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Contracting with discretionary bonuses

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Listed:
  • Guillermo Alonso Alvarez
  • Ibrahim Ekren
  • Liwei Huang

Abstract

We study a continuous time contracting model in which a principal hires a risk averse agent to manage a project over a finite horizon and provides sequential payments whose timing is endogenously determined. The resulting nonzero-sum interaction between the principal and the agent is reformulated as a mixed control and stopping problem. Using numerical simulations, we investigate how factors such as the relative impatience of the parties and the number of bonus payments influence the principal's value and the structure of the optimal bonus payment scheme. A notable finding is that, in some contractual environments, the principal optimally offers a sign-on bonus to front-load incentives.

Suggested Citation

  • Guillermo Alonso Alvarez & Ibrahim Ekren & Liwei Huang, 2025. "Contracting with discretionary bonuses," Papers 2511.23424, arXiv.org.
    • Handle: RePEc:arx:papers:2511.23424
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    References listed on IDEAS

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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. Alex Edmans & Xavier Gabaix & Tomasz Sadzik & Yuliy Sannikov, 2012. "Dynamic CEO Compensation," Journal of Finance, American Finance Association, vol. 67(5), pages 1603-1647, October.
    3. Xu, Jin & Yang, Jun, 2016. "Golden hellos: Signing bonuses for new top executives," Journal of Financial Economics, Elsevier, vol. 122(1), pages 175-195.
    4. Stefano Baccarin & Daniele Marazzina, 2013. "Portfolio Optimization over a Finite Horizon with Fixed and Proportional Transaction Costs and Liquidity Constraints," Working papers 017, Department of Economics, Social Studies, Applied Mathematics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    5. Bruno Bouchard & Marcel Nutz, 2011. "Weak Dynamic Programming for Generalized State Constraints," Papers 1105.0745, arXiv.org, revised Oct 2012.
    6. Shan, Yaping, 2019. "Incentives for research agents and performance-vested equity-based compensation," Journal of Economic Dynamics and Control, Elsevier, vol. 102(C), pages 44-69.
    7. Dylan Possamaï & Chiara Rossato, 2025. "Golden parachutes under the threat of accidents," Mathematical Finance, Wiley Blackwell, vol. 35(2), pages 337-421, April.
    8. 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.
    9. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    10. Florian Hoffmann & Roman Inderst & Marcus Opp, 2021. "Only Time Will Tell: A Theory of Deferred Compensation [Motivating Innovation in Newly Public Firms]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(3), pages 1253-1278.
    11. Maestri, Lucas, 2014. "The efficiency of bonus-or-terminate incentive schemes under subjective evaluations," Games and Economic Behavior, Elsevier, vol. 87(C), pages 412-418.
    12. Jokivuolle, Esa & Keppo, Jussi, 2014. "Bankers' compensation: Sprint swimming in short bonus pools?," Bank of Finland Research Discussion Papers 2/2014, Bank of Finland.
    13. Edward Dickersin Van Wesep, 2010. "Pay (Be)for(e) Performance: The Signing Bonus as an Incentive Device," The Review of Financial Studies, Society for Financial Studies, vol. 23(10), pages 3812-3848, October.
    14. 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.
    15. Jokivuolle, Esa & Keppo, Jussi, 2014. "Bankers' compensation: : Sprint swimming in short bonus pools?," Research Discussion Papers 2/2014, Bank of Finland.
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