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Compensation Convexity without Utility Restriction

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  • Jiong Gong
  • Ping Jiang
  • Xiaochuan Xing

Abstract

We develop an optimal contract model on the use of stock options for chief executive officer compensation under the Mirrlees–Rogerson moral hazard framework. We find that convexity, as know as, the use of stock options, can arise with a broader range of agent utility functions than allowed by Hemmer et al. (). We characterise the necessary conditions regarding the behaviour of the agent's marginal risk tolerance for both the concavity and convexity cases of the likelihood‐ratio function. We find stock options need to be used more intensively, when the agent displays a higher marginal risk tolerance and when the realised task output is higher.

Suggested Citation

  • Jiong Gong & Ping Jiang & Xiaochuan Xing, 2018. "Compensation Convexity without Utility Restriction," Australian Economic Papers, Wiley Blackwell, vol. 57(3), pages 238-249, September.
    • Handle: RePEc:bla:ausecp:v:57:y:2018:i:3:p:238-249
    DOI: 10.1111/1467-8454.12129
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    1. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
    2. Dag Morten Dalen & Espen R. Moen, 2012. "Ownership and Cost-Sharing Contracts," Australian Economic Papers, Wiley Blackwell, vol. 51(3), pages 134-146, September.
    3. Baomin Dong & Guixia Guo & Frank Yong Wang, 2013. "Dynamic Moral Hazard and Executive Stock Options," Pacific Economic Review, Wiley Blackwell, vol. 18(2), pages 259-279, May.
    4. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    5. Ingolf Dittmann & Ernst Maug, 2007. "Lower Salaries and No Options? On the Optimal Structure of Executive Pay," Journal of Finance, American Finance Association, vol. 62(1), pages 303-343, February.
    6. Levon Barseghyan & Francesca Molinari & Ted O'Donoghue & Joshua C. Teitelbaum, 2018. "Estimating Risk Preferences in the Field," Journal of Economic Literature, American Economic Association, vol. 56(2), pages 501-564, June.
    7. DeFusco, Richard A & Johnson, Robert R & Zorn, Thomas S, 1990. "The Effect of Executive Stock Option Plans on Stockholders and Bondholders," Journal of Finance, American Finance Association, vol. 45(2), pages 617-627, June.
    8. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    9. Xiaokai Yang & Yeong-Nan Yeh, 2006. "Endogenous Specialisation And Endogenous Principal-Agent Relationship," World Scientific Book Chapters, in: Christis Tombazos & Xiaokai Yang (ed.), Inframarginal Contributions To Development Economics, chapter 13, pages 329-361, World Scientific Publishing Co. Pte. Ltd..
    10. Tzioumis, Konstantinos, 2008. "Why do firms adopt CEO stock options? Evidence from the United States," Journal of Economic Behavior & Organization, Elsevier, vol. 68(1), pages 100-111, October.
    11. Tufano, Peter, 1996. "Who Manages Risk? An Empirical Examination of Risk Management Practices in the Gold Mining Industry," Journal of Finance, American Finance Association, vol. 51(4), pages 1097-1137, September.
    12. Ingolf Dittmann & Ernst Maug & Oliver Spalt, 2010. "Sticks or Carrots? Optimal CEO Compensation when Managers Are Loss Averse," Journal of Finance, American Finance Association, vol. 65(6), pages 2015-2050, December.
    13. Marco LiCalzi & Sandrine Spaeter, 2003. "Distributions for the first-order approach to principal-agent problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(1), pages 167-173, January.
    14. Stamatios Tsigos & Kevin Daly, 2016. "“Fair go” for all? Wealth and Risk Aversion of Australian Households," Australian Economic Papers, Wiley Blackwell, vol. 55(3), pages 274-300, September.
    15. Stephen A. Ross, 1976. "Options and Efficiency," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(1), pages 75-89.
    16. Bengt Holmstrom, 1979. "Moral Hazard and Observability," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 74-91, Spring.
    17. A. Rashad Abdel-Khalik, 2014. "CEO Risk Preference and Investing in R&D," Abacus, Accounting Foundation, University of Sydney, vol. 50(3), pages 245-278, September.
    18. Jung, Jin Yong & Kim, Son Ku, 2015. "Information space conditions for the first-order approach in agency problems," Journal of Economic Theory, Elsevier, vol. 160(C), pages 243-279.
    19. Patrice Loisel, 2013. "Can CDFC and MLRP Conditions Be Both Satisfied for a Given Distribution?," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 7(3), pages 135-145, November.
    20. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-1190, September.
    21. HOLMSTROM, Bengt, 1979. "Moral hazard and observability," LIDAM Reprints CORE 379, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    22. Spaeter, S., 1998. "The Principal-Agent Relationship: Two Distributions Satisfying MLRP and CDFC," Ecole des Hautes Etudes Commerciales de Montreal- 98-11, Ecole des Hautes Etudes Commerciales de Montreal-Chaire de gestion des risques..
    23. Rajgopal, Shivaram & Shevlin, Terry, 2002. "Empirical evidence on the relation between stock option compensation and risk taking," Journal of Accounting and Economics, Elsevier, vol. 33(2), pages 145-171, June.
    24. J. A. Mirrlees, 1999. "The Theory of Moral Hazard and Unobservable Behaviour: Part I," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 3-21.
    25. Coles, Jeffrey L. & Daniel, Naveen D. & Naveen, Lalitha, 2006. "Managerial incentives and risk-taking," Journal of Financial Economics, Elsevier, vol. 79(2), pages 431-468, February.
    26. Xiangkang Yin, 2003. "The Strategic Choice Of Managers And Managerial Discretion," Australian Economic Papers, Wiley Blackwell, vol. 42(4), pages 373-385, December.
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