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Risk-incentive trade-off in moral hazard with risk management: Theoretical analysis and empirical verification

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  • Dou, Zheng
  • Lai, Chong

Abstract

This study incorporates risk management into a continuous-time principal–agent model based on moral hazard, analyzing how risk and incentives interact when preferences are risk-sensitive. We focus on how principal adjust compensation, comprising performance pay, risk penalties, and basic salaries, to incentivize agents under hidden information. Our findings confirm the classic negative trade-off between risk and incentives, alongside a novel positive relationship between risk and risk–penalty sensitivity. In high-risk environments, the principal frequently seeks out more skilled agents and offer them greater incentives, thus disrupting the relationship between risk and compensation sensitivities. Our empirical analysis underscores the significance of adaptive compensation strategies in improving agent behavior in the face of escalating risks, supporting these theoretical predictions. These insights underline the potential for refining incentive structures to better align with varying levels of firm risk.

Suggested Citation

  • Dou, Zheng & Lai, Chong, 2025. "Risk-incentive trade-off in moral hazard with risk management: Theoretical analysis and empirical verification," Economic Modelling, Elsevier, vol. 148(C).
  • Handle: RePEc:eee:ecmode:v:148:y:2025:i:c:s0264999325000781
    DOI: 10.1016/j.econmod.2025.107083
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    1. Jakša Cvitanić & Dylan Possamaï & Nizar Touzi, 2018. "Dynamic programming approach to principal–agent problems," Finance and Stochastics, Springer, vol. 22(1), pages 1-37, January.
    2. Oyer, Paul & Schaefer, Scott, 2005. "Why do some firms give stock options to all employees?: An empirical examination of alternative theories," Journal of Financial Economics, Elsevier, vol. 76(1), pages 99-133, April.
    3. Rajesh K. Aggarwal & Andrew A. Samwick, 1999. "The Other Side of the Trade-off: The Impact of Risk on Executive Compensation," Journal of Political Economy, University of Chicago Press, vol. 107(1), pages 65-105, February.
    4. Martin F. Hellwig & Klaus M. Schmidt, 2002. "Discrete-Time Approximations of the Holmstrom-Milgrom Brownian-Motion Model of Intertemporal Incentive Provision," Econometrica, Econometric Society, vol. 70(6), pages 2225-2264, November.
    5. Thiele, Veikko, 2010. "Task-specific abilities in multi-task principal-agent relationships," Labour Economics, Elsevier, vol. 17(4), pages 690-698, August.
    6. Zhiguo He & Bin Wei & Jianfeng Yu & Feng Gao, 2017. "Optimal Long-Term Contracting with Learning," The Review of Financial Studies, Society for Financial Studies, vol. 30(6), pages 2006-2065.
    7. Zhiguo He & Si Li & Bin Wei & Jianfeng Yu, 2014. "Uncertainty, Risk, and Incentives: Theory and Evidence," Management Science, INFORMS, vol. 60(1), pages 206-226, January.
    8. Sung, Jaeyoung, 1997. "Corporate Insurance and Managerial Incentives," Journal of Economic Theory, Elsevier, vol. 74(2), pages 297-332, June.
    9. Core, John & Guay, Wayne, 1999. "The use of equity grants to manage optimal equity incentive levels," Journal of Accounting and Economics, Elsevier, vol. 28(2), pages 151-184, December.
    10. Ernst Fehr & Klaus M. Schmidt, 2004. "Fairness and Incentives in a Multi‐task Principal–Agent Model," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(3), pages 453-474, October.
    11. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    12. Machado, José A.F. & Santos Silva, J.M.C., 2019. "Quantiles via moments," Journal of Econometrics, Elsevier, vol. 213(1), pages 145-173.
    13. Tak-Yuen Wong, 2019. "Dynamic Agency and Endogenous Risk-Taking," Management Science, INFORMS, vol. 65(9), pages 4032-4048, September.
    14. Lin Peng & Ailsa Röell, 2014. "Managerial Incentives and Stock Price Manipulation," Journal of Finance, American Finance Association, vol. 69(2), pages 487-526, April.
    15. Yiqing Lin & Zhenjie Ren & Nizar Touzi & Junjian Yang, 2020. "Random horizon principal-agent problems," Papers 2002.10982, arXiv.org, revised Feb 2022.
    16. Sun, Yang & Zhao, Wei, 2024. "Relative performance evaluation in spillover networks," Games and Economic Behavior, Elsevier, vol. 145(C), pages 285-311.
    17. Holmstrom, Bengt & Milgrom, Paul, 1991. "Multitask Principal-Agent Analyses: Incentive Contracts, Asset Ownership, and Job Design," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 7(0), pages 24-52, Special I.
