IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/80867.html
   My bibliography  Save this paper

The Impact of Firm Size on Dynamic Incentives and Investment

Author

Listed:
  • Chi, Chang Koo
  • Choi, Kyoung Jin

Abstract

Recent studies conclude that small firms have higher but more variable growth rates than large firms. To explore how this empirical regularity affects moral hazard and investment, we develop an agency model with a firm size process having two features: the drift is controlled by the agent's effort and the principal's investment decision, and the volatility is proportional to the square root of size. The firm improves on production efficiency as it grows, and wages are back-loaded when size is small but front-loaded when it is large. Furthermore, there is underinvestment in a small firm but overinvestment in a large firm.

Suggested Citation

  • Chi, Chang Koo & Choi, Kyoung Jin, 2016. "The Impact of Firm Size on Dynamic Incentives and Investment," MPRA Paper 80867, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:80867
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/80867/1/MPRA_paper_80867.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fudenberg, Drew & Holmstrom, Bengt & Milgrom, Paul, 1990. "Short-term contracts and long-term agency relationships," Journal of Economic Theory, Elsevier, vol. 51(1), pages 1-31, June.
    2. Xavier Gabaix & Augustin Landier, 2008. "Why has CEO Pay Increased So Much?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(1), pages 49-100.
    3. Gian Luca Clementi & Thomas Cooley & Sonia Di Giannatale, 2010. "A Theory of Firm Decline," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(4), pages 861-885, October.
    4. Rui Albuquerue & Neng Wang, 2008. "Agency Conflicts, Investment, and Asset Pricing," Journal of Finance, American Finance Association, vol. 63(1), pages 1-40, February.
    5. Giulio Bottazzi & Alex Coad & Nadia Jacoby & Angelo Secchi, 2011. "Corporate growth and industrial dynamics: evidence from French manufacturing," Applied Economics, Taylor & Francis Journals, vol. 43(1), pages 103-116.
    6. Peter M. DeMarzo & Michael J. Fishman, 2007. "Optimal Long-Term Financial Contracting," The Review of Financial Studies, Society for Financial Studies, vol. 20(6), pages 2079-2128, November.
    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. Gian Luca Clementi & Hugo A. Hopenhayn, 2006. "A Theory of Financing Constraints and Firm Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(1), pages 229-265.
    9. Thomas F. Cooley & Vincenzo Quadrini, 2001. "Financial Markets and Firm Dynamics," American Economic Review, American Economic Association, vol. 91(5), pages 1286-1310, December.
    10. G.M. Constantinides & M. Harris & R. M. Stulz (ed.), 2003. "Handbook of the Economics of Finance," Handbook of the Economics of Finance, Elsevier, edition 1, volume 1, number 1.
    11. George P. Baker & Brian J. Hall, 2004. "CEO Incentives and Firm Size," Journal of Labor Economics, University of Chicago Press, vol. 22(4), pages 767-798, October.
    12. 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.
    13. Gibbons, Robert & Murphy, Kevin J, 1992. "Optimal Incentive Contracts in the Presence of Career Concerns: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 468-505, June.
    14. James Dow & Gary Gorton & Arvind Krishnamurthy, 2005. "Equilibrium Investment and Asset Prices under Imperfect Corporate Control," American Economic Review, American Economic Association, vol. 95(3), pages 659-681, June.
    15. 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.
    16. Bruno Biais & Thomas Mariotti & Jean-Charles Rochet & StÈphane Villeneuve, 2010. "Large Risks, Limited Liability, and Dynamic Moral Hazard," Econometrica, Econometric Society, vol. 78(1), pages 73-118, January.
    17. Stephen Hymer & Peter Pashigian, 1962. "Firm Size and Rate of Growth," Journal of Political Economy, University of Chicago Press, vol. 70, pages 556-556.
    18. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    19. Zhiguo He, 2009. "Optimal Executive Compensation when Firm Size Follows Geometric Brownian Motion," The Review of Financial Studies, Society for Financial Studies, vol. 22(2), pages 859-892, February.
    20. Radner, Roy, 1985. "Repeated Principal-Agent Games with Discounting," Econometrica, Econometric Society, vol. 53(5), pages 1173-1198, September.
    21. G.M. Constantinides & M. Harris & R. M. Stulz (ed.), 2003. "Handbook of the Economics of Finance," Handbook of the Economics of Finance, Elsevier, edition 1, volume 1, number 2.
    22. Rui Albuquerque & Hugo A. Hopenhayn, 2004. "Optimal Lending Contracts and Firm Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(2), pages 285-315.
    23. Evans, David S, 1987. "Tests of Alternative Theories of Firm Growth," Journal of Political Economy, University of Chicago Press, vol. 95(4), pages 657-674, August.
    24. O. Ashenfelter & D. Card (ed.), 1999. "Handbook of Labor Economics," Handbook of Labor Economics, Elsevier, edition 1, volume 3, number 3.
    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. Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(4), pages 599-617.
    27. PETER M. DeMARZO & YULIY SANNIKOV, 2006. "Optimal Security Design and Dynamic Capital Structure in a Continuous‐Time Agency Model," Journal of Finance, American Finance Association, vol. 61(6), pages 2681-2724, December.
