IDEAS home Printed from https://ideas.repec.org/a/oup/rfinst/v18y2005i3p1021-1073.html
   My bibliography  Save this article

Optimal Contracts Under Adverse Selection and Moral Hazard: A Continuous-Time Approach

Author

Listed:
  • Jaeyoung Sung

Abstract

This article presents a continuous-time agency model in the presence of adverse selection and moral hazard with a risk-averse agent and a risk-neutral principal. Under the model setup, we show that the optimal controls are constant over time, and thus the optimal menu consists of contracts that are linear in the final outcome. We also show that when a moral hazard problem adds to an adverse selection problem, the monotonicity condition well known in the pure adverse selection literature needs to be modified to ensure the incentive compatibility for information revelation. The model is applied to a few managerial compensation problems involving managerial project selection and capital budgeting decisions. We argue that in the third-best world, the relationship between the volatility of the outcome and the sensitivity of the contract depends on interactions between the managerial cost and the firm's production functions. Contrary to conventional wisdom, sometimes the higher the volatility, the higher the sensitivity of the contract. The firm receiving good news sometimes chooses safer projects or invests less than it does with bad news. We also examine the effects of the observability of the volatility on corporate investment decisions. Copyright 2005, Oxford University Press.

Suggested Citation

  • Jaeyoung Sung, 2005. "Optimal Contracts Under Adverse Selection and Moral Hazard: A Continuous-Time Approach," The Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 1021-1073.
  • Handle: RePEc:oup:rfinst:v:18:y:2005:i:3:p:1021-1073
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1093/rfs/hhi020
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
    3. 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.
    4. Demski, JS & Dye, RA, 1999. "Risk, return, and moral hazard," Journal of Accounting Research, Wiley Blackwell, vol. 37(1), pages 27-55.
    5. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-1190, September.
    6. Laffont, Jean-Jacques & Tirole, Jean, 1986. "Using Cost Observation to Regulate Firms," Journal of Political Economy, University of Chicago Press, vol. 94(3), pages 614-641, June.
    7. Darrough, Masako N & Stoughton, Neal M, 1986. "Moral Hazard and Adverse Selection: The Question of Financial Structure," Journal of Finance, American Finance Association, vol. 41(2), pages 501-513, June.
    8. Richard A. Lambert, 1986. "Executive Effort and Selection of Risky Projects," RAND Journal of Economics, The RAND Corporation, vol. 17(1), pages 77-88, Spring.
    9. Matthews, Steven A., 1983. "Selling to risk averse buyers with unobservable tastes," Journal of Economic Theory, Elsevier, vol. 30(2), pages 370-400, August.
    10. Schattler, Heinz & Sung, Jaeyoung, 1997. "On optimal sharing rules in discrete-and continuous-time principal-agent problems with exponential utility," Journal of Economic Dynamics and Control, Elsevier, vol. 21(2-3), pages 551-574.
    11. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    12. Picard, Pierre, 1987. "On the design of incentive schemes under moral hazard and adverse selection," Journal of Public Economics, Elsevier, vol. 33(3), pages 305-331, August.
    13. Bernardo, Antonio E. & Cai, Hongbin & Luo, Jiang, 2001. "Capital budgeting and compensation with asymmetric information and moral hazard," Journal of Financial Economics, Elsevier, vol. 61(3), pages 311-344, September.
    14. B. Caillaud & R. Guesnerie & P. Rey, 1992. "Noisy Observation in Adverse Selection Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(3), pages 595-615.
    15. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    16. J. A. Mirrlees, 1999. "The Theory of Moral Hazard and Unobservable Behaviour: Part I," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 3-21.
    17. Sung, Jaeyoung, 1997. "Corporate Insurance and Managerial Incentives," Journal of Economic Theory, Elsevier, vol. 74(2), pages 297-332, June.
    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. repec:adr:anecst:y:1990:i:18:p:07 is not listed on IDEAS
    20. Baron, David P, 1982. "A Model of the Demand for Investment Banking Advising and Distribution Services for New Issues," Journal of Finance, American Finance Association, vol. 37(4), pages 955-976, September.
    21. R. Preston McAfee & John McMillan, 1986. "Bidding for Contracts: A Principal-Agent Analysis," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 326-338, Autumn.
    22. DeMarzo, Peter M & Duffie, Darrell, 1995. "Corporate Incentives for Hedging and Hedge Accounting," The Review of Financial Studies, Society for Financial Studies, vol. 8(3), pages 743-771.
    23. 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.
    24. Rey, Patrick & Salanie, Bernard, 1996. "On the Value of Commitment with Asymmetric Information," Econometrica, Econometric Society, vol. 64(6), pages 1395-1414, November.
    25. Baron, David P & Holmstrom, Bengt, 1980. "The Investment Banking Contract for New Issues under Asymmetric Information: Delegation and the Incentive Problem," Journal of Finance, American Finance Association, vol. 35(5), pages 1115-1138, December.
    26. Peter S. Faynzilberg & Praveen Kumar, 2000. "original papers : On the generalized principal-agent problem: Decomposition and existence results," Review of Economic Design, Springer;Society for Economic Design, vol. 5(1), pages 23-58.
    27. Baron, D. P. & Holmström, B. R., 1980. "Abstract: The Investment Banking Contract for New Issues Under Asymmetric Information: Delegation and the Incentive Problem," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(4), pages 851-851, November.
    28. Bengt Holmstrom & Joan Ricart i Costa, 1986. "Managerial Incentives and Capital Management," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 835-860.
    29. 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.
    30. Bernard Salanié, 1990. "Sélection adverse et aversion pour le risque," Annals of Economics and Statistics, GENES, issue 18, pages 131-149.
    Full references (including those not matched with items on IDEAS)

