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Bank monitoring incentives under moral hazard and adverse selection

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  • Nicol'as Hern'andez Santib'a~nez
  • Dylan Possamai
  • Chao Zhou

Abstract

In this paper, we extend the optimal securitisation model of Pag\`es [50] and Possama\"i and Pag\`es [51] between an investor and a bank to a setting allowing both moral hazard and adverse selection. Following the recent approach to these problems of Cvitani\'c, Wan and Yang [14], we characterise explicitly and rigorously the so-called credible set of the continuation and temptation values of the bank, and obtain the value function of the investor as well as the optimal contracts through a recursive system of first-order variational inequalities with gradient constraints. We provide a detailed discussion of the properties of the optimal menu of contracts.

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  • 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.
    • Handle: RePEc:arx:papers:1701.05864
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    1. 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.
    2. Bruno Jullien & Bernard Salanié & François Salanié, 2007. "Screening risk-averse agents under moral hazard: single-crossing and the CARA case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 151-169, January.
    3. 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.
    4. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
    5. 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.
    6. Theilen, Bernd, 2003. "Simultaneous moral hazard and adverse selection with risk averse agents," Economics Letters, Elsevier, vol. 79(2), pages 283-289, May.
    7. Melumad, Nahum D. & Reichelstein, Stefan, 1989. "Value of communication in agencies," Journal of Economic Theory, Elsevier, vol. 47(2), pages 334-368, April.
    8. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    9. 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.
    10. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
    11. Henri Pages & Dylan Possamaï, 2014. "A mathematical treatment of bank monitoring incentives," Finance and Stochastics, Springer, vol. 18(1), pages 39-73, January.
    12. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016064.
    13. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-1190, September.
    14. Tracy R. Lewis & David E.M. Sappington, 1995. "Optimal Capital Structure in Agency Relationships," RAND Journal of Economics, The RAND Corporation, vol. 26(3), pages 343-361, Autumn.
    15. Grossman, Sanford J & Hart, Oliver D, 1983. "An Analysis of the Principal-Agent Problem," Econometrica, Econometric Society, vol. 51(1), pages 7-45, January.
    16. Dionne, G. & Lasserre, P., 1985. "Dealing with Moral Hazard and Adverse Selection Simultaneously," Cahiers de recherche 8559, Universite de Montreal, Departement de sciences economiques.
    17. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107627314.
    18. 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.
    19. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
    20. Pagès, Henri, 2013. "Bank monitoring incentives and optimal ABS," Journal of Financial Intermediation, Elsevier, vol. 22(1), pages 30-54.
    21. 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.
    22. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016040.
    23. Roberts, Kevin W S, 1979. "Welfare Considerations of Nonlinear Pricing," Economic Journal, Royal Economic Society, vol. 89(353), pages 66-83, March.
    24. Guesnerie, Roger & Picard, Pierre & Rey, Patrick, 1989. "Adverse selection and moral hazard with risk neutral agents," European Economic Review, Elsevier, vol. 33(4), pages 807-823, April.
    25. 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.
    26. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107638105.
    27. Spence, Michael & Zeckhauser, Richard, 1971. "Insurance, Information, and Individual Action," American Economic Review, American Economic Association, vol. 61(2), pages 380-387, May.
    28. 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.
    29. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016057.
    30. Guesnerie, Roger & Laffont, Jean-Jacques, 1984. "A complete solution to a class of principal-agent problems with an application to the control of a self-managed firm," Journal of Public Economics, Elsevier, vol. 25(3), pages 329-369, December.
    31. Martin L. Weitzman, 1976. "The New Soviet Incentive Model," Bell Journal of Economics, The RAND Corporation, vol. 7(1), pages 251-257, Spring.
    32. A. Michael Spence, 1980. "Multi-Product Quantity-Dependent Prices and Profitability Constraints," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(5), pages 821-841.
    33. 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.
    34. 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.
    35. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107674165.
    36. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    37. Jakša Cvitanić & Xuhu Wan & Huali Yang, 2013. "Dynamics of Contract Design with Screening," Management Science, INFORMS, vol. 59(5), pages 1229-1244, May.
    38. James A. Mirrlees, 1976. "The Optimal Structure of Incentives and Authority Within an Organization," Bell Journal of Economics, The RAND Corporation, vol. 7(1), pages 105-131, Spring.
    39. David P. Baron & David Besanko, 1987. "Monitoring, Moral Hazard, Asymmetric Information, and Risk Sharing in Procurement Contracting," RAND Journal of Economics, The RAND Corporation, vol. 18(4), pages 509-532, Winter.
    40. 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.
    41. Baron, David P & Besanko, David, 1988. " Monitoring of Performance in Organizational Contracting: The Case of Defense Procurement," Scandinavian Journal of Economics, Wiley Blackwell, vol. 90(3), pages 329-356.
    42. Zeckhauser, Richard, 1970. "Medical insurance: A case study of the tradeoff between risk spreading and appropriate incentives," Journal of Economic Theory, Elsevier, vol. 2(1), pages 10-26, March.
    43. Mirrlees, James A., 1972. "Population policy and the taxation of family size," Journal of Public Economics, Elsevier, vol. 1(2), pages 169-198, August.
    44. Page, F H, Jr, 1991. "Optimal Contract Mechanisms for Principal-Agent Problems with Moral Hazard and Adverse Selection," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(4), pages 323-338, October.
    45. 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.
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    1. Cl'emence Alasseur & Ivar Ekeland & Romuald Elie & Nicol'as Hern'andez Santib'a~nez & Dylan Possamai, 2017. "An adverse selection approach to power pricing," Papers 1706.01934, arXiv.org, revised Sep 2019.

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