    18. Boubakri, Narjess & Cosset, Jean-Claude & Saffar, Walid, 2013. "The role of state and foreign owners in corporate risk-taking: Evidence from privatization," Journal of Financial Economics, Elsevier, vol. 108(3), pages 641-658.
    19. Yao, Wenyun & Sang, Yadi & Shen, Yongjian & Han, Pengfei, 2020. "Performance sensitivity of non-executive compensation in China: The role of economic policy uncertainty," Economic Modelling, Elsevier, vol. 93(C), pages 310-320.
    20. Canice Prendergast, 2002. "The Tenuous Trade-off between Risk and Incentives," Journal of Political Economy, University of Chicago Press, vol. 110(5), pages 1071-1102, October.
    21. Jaeyoung Sung, 1995. "Linearity with Project Selection and Controllable Diffusion Rate in Continuous-Time Principal-Agent Problems," RAND Journal of Economics, The RAND Corporation, vol. 26(4), pages 720-743, Winter.
    22. Jakša Cvitanić & Dylan Possamaï & Nizar Touzi, 2017. "Moral Hazard in Dynamic Risk Management," Management Science, INFORMS, vol. 63(10), pages 3328-3346, October.
    23. Mara Faccio & Maria-Teresa Marchica & Roberto Mura, 2011. "Large Shareholder Diversification and Corporate Risk-Taking," The Review of Financial Studies, Society for Financial Studies, vol. 24(11), pages 3601-3641.
    24. Cvitanić, Jakša & Xing, Hao, 2018. "Asset pricing under optimal contracts," Journal of Economic Theory, Elsevier, vol. 173(C), pages 142-180.
    25. Jensen, Michael C & Murphy, Kevin J, 1990. "Performance Pay and Top-Management Incentives," Journal of Political Economy, University of Chicago Press, vol. 98(2), pages 225-264, April.
    26. Williams, Noah, 2015. "A solvable continuous time dynamic principal–agent model," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 989-1015.
    27. Alex Edmans & Xavier Gabaix, 2011. "The Effect of Risk on the CEO Market," The Review of Financial Studies, Society for Financial Studies, vol. 24(8), pages 2822-2863.
    28. Emma Hubert, 2023. "Continuous-time incentives in hierarchies," Finance and Stochastics, Springer, vol. 27(3), pages 605-661, July.
    29. Rajesh K. Aggarwal & Andrew A. Samwick, 2003. "Performance Incentives within Firms: The Effect of Managerial Responsibility," Journal of Finance, American Finance Association, vol. 58(4), pages 1613-1650, August.
    30. Demougin, Dominique & Helm, Carsten, 2023. "Overwhelmed by routine tasks: A multitasking principal agent perspective," Journal of Economic Behavior & Organization, Elsevier, vol. 216(C), pages 654-669.
    31. Michael C. Jensen & Kevin J. Murphy, 2010. "CEO Incentives—It's Not How Much You Pay, But How," Journal of Applied Corporate Finance, Morgan Stanley, vol. 22(1), pages 64-76, January.
    32. li, Hong & Mu, Congming & Yang, Jinqiang, 2016. "Optimal contract theory with time-inconsistent preferences," Economic Modelling, Elsevier, vol. 52(PB), pages 519-530.
    33. Kose John & Lubomir Litov & Bernard Yeung, 2008. "Corporate Governance and Risk‐Taking," Journal of Finance, American Finance Association, vol. 63(4), pages 1679-1728, August.
    34. Hengjie Ai & Dana Kiku & Rui Li & Stijn Van, 2023. "A Quantitative Model of Dynamic Moral Hazard," The Review of Financial Studies, Society for Financial Studies, vol. 36(4), pages 1408-1463.
    35. Jaeyoung Sung, 2022. "Optimal contracting under mean-volatility joint ambiguity uncertainties," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(2), pages 593-642, September.
    36. Hui Ou-Yang, 2003. "Optimal Contracts in a Continuous-Time Delegated Portfolio Management Problem," The Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 173-208.
    37. Yuliy Sannikov, 2008. "A Continuous-Time Version of the Principal-Agent Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 957-984.
    38. Palia, Darius, 2001. "The Endogeneity of Managerial Compensation in Firm Valuation: A Solution," The Review of Financial Studies, Society for Financial Studies, vol. 14(3), pages 735-764.
    39. 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.
    40. Kou, Zonglai & Tang, Yue & Wu, Hong & Zhou, Min, 2023. "Ownership, volatility, and equity incentives: Theory and evidence from listed companies in China," Economic Modelling, Elsevier, vol. 128(C).
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    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • M52 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Personnel Economics - - - Compensation and Compensation Methods and Their Effects

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