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The values and incentive effects of options on the maximum or the minimum of the stock prices and market index

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  • Wang, Xingchun

Abstract

In this study, we employ the certainty equivalent principle to investigate cost efficiency and incentives of the options on the maximum or the minimum of the stock prices and market index levels. In addition, the options with averaging features are also considered. Numerical results show that options on the maximum are more cost efficient and incentive-efficient than traditional ones. As for options on the minimum, they are more cost efficient than traditional ones only when the weight in the options is not very large. However, options on the minimum also provide stronger incentives to increase stock prices than traditional ones.

Suggested Citation

  • Wang, Xingchun, 2021. "The values and incentive effects of options on the maximum or the minimum of the stock prices and market index," The North American Journal of Economics and Finance, Elsevier, vol. 55(C).
  • Handle: RePEc:eee:ecofin:v:55:y:2021:i:c:s1062940820302345
    DOI: 10.1016/j.najef.2020.101352
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    1. Tian, Yisong S., 2013. "Ironing out the kinks in executive compensation: Linking incentive pay to average stock prices," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 415-432.
    2. Carmona, Julio & León, Angel & Vaello-Sebastià, Antoni, 2011. "Pricing executive stock options under employment shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 97-114, January.
    3. Cuny, Charles J. & Jorion, Philippe, 1995. "Valuing executive stock options with endogenous departure," Journal of Accounting and Economics, Elsevier, vol. 20(2), pages 193-205, September.
    4. Brian J. Hall & Kevin J. Murphy, 2003. "The Trouble with Stock Options," Journal of Economic Perspectives, American Economic Association, vol. 17(3), pages 49-70, Summer.
    5. Johnson, Shane A. & Tian, Yisong S., 2000. "Indexed executive stock options," Journal of Financial Economics, Elsevier, vol. 57(1), pages 35-64, July.
    6. Yisong S. Tian, 2020. "Enhancing managerial equity incentives with moving average payoffs," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(10), pages 1562-1583, October.
    7. Terence Tai Leung Chong & Yue Ding & Yong Li, 2015. "Executive Stock Option Pricing in China Under Stochastic Volatility," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 35(10), pages 953-960, October.
    8. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    9. Brian J. Hall & Kevin J. Murphy, 2003. "The Trouble with Stock Options," NBER Working Papers 9784, National Bureau of Economic Research, Inc.
    10. Tim Leung & Ronnie Sircar, 2009. "Accounting For Risk Aversion, Vesting, Job Termination Risk And Multiple Exercises In Valuation Of Employee Stock Options," Mathematical Finance, Wiley Blackwell, vol. 19(1), pages 99-128, January.
    11. Wang, Xingchun, 2018. "Valuing executive stock options under correlated employment shocks," Finance Research Letters, Elsevier, vol. 27(C), pages 38-45.
    12. Duan, Jin-Chuan & Wei, Jason, 2005. "Executive stock options and incentive effects due to systematic risk," Journal of Banking & Finance, Elsevier, vol. 29(5), pages 1185-1211, May.
    13. Zhiwei Su & Xingchun Wang, 2019. "Pricing executive stock options with averaging features under the Heston–Nandi GARCH model," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(9), pages 1056-1084, September.
    14. Gerald Garvey & Todd Milbourn, 2003. "Incentive Compensation When Executives Can Hedge the Market: Evidence of Relative Performance Evaluation in the Cross Section," Journal of Finance, American Finance Association, vol. 58(4), pages 1557-1582, August.
    15. J. Michael Harrison & Stanley R. Pliska, 1981. "Martingales and Stochastic Integrals in the Theory of Continous Trading," Discussion Papers 454, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    16. Jakša Cvitanić & Zvi Wiener & Fernando Zapatero, 2008. "Analytic Pricing of Employee Stock Options," Review of Financial Studies, Society for Financial Studies, vol. 21(2), pages 683-724, April.
    17. 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.
    18. Lambert, Ra & Larcker, Df & Verrecchia, Re, 1991. "Portfolio Considerations In Valuing Executive-Compensation," Journal of Accounting Research, Wiley Blackwell, vol. 29(1), pages 129-149.
    19. Ingolf Dittmann & Ernst Maug & Oliver G. Spalt, 2013. "Indexing Executive Compensation Contracts," Review of Financial Studies, Society for Financial Studies, vol. 26(12), pages 3182-3224.
    20. Kwangil Bae & Jangkoo Kang & Hwa‐Sung Kim, 2018. "Call options with concave payoffs: An application to executive stock options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 38(8), pages 943-957, August.
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    Cited by:

    1. Wang, Xingchun, 2021. "Valuation of options on the maximum of two prices with default risk under GARCH models," The North American Journal of Economics and Finance, Elsevier, vol. 57(C).
    2. Battauz, Anna & De Donno, Marzia & Sbuelz, Alessandro, 2022. "On the exercise of American quanto options," The North American Journal of Economics and Finance, Elsevier, vol. 62(C).

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    More about this item

    Keywords

    Incentive effects; Executive stock options; Options on the maximum; Options on the minimum;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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