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Ambiguity, limited commitment, and the q theory of investment

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Listed:
  • Wu, Wei
  • Niu, Yingjie
  • Wu, Yaoyao
  • Xu, Hongru

Abstract

We consider the principal (shareholders)-agent (manager) problem in connection with investment and CEO compensation under two types of limited commitment, where the principal worries about model uncertainty and exhibits ambiguity-averse with respect to the true probability. Consistent with maxmin criterion, a robust principal makes decisions under some endogenous worst case. In the case of limited commitment on the manager side, the firm invests less and average q and marginal q are always lowered in the presence of ambiguity. However, in the case of limited commitment on the shareholder side, ambiguity induces under-investment and over-investment simultaneously and has different implications for average q and marginal q. Moreover, the robust compensation contract features time-varying compensation no matter whether the limited commitment constraints bind or not, which is contrary to the conventional wisdom. Finally, the optimal sensitivity of continuation utility increases with ambiguity-aversion.

Suggested Citation

  • Wu, Wei & Niu, Yingjie & Wu, Yaoyao & Xu, Hongru, 2022. "Ambiguity, limited commitment, and the q theory of investment," The North American Journal of Economics and Finance, Elsevier, vol. 60(C).
  • Handle: RePEc:eee:ecofin:v:60:y:2022:i:c:s1062940822000018
    DOI: 10.1016/j.najef.2022.101639
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    References listed on IDEAS

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    1. Stewart C. Myers & Nicholas S. Majluf, 1984. "Corporate Financing and Investment Decisions When Firms Have InformationThat Investors Do Not Have," NBER Working Papers 1396, National Bureau of Economic Research, Inc.
    2. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Uncertainty," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 5, pages 145-154, World Scientific Publishing Co. Pte. Ltd..
    3. Myers, Stewart C. & Majluf, Nicholas S., 1984. "Corporate financing and investment decisions when firms have information that investors do not have," Journal of Financial Economics, Elsevier, vol. 13(2), pages 187-221, June.
    4. Jianjun Miao & Alejandro Rivera, 2016. "Robust Contracts in Continuous Time," Econometrica, Econometric Society, vol. 84, pages 1405-1440, July.
    5. Zengjing Chen & Larry Epstein, 2002. "Ambiguity, Risk, and Asset Returns in Continuous Time," Econometrica, Econometric Society, vol. 70(4), pages 1403-1443, July.
    6. Patrick Bolton & Neng Wang & Jinqiang Yang, 2019. "Optimal Contracting, Corporate Finance, and Valuation with Inalienable Human Capital," Journal of Finance, American Finance Association, vol. 74(3), pages 1363-1429, June.
    7. Jensen, Michael C, 1986. "Agency Costs of Free Cash Flow, Corporate Finance, and Takeovers," American Economic Review, American Economic Association, vol. 76(2), pages 323-329, May.
    8. Hengjie Ai & Dana Kiku & Rui Li & Jincheng Tong, 2021. "A Unified Model of Firm Dynamics with Limited Commitment and Assortative Matching," Journal of Finance, American Finance Association, vol. 76(1), pages 317-356, February.
    9. Peter M. Demarzo & Zhiguo He, 2021. "Leverage Dynamics without Commitment," Journal of Finance, American Finance Association, vol. 76(3), pages 1195-1250, June.
    10. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    11. 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.
    12. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "An Intertemporal General Equilibrium Model of Asset Prices," Econometrica, Econometric Society, vol. 53(2), pages 363-384, March.
    13. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    14. Peter M. Demarzo & Michael J. Fishman & Zhiguo He & Neng Wang, 2012. "Dynamic Agency and the q Theory of Investment," Journal of Finance, American Finance Association, vol. 67(6), pages 2295-2340, December.
    15. Peter Gottschalk, 2005. "Downward Nominal-Wage Flexibility: Real or Measurement Error?," The Review of Economics and Statistics, MIT Press, vol. 87(3), pages 556-568, August.
    16. Grochulski, Borys & Zhang, Yuzhe, 2011. "Optimal risk sharing and borrowing constraints in a continuous-time model with limited commitment," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2356-2388.
    17. Oliver Hart & John Moore, 1994. "A Theory of Debt Based on the Inalienability of Human Capital," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(4), pages 841-879.
    18. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    19. Wang, Chong & Wang, Neng & Yang, Jinqiang, 2012. "A unified model of entrepreneurship dynamics," Journal of Financial Economics, Elsevier, vol. 106(1), pages 1-23.
    20. Yaoyao Wu & Jinqiang Yang & Zhentao Zou, 2018. "Ambiguity sharing and the lack of relative performance evaluation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(1), pages 141-157, July.
    21. Pascal J. Maenhout, 2004. "Robust Portfolio Rules and Asset Pricing," The Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 951-983.
    22. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    23. Jones, Larry E. & Manuelli, Rodolfo E., 2005. "Neoclassical Models of Endogenous Growth: The Effects of Fiscal Policy, Innovation and Fluctuations," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 1, pages 13-65, Elsevier.
    24. Lars Peter Hansen & Thomas J Sargent, 2014. "A Quartet of Semigroups for Model Specification, Robustness, Prices of Risk, and Model Detection," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 4, pages 83-143, World Scientific Publishing Co. Pte. Ltd..
    25. Niu, Yingjie & Yang, Jinqiang & Zou, Zhentao, 2020. "Robust contracts with one-sided commitment," Journal of Economic Dynamics and Control, Elsevier, vol. 117(C).
    26. Ai, Hengjie & Li, Rui, 2015. "Investment and CEO compensation under limited commitment," Journal of Financial Economics, Elsevier, vol. 116(3), pages 452-472.
    27. Qi Liu & Lei Lu & Bo Sun, 2018. "Incentive contracting under ambiguity aversion," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 929-950, December.
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    More about this item

    Keywords

    Ambiguity; Limited commitment; Investment; Compensation;
    All these keywords.

    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • G3 - Financial Economics - - Corporate Finance and Governance

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