IDEAS home Printed from https://ideas.repec.org/p/red/sed007/230.html
   My bibliography  Save this paper

A Continuous-Time Analysis of Optimal Debt Contracts: Theory and Applications

Author

Listed:
  • Hisashi Nakamura

    (University of Tokyo)

Abstract

This paper presents a new approach for modeling an optimal debt contract. It examines a competitive contract design in a continuous-time environment with Markov income shocks and costly verifiable information. It shows that an ex ante optimal contract has the form of a debt contract that permits a debtor’s ex post strategic default. From a viewpoint of creditors, the equilibrium expected default probability is characterized by an exponential distribution, in which the mean arrival rate of default is decreasing in verification costs. When human capital of verification technology is endogenously accumulated, the technology process can be procyclical in equilibirum.

Suggested Citation

  • Hisashi Nakamura, 2007. "A Continuous-Time Analysis of Optimal Debt Contracts: Theory and Applications," 2007 Meeting Papers 230, Society for Economic Dynamics.
  • Handle: RePEc:red:sed007:230
    as

    Download full text from publisher

    File URL: https://red-files-public.s3.amazonaws.com/meetpapers/2007/paper_230.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hisashi Nakamura, 2006. "A Dynamic Theory of Debt Restructuring," CIRJE F-Series CIRJE-F-433, CIRJE, Faculty of Economics, University of Tokyo.
    2. YiLi Chien & Hanno Lustig, 2010. "The Market Price of Aggregate Risk and the Wealth Distribution," The Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1596-1650, April.
    3. Duffee, Gregory R, 1999. "Estimating the Price of Default Risk," The Review of Financial Studies, Society for Financial Studies, vol. 12(1), pages 197-226.
    4. Oliver Hart & John Moore, 1998. "Default and Renegotiation: A Dynamic Model of Debt," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(1), pages 1-41.
    5. Bolton, Patrick & Scharfstein, David S, 1990. "A Theory of Predation Based on Agency Problems in Financial Contracting," American Economic Review, American Economic Association, vol. 80(1), pages 93-106, March.
    6. Noah Williams, 2004. "On Dynamic Principal-Agent Problems in Continuous Time," Levine's Bibliography 122247000000000426, UCLA Department of Economics.
    7. Simon, Leo K & Stinchcombe, Maxwell B, 1989. "Extensive Form Games in Continuous Time: Pure Strategies," Econometrica, Econometric Society, vol. 57(5), pages 1171-1214, September.
    8. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    9. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-1372, September.
    10. Darrell Duffie & Lasse Heje Pedersen & Kenneth J. Singleton, 2003. "Modeling Sovereign Yield Spreads: A Case Study of Russian Debt," Journal of Finance, American Finance Association, vol. 58(1), pages 119-159, February.
    11. Bernanke, Ben S. & Gertler, Mark & Gilchrist, Simon, 1999. "The financial accelerator in a quantitative business cycle framework," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 21, pages 1341-1393, Elsevier.
    12. Sergei A. Davydenko & Ilya A. Strebulaev, 2007. "Strategic Actions and Credit Spreads: An Empirical Investigation," Journal of Finance, American Finance Association, vol. 62(6), pages 2633-2671, December.
    13. Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409, World Scientific Publishing Co. Pte. Ltd..
    14. Andrew T. Levin & Fabio M. Natalucci & Egon Zakrajšek, 2004. "The magnitude and cyclical behavior of financial market frictions," Finance and Economics Discussion Series 2004-70, Board of Governors of the Federal Reserve System (U.S.).
    15. 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.
    16. He, Hua, 1990. "Convergence from Discrete- to Continuous-Time Contingent Claims Prices," The Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 523-546.
    17. Fan, Hua & Sundaresan, Suresh M, 2000. "Debt Valuation, Renegotiation, and Optimal Dividend Policy," The Review of Financial Studies, Society for Financial Studies, vol. 13(4), pages 1057-1099.
    18. Cheng Wang, 2005. "Dynamic costly state verification," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(4), pages 887-916, June.
    19. Oliver Hart & John Moore, 1994. "A Theory of Debt Based on the Inalienability of Human Capital," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(4), pages 841-879.
