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Call options with concave payoffs: An application to executive stock options

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  • Kwangil Bae
  • Jangkoo Kang
  • Hwa‐Sung Kim

Abstract

We observe that the incentive effects of traditional stock options can be improved by making the option's payoff concave in the region of a high stock price at maturity. To reflect the concave property, we propose two types of executive stock options: a generalized power option and an ordinary bull spread. Under the [Hall and Murphy (): American Economic Review 209‐214, Hall and Murphy () Journal of Accounting and Economics 33: 3‐42] framework, we show that the generalized power option with high concavity and the ordinary bull spread generate greater incentive effects than those of traditional options or the [Bernard, Boyle, and Chen (): The Journal of Derivatives 23: 9‐20] power executive options.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:jfutmk:v:38:y:2018:i:8:p:943-957
    DOI: 10.1002/fut.21924
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    References listed on IDEAS

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    1. Hall, Brian J. & Murphy, Kevin J., 2002. "Stock options for undiversified executives," Journal of Accounting and Economics, Elsevier, vol. 33(1), pages 3-42, February.
    2. 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.
    3. 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.
    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. Minqiang Li, 2008. "The impact of return nonnormality on exchange options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 28(9), pages 845-870, September.
    6. Feng‐Yu Liao & Yuh‐Dauh Lyuu, 2009. "An expanded model for the valuation of employee stock options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 29(8), pages 713-735, August.
    7. Carpenter, Jennifer N., 1998. "The exercise and valuation of executive stock options," Journal of Financial Economics, Elsevier, vol. 48(2), pages 127-158, May.
    8. Brian J. Hall & Kevin J. Murphy, 2003. "The Trouble with Stock Options," NBER Working Papers 9784, National Bureau of Economic Research, Inc.
    9. Gurdip Bakshi & Nikunj Kapadia & Dilip Madan, 2003. "Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options," The Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 101-143.
    10. Kevin J. Murphy & Brian J. Hall, 2000. "Optimal Exercise Prices for Executive Stock Options," American Economic Review, American Economic Association, vol. 90(2), pages 209-214, May.
    11. 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.
    12. Jakša Cvitanić & Zvi Wiener & Fernando Zapatero, 2008. "Analytic Pricing of Employee Stock Options," The Review of Financial Studies, Society for Financial Studies, vol. 21(2), pages 683-724, April.
    13. 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.
    14. 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.
    15. 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.
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    Cited by:

    1. 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).

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