A mathematical treatment of bank monitoring incentives
In this paper, we take up the analysis of a principal/agent model with moral hazard introduced by Pages (J. Financ. Intermed.), with optimal contracting between competitive investors and an impatient bank monitoring a pool of long-term loans subject to Markovian contagion. We provide here a comprehensive mathematical formulation of the model and show, using martingale arguments in the spirit of Sannikov (Rev. Econ. Stud. 75:957–984, 2008), how the maximization problem with implicit constraints faced by investors can be reduced to a classical stochastic control problem. The approach has the advantage of avoiding the more general techniques based on forward-backward stochastic differential equations described by Cvitanić and Zhang (Contract Theory in Continuous Time Models, 2012) and leads to a simple recursive system of Hamilton–Jacobi–Bellman equations. We provide a solution to our problem by a verification argument and give an explicit description of both the value function and the optimal contract. Finally, we study the limit case where the bank is no longer impatient. Copyright Springer-Verlag Berlin Heidelberg 2014
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Volume (Year): 18 (2014)
Issue (Month): 1 (January)
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- Bruno Biais & Thomas Mariotti & Jean-Charles Rochet & StÈphane Villeneuve, 2010.
"Large Risks, Limited Liability, and Dynamic Moral Hazard,"
Econometric Society, vol. 78(1), pages 73-118, 01.
- Biais, Bruno & Mariotti, Thomas & Rochet, Jean-Charles & Villeneuve, Stéphane, 2007. "Large Risks, Limited Liability and Dynamic Moral Hazard," IDEI Working Papers 472, Institut d'Économie Industrielle (IDEI), Toulouse, revised Sep 2009.
- Bruno Biais & Thomas Mariotti & Jean-Charles Rochet & Stéphane Villeneuve, 2010. "Large risks, limited liability, and dynamic moral hazard," Post-Print halshs-00491470, HAL.
- Dilip Abreu & Paul Milgrom & David Pearce, 1997.
"Information and timing in repeated partnerships,"
Levine's Working Paper Archive
636, David K. Levine.
- Pagès, H., 2009.
"Bank incentives and optimal CDOs,"
253, Banque de France.
- Adam B. Ashcraft & Til Schuermann, 2008.
"Understanding the securitization of subprime mortgage credit,"
318, Federal Reserve Bank of New York.
- Ashcraft, Adam B. & Schuermann, Til, 2008. "Understanding the Securitization of Subprime Mortgage Credit," Foundations and Trends(R) in Finance, now publishers, vol. 2(3), pages 191-309, June.
- Bruno Biais & Thomas Mariotti & Guillaume Plantin & Jean-Charles Rochet, 2007.
"Dynamic Security Design: Convergence to Continuous Time and Asset Pricing Implications,"
Review of Economic Studies,
Oxford University Press, vol. 74(2), pages 345-390.
- Biais, Bruno & Mariotti, Thomas & Plantin, Guillaume & Rochet, Jean-Charles, 2004. "Dynamic Security Design: Convergence to Continuous Time and Asset Pricing Implications," IDEI Working Papers 312, Institut d'Économie Industrielle (IDEI), Toulouse, revised Sep 2006.
- Fan Yu, 2007. "Correlated Defaults In Intensity-Based Models," Mathematical Finance, Wiley Blackwell, vol. 17(2), pages 155-173.
- Rüdiger Frey & Jochen Backhaus, 2008. "Pricing And Hedging Of Portfolio Credit Derivatives With Interacting Default Intensities," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 11(06), pages 611-634.
- Robert A. Jarrow & Fan Yu, 2008.
"Counterparty Risk and the Pricing of Defaultable Securities,"
World Scientific Book Chapters,
in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 20, pages 481-515
World Scientific Publishing Co. Pte. Ltd..
- Robert A. Jarrow, 2001. "Counterparty Risk and the Pricing of Defaultable Securities," Journal of Finance, American Finance Association, vol. 56(5), pages 1765-1799, October.
- M. Davis & V. Lo, 2001. "Infectious defaults," Quantitative Finance, Taylor & Francis Journals, vol. 1(4), pages 382-387.
- Skrzypacz, Andrzej & Sannikov, Yuliy, 2005.
"Impossibility of Collusion under Imperfect Monitoring with Flexible Production,"
1887, Stanford University, Graduate School of Business.
- Yuliy Sannikov & Andrzej Skrzypacz, 2007. "Impossibility of Collusion under Imperfect Monitoring with Flexible Production," American Economic Review, American Economic Association, vol. 97(5), pages 1794-1823, December.
- Yuliy Sannikov & Andrzej Skrzypacz, 2004. "Impossibility of Collusion under Imperfect Monitoring with Flexible Production," 2004 Meeting Papers 418, Society for Economic Dynamics.
- 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.
- Biais, Bruno & Mariotti, Thomas & Plantin, Guillaume & Rochet, Jean-Charles, 2004.
"Dynamic Security Design,"
CEPR Discussion Papers
4753, C.E.P.R. Discussion Papers.
- Yuliy Sannikov, 2008. "A Continuous-Time Version of the Principal-Agent Problem," Review of Economic Studies, Oxford University Press, vol. 75(3), pages 957-984.
- Yacine Aït-Sahalia & Julio Cacho-Diaz & Roger J.A. Laeven, 2010.
"Modeling Financial Contagion Using Mutually Exciting Jump Processes,"
NBER Working Papers
15850, National Bureau of Economic Research, Inc.
- Aït-Sahalia, Yacine & Cacho-Diaz, Julio & Laeven, Roger J.A., 2015. "Modeling financial contagion using mutually exciting jump processes," Journal of Financial Economics, Elsevier, vol. 117(3), pages 585-606.
- Pagès, Henri, 2013.
"Bank monitoring incentives and optimal ABS,"
Journal of Financial Intermediation,
Elsevier, vol. 22(1), pages 30-54.
- Yuliy Sannikov & Andrzej Skrzypacz, 2010.
"The Role of Information in Repeated Games With Frequent Actions,"
Econometric Society, vol. 78(3), pages 847-882, 05.
- Yuliy Sannikov & Andrzej Skrzypacz, 2006. "The role of information in repeated games with frequent actions," 2006 Meeting Papers 871, Society for Economic Dynamics.
- Peter M. DeMarzo & Michael J. Fishman, 2007. "Agency and Optimal Investment Dynamics," Review of Financial Studies, Society for Financial Studies, vol. 20(1), pages 151-188, January.
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