    20. Drew Fudenberg & Jean Tirole, 1985. "Preemption and Rent Equalization in the Adoption of New Technology," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(3), pages 383-401.
    21. Townsend, Robert M., 1979. "Optimal contracts and competitive markets with costly state verification," Journal of Economic Theory, Elsevier, vol. 21(2), pages 265-293, October.
    22. Hisashi Nakamura, 2006. "A Dynamic Theory of Debt Restructuring," CARF F-Series CARF-F-072, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    23. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    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. Hisashi Nakamura, 2007. "Strategic Default Jump as Impulse Control in Continuous Time ( Revised in February 2008 )," CARF F-Series CARF-F-115, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    2. Hisashi Nakamura, 2007. "Strategic Default Jump as Impulse Control in Continuous Time," CIRJE F-Series CIRJE-F-532, CIRJE, Faculty of Economics, University of Tokyo.
    3. Adriano A. Rampini, 2019. "Financing Durable Assets," American Economic Review, American Economic Association, vol. 109(2), pages 664-701, February.
    4. Langberg, Nisan, 2008. "Optimal financing for growth firms," Journal of Financial Intermediation, Elsevier, vol. 17(3), pages 379-406, July.
    5. 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.
    6. Kim, Gi H., 2016. "Credit derivatives as a commitment device: Evidence from the cost of corporate debt," Journal of Banking & Finance, Elsevier, vol. 73(C), pages 67-83.
    7. Hisashi Nakamura, 2012. "A Continuous-Time Analysis of Optimal Restructuring of Contracts with Costly Information Disclosure," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 19(2), pages 119-147, May.
    8. Fluck, Zsuzsanna, 1999. "The Dynamics of the Management-Shareholder Conflict," The Review of Financial Studies, Society for Financial Studies, vol. 12(2), pages 379-404.
    9. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    10. Vladimir Asriyan, 2014. "Balance sheet recessions with informational and trading frictions," Economics Working Papers 1463, Department of Economics and Business, Universitat Pompeu Fabra, revised Oct 2018.
    11. Cleary, Sean & Povel, Paul & Raith, Michael, 2007. "The U-Shaped Investment Curve: Theory and Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 42(1), pages 1-39, March.
    12. Duffie, Darrell, 2003. "Intertemporal asset pricing theory," 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 11, pages 639-742, Elsevier.
    13. Makoto Goto & Teruyoshi Suzuki, 2015. "Optimal default and liquidation with tangible assets and debt renegotiation," Review of Financial Economics, John Wiley & Sons, vol. 27(1), pages 16-27, November.
    14. Dessi, Roberta & Robertson, Donald, 2000. "Debt, incentives and performance: evidence from UK panel data," LSE Research Online Documents on Economics 119107, London School of Economics and Political Science, LSE Library.
    15. Goto, Makoto & Suzuki, Teruyoshi, 2015. "Optimal default and liquidation with tangible assets and debt renegotiation," Review of Financial Economics, Elsevier, vol. 27(C), pages 16-27.
    16. Mathias Dewatripont & Patrick Legros & Steven A. Matthews, 2003. "Moral Hazard and Capital Structure Dynamics," Journal of the European Economic Association, MIT Press, vol. 1(4), pages 890-930, June.
    17. Committee, Nobel Prize, 2016. "Oliver Hart and Bengt Holmström: Contract Theory," Nobel Prize in Economics documents 2016-1, Nobel Prize Committee.
    18. Meisenzahl, Ralf R., 2014. "Verifying the state of financing constraints: Evidence from U.S. business credit contracts," Journal of Economic Dynamics and Control, Elsevier, vol. 43(C), pages 58-77.
    19. Stijn Claessens & M Ayhan Kose, 2018. "Frontiers of macrofinancial linkages," BIS Papers, Bank for International Settlements, number 95.
    20. Oliver Hart, 2001. "Financial Contracting," Journal of Economic Literature, American Economic Association, vol. 39(4), pages 1079-1100, December.

    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:red:sed007:230. 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 Zimmermann (email available below). General contact details of provider: https://edirc.repec.org/data/sedddea.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.