    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. Nicolás Hernández Santibáñez & Dylan Possamaï & Chao Zhou, 2020. "Bank monitoring incentives under moral hazard and adverse selection," Post-Print hal-01435460, HAL.
    2. Nicol'as Hern'andez Santib'a~nez & Dylan Possamai & Chao Zhou, 2017. "Bank monitoring incentives under moral hazard and adverse selection," Papers 1701.05864, arXiv.org, revised Jan 2019.
    3. Nicolás Hernández Santibáñez & Dylan Possamaï & Chao Zhou, 2017. "Bank monitoring incentives under moral hazard and adverse selection," Working Papers hal-01435460, HAL.
    4. Romuald Elie & Dylan Possamai, 2016. "Contracting theory with competitive interacting agents," Papers 1605.08099, arXiv.org.
    5. Barlo, Mehmet & Özdog˜an, Ayça, 2014. "Optimality of linearity with collusion and renegotiation," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 46-52.
    6. Arup Bose & Debashis Pal & David E. M. Sappington, 2011. "On the Performance of Linear Contracts," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 20(1), pages 159-193, March.
    7. Thibaut Mastrolia & Dylan Possamai, 2015. "Moral hazard under ambiguity," Papers 1511.03616, arXiv.org, revised Oct 2016.
    8. Nadide Banu Olcay, 2016. "Dynamic incentive contracts with termination threats," Review of Economic Design, Springer;Society for Economic Design, vol. 20(4), pages 255-288, December.
    9. Noah Williams, 2004. "On Dynamic Principal-Agent Problems in Continuous Time," Levine's Bibliography 122247000000000426, UCLA Department of Economics.
    10. 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.
    11. Nahum D. Melumad, 1989. "Asymmetric information and the termination of contracts in agencies," Contemporary Accounting Research, John Wiley & Sons, vol. 5(2), pages 733-753, March.
    12. Jakv{s}a Cvitani'c & Dylan Possamai & Nizar Touzi, 2015. "Dynamic programming approach to principal-agent problems," Papers 1510.07111, arXiv.org, revised Jan 2017.
    13. Jessica Martin & Stéphane Villeneuve, 2023. "Risk-sharing and optimal contracts with large exogenous risks," Post-Print hal-04164688, HAL.
    14. Alex Edmans & Xavier Gabaix, 2011. "Tractability in Incentive Contracting," The Review of Financial Studies, Society for Financial Studies, vol. 24(9), pages 2865-2894.
    15. Malcomson James M, 2009. "Principal and Expert Agent," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-36, May.
    16. Raith, Michael, 2012. "Optimal incentives and the time dimension of performance measurement," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2158-2189.
    17. Fagart, Marie-Cécile & Fluet, Claude, 2013. "The first-order approach when the cost of effort is money," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 7-16.
    18. Christian At & Lionel Thomas, 2015. "Optimal Lending Contracts under both Adverse Selection and Moral Hazard," Post-Print halshs-01308331, HAL.
    19. Jessica Martin & Stéphane Villeneuve, 2023. "Risk-sharing and optimal contracts with large exogenous risks," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 46(1), pages 1-43, June.
    20. Nicolás Hernández Santibáñez & Dylan Possamaï & Chao Zhou, 2020. "Bank Monitoring Incentives Under Moral Hazard and Adverse Selection," Journal of Optimization Theory and Applications, Springer, vol. 184(3), pages 988-1035, March.

    More about this item

    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:oup:rfinst:v:18:y:2005:i:3:p:1021-1073. 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: Oxford University Press (email available below). General contact details of provider: https://edirc.repec.org/data/sfsssea.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.