J. & Sadhu, Henna, 2013. "Staff Word-of-Mouth (SWOM) and retail employee recruitment," Journal of Retailing, Elsevier, vol. 89(1), pages 88-104.

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