    28. 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.
    29. Hall, Bronwyn H, 1987. "The Relationship between Firm Size and Firm Growth in the U.S. Manufacturing Sector," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 583-606, June.
    30. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
    31. Stein, Jeremy C., 2003. "Agency, information and corporate investment," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 2, pages 111-165, Elsevier.
    32. Alex Edmans & Xavier Gabaix & Augustin Landier, 2009. "A Multiplicative Model of Optimal CEO Incentives in Market Equilibrium," The Review of Financial Studies, Society for Financial Studies, vol. 22(12), pages 4881-4917, December.
    33. Ai, Hengjie & Li, Rui, 2015. "Investment and CEO compensation under limited commitment," Journal of Financial Economics, Elsevier, vol. 116(3), pages 452-472.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chong Lai & Rui Li & Yonghong Wu, 2020. "Optimal compensation and investment affected by firm size and time-varying external factors," Annals of Finance, Springer, vol. 16(3), pages 407-422, September.
    2. Rui Li & Mengying Wang, 2020. "Moral Hazard, Agency Cost, and Firm Growth," International Review of Finance, International Review of Finance Ltd., vol. 20(3), pages 639-664, September.
    3. Wu, Xi & Wang, Yudong & Tong, Xinle, 2021. "Cash holdings and oil price uncertainty exposures," Energy Economics, Elsevier, vol. 99(C).
    4. Paulo Aguiar do Monte, 2019. "Effort Level by Firm Size in a Developing Country," The Indian Journal of Labour Economics, Springer;The Indian Society of Labour Economics (ISLE), vol. 62(1), pages 73-87, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. He, Zhiguo, 2011. "A model of dynamic compensation and capital structure," Journal of Financial Economics, Elsevier, vol. 100(2), pages 351-366, May.
    2. 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.
    3. Patrick Bolton & Neng Wang & Jinqiang Yang, 2016. "Liquidity and Risk Management: Coordinating Investment and Compensation Policies," 2016 Meeting Papers 1703, Society for Economic Dynamics.
    4. Golosov, M. & Tsyvinski, A. & Werquin, N., 2016. "Recursive Contracts and Endogenously Incomplete Markets," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 725-841, Elsevier.
    5. Anderson, Ronald W. & Bustamante, Maria Cecilia & Guibaud, Stéphane & Zervos, Mihail, 2018. "Agency, firm growth, and managerial turnover," LSE Research Online Documents on Economics 68784, London School of Economics and Political Science, LSE Library.
    6. Morellec, Erwan & Gryglewicz, Sebastian & Mayer, Simon, 2018. "Agency Conflicts over the Short and Long Run: Short-termism, Long-termism, and Pay-for-Luck," CEPR Discussion Papers 12720, C.E.P.R. Discussion Papers.
    7. Chong Lai & Rui Li & Yonghong Wu, 2020. "Optimal compensation and investment affected by firm size and time-varying external factors," Annals of Finance, Springer, vol. 16(3), pages 407-422, September.
    8. Jianjun Miao & Alejandro Rivera, 2016. "Robust Contracts in Continuous Time," Econometrica, Econometric Society, vol. 84, pages 1405-1440, July.
    9. Gabaix, Xavier & Sannikov, Yuliy & Edmans, Alex & Sadzik, Tomasz, 2009. "Dynamic Incentive Accounts," CEPR Discussion Papers 7497, C.E.P.R. Discussion Papers.
    10. Zhiguo He & Bin Wei & Jianfeng Yu & Feng Gao, 2017. "Optimal Long-Term Contracting with Learning," Review of Financial Studies, Society for Financial Studies, vol. 30(6), pages 2006-2065.
    11. Eduardo Abi Jaber & Stéphane Villeneuve, 2022. "Gaussian Agency problems with memory and Linear Contracts," Working Papers hal-03783062, HAL.
    12. Szydlowski, Martin & Yoon, Ji Hee, 2022. "Ambiguity in dynamic contracts," Journal of Economic Theory, Elsevier, vol. 199(C).
    13. Garrett, Daniel F. & Pavan, Alessandro, 2015. "Dynamic managerial compensation: A variational approach," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 775-818.
    14. Villeneuve, Stéphane & Abi Jaber, Eduardo, 2022. "Gaussian Agency problems with memory and Linear Contracts," TSE Working Papers 22-1363, Toulouse School of Economics (TSE).
    15. Eduardo Abi Jaber & Stéphane Villeneuve, 2022. "Gaussian Agency problems with memory and Linear Contracts," Post-Print hal-03783062, HAL.
    16. Eduardo Abi Jaber & St'ephane Villeneuve, 2022. "Gaussian Agency problems with memory and Linear Contracts," Papers 2209.10878, arXiv.org.
    17. Hengjie Ai & Rui Li, 2012. "Moral hazard, investment, and firm dynamics," FRB Atlanta CQER Working Paper 2012-01, Federal Reserve Bank of Atlanta.
    18. Giat, Yahel & Subramanian, Ajay, 2013. "Dynamic contracting under imperfect public information and asymmetric beliefs," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2833-2861.
    19. Rui Li & Dana Kiku & Hengjie Ai, 2014. "A Mechanism Design Model of Firm Dynamics: The Case of Limited Commitment," 2014 Meeting Papers 855, Society for Economic Dynamics.
    20. Ronald Anderson & Cecilia Bustamante & Stéphane Guibaud & Mihail Zervos, 2018. "Agency, Firm Growth, and Managerial Turnover," Post-Print hal-03391936, HAL.

    More about this item

    Keywords

    Time-Varying Firm Size; Size-Dependence Regularity; Firm Size Effect; Dynamic Moral Hazard; Investment;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:80867. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.