[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
IDEAS home Printed from https://ideas.repec.org/p/fip/fedrwp/07-07.html
   My bibliography  Save this paper

Moral hazard and persistence

Author

Listed:
  • Hugo A. Hopenhayn
  • Arantxa Jarque
Abstract
We study a multiperiod principal-agent problem with moral hazard in which effort is persistent: the agent is required to exert effort only in the initial period of the contract, and this effort determines the conditional distribution of output in the following periods. We provide a characterization of the optimal dynamic compensation scheme. As in a static moral hazard problem, consumption ? regardless of time period ? is ranked according to likelihood ratios of output histories. As in most dynamic models with asymmetric information, the inverse of the marginal utility of consumption satisfies the martingale property derived in Rogerson (1985). Under the assumption of i.i.d. output we show that (i) incentives are concentrated in the later periods of the contract, implying an increase of the variance of compensation over time; (ii) the cost of implementing high effort decreases when there is an increase in either the duration or the intensity of persistence (i.e., how long and how strongly effort affects the distribution of output, respectively); and (iii) under infinite duration the cost gets arbitrarily close to that of the first best.

Suggested Citation

  • Hugo A. Hopenhayn & Arantxa Jarque, 2007. "Moral hazard and persistence," Working Paper 07-07, Federal Reserve Bank of Richmond.
    • Handle: RePEc:fip:fedrwp:07-07
    as

    Download full text from publisher

    File URL: http://www.richmondfed.org/publications/research/working_papers/2007/wp_07-7.cfm
    Download Restriction: no
    File URL: https://www.richmondfed.org/-/media/RichmondFedOrg/publications/research/working_papers/2007/pdf/wp07-7.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Wang, Cheng, 1997. "Incentives, CEO Compensation, and Shareholder Wealth in a Dynamic Agency Model," Journal of Economic Theory, Elsevier, vol. 76(1), pages 72-105, September.
    3. Shavell, Steven & Weiss, Laurence, 1979. "The Optimal Payment of Unemployment Insurance Benefits over Time," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1347-1362, December.
    4. Jarque, Arantxa, 2010. "Repeated moral hazard with effort persistence," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2412-2423, November.
    5. Toshihiko Mukoyama & Ayşegül Şahin, 2005. "Repeated moral hazard with persistence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(4), pages 831-854, June.
    6. Bengt Holmstrom, 1979. "Moral Hazard and Observability," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 74-91, Spring.
    7. Atkeson, Andrew, 1991. "International Lending with Moral Hazard and Risk of Repudiation," Econometrica, Econometric Society, vol. 59(4), pages 1069-1089, July.
    8. Grochulski, Borys & Piskorski, Tomasz, 2010. "Risky human capital and deferred capital income taxation," Journal of Economic Theory, Elsevier, vol. 145(3), pages 908-943, May.
    9. Fernandes, Ana & Phelan, Christopher, 2000. "A Recursive Formulation for Repeated Agency with History Dependence," Journal of Economic Theory, Elsevier, vol. 91(2), pages 223-247, April.
    10. Hopenhayn, Hugo A & Nicolini, Juan Pablo, 1997. "Optimal Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 412-438, April.
    11. Grossman, Sanford J & Hart, Oliver D, 1983. "An Analysis of the Principal-Agent Problem," Econometrica, Econometric Society, vol. 51(1), pages 7-45, January.
    12. Kim, Son Ku, 1995. "Efficiency of an Information System in an Agency Model," Econometrica, Econometric Society, vol. 63(1), pages 89-102, January.
    13. Illoong Kwon, 2006. "Incentives, wages, and promotions: theory and evidence," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 100-120, March.
    14. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
    15. Phelan Christopher, 1995. "Repeated Moral Hazard and One-Sided Commitment," Journal of Economic Theory, Elsevier, vol. 66(2), pages 488-506, August.
    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. Wang, Cheng, 1997. "Incentives, CEO Compensation, and Shareholder Wealth in a Dynamic Agency Model," Journal of Economic Theory, Elsevier, vol. 76(1), pages 72-105, September.
    2. , & ,, 2014. "Dynamic contracts when agent's quality is unknown," Theoretical Economics, Econometric Society, vol. 9(3), September.
    3. Jacek Rothert, 2015. "Monitoring, moral hazard, and turnover," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 355-374, February.

    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. Hugo Hopenhayn & Arantxa Jarque, 2010. "Unobservable Persistent Productivity and Long Term Contracts," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(2), pages 333-349, April.
    2. Jarque, Arantxa, 2010. "Repeated moral hazard with effort persistence," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2412-2423, November.
    3. 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.
    4. Abraham Arpad & Nicola Pavoni, 2004. "Efficient Allocations, with Moral Hazard and Hidden Borrowing and Lending," Levine's Bibliography 122247000000000138, UCLA Department of Economics.
    5. Ábrahám, Árpád & Koehne, Sebastian & Pavoni, Nicola, 2011. "On the first-order approach in principal-agent models with hidden borrowing and lending," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1331-1361, July.
    6. Arantxa Jarque, 2010. "Hidden effort, learning by doing, and wage dynamics," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 96(4Q), pages 339-372.
    7. Clementi, Gian Luca & Cooley, Thomas F. & Wang, Cheng, 2006. "Stock grants as a commitment device," Journal of Economic Dynamics and Control, Elsevier, vol. 30(11), pages 2191-2216, November.
    8. 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.
    9. Zhao, Rui R., 2007. "Dynamic risk-sharing with two-sided moral hazard," Journal of Economic Theory, Elsevier, vol. 136(1), pages 601-640, September.
    10. 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.
    11. Jacek Rothert, 2015. "Monitoring, moral hazard, and turnover," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 355-374, February.
    12. Koehne, Sebastian & Kuhn, Moritz, 2013. "Optimal capital taxation for time-nonseparable preferences," MPRA Paper 45203, University Library of Munich, Germany.
    13. Toshihiko Mukoyama & Ayşegül Şahin, 2005. "Repeated moral hazard with persistence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(4), pages 831-854, June.
    14. Christopher Phelan, 2006. "Opportunity and Social Mobility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(2), pages 487-504.
    15. Nicola Pavoni & G. L. Violante, 2007. "Optimal Welfare-to-Work Programs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(1), pages 283-318.
    16. Sebastian Koehne & Nicola Pavoni & Arpad Abraham, 2011. "Optimal Income Taxation with Asset Accumulation," 2011 Meeting Papers 1161, Society for Economic Dynamics.
    17. Nafziger, Julia, 2009. "Timing of information in agency problems with hidden actions," Journal of Mathematical Economics, Elsevier, vol. 45(11), pages 751-766, December.
    18. Amal Hili & Didier Laussel & Ngo Van Long, 2017. "Disentangling managerial incentives from a dynamic perspective: The role of stock grants," Pacific Economic Review, Wiley Blackwell, vol. 22(5), pages 743-771, December.
    19. Nicola Pavoni & Ofer Setty & Giovanni Violante, 2016. "The design of 'soft' welfare-to-work programs," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 160-180, April.
    20. Robert Shimer & Ivan Werning, 2008. "Liquidity and Insurance for the Unemployed," American Economic Review, American Economic Association, vol. 98(5), pages 1922-1942, December.

    More about this item

    Keywords

    Microeconomics;

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:fip:fedrwp:07-07. 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: Christian Pascasio (email available below). General contact details of provider: https://edirc.repec.org/data/frbrius.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.