IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_4602.html
   My bibliography  Save this paper

Credit Risk in General Equilibrium

Author

Listed:
  • Jürgen Eichberger
  • Klaus Rheinberger
  • Martin Summer

Abstract

This paper contributes to the literature on default in general equilibrium. Borrowing and lending takes place via a clearing house (bank) which monitors agents and enforces contracts. Our model develops a concept of bankruptcy equilibrium that is a direct generalization of the standard general equilibrium model with financial markets. Borrowers may default in equilibrium and returns on loans are determined endogenously. Restricted to a special form of mean variance preferences, we derive a version of the Capital Asset Pricing Model with bankruptcy. In this case we can characterize equilibrium prices and allocations and discuss implications for credit risk modeling.

Suggested Citation

  • Jürgen Eichberger & Klaus Rheinberger & Martin Summer, 2014. "Credit Risk in General Equilibrium," CESifo Working Paper Series 4602, CESifo.
    • Handle: RePEc:ces:ceswps:_4602
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp4602.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kocherlakota, Narayana, 2008. "Injecting rational bubbles," Journal of Economic Theory, Elsevier, vol. 142(1), pages 218-232, September.
    2. John Geanakoplos & William Zame, 2014. "Collateral equilibrium, I: a basic framework," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 443-492, August.
    3. Michael Magill & Martine Quinzii, 1997. "Which improves welfare more: A nominal or an indexed bond?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 1-37.
    4. repec:onb:oenbwp:y::i:49:b:1 is not listed on IDEAS
    5. Azariadis, Costas & Kaas, Leo, 2013. "Endogenous credit limits with small default costs," Journal of Economic Theory, Elsevier, vol. 148(2), pages 806-824.
    6. Jean-Pierre Zigrand & Hyun Song Shin & Jon Danielsson, 2010. "Risk Appetite and Endogenous Risk," FMG Discussion Papers dp647, Financial Markets Group.
    7. Grandmont,Jean-Michel, 1985. "Money and Value," Cambridge Books, Cambridge University Press, number 9780521313643.
    8. Christian Hellwig & Guido Lorenzoni, 2009. "Bubbles and Self-Enforcing Debt," Econometrica, Econometric Society, vol. 77(4), pages 1137-1164, July.
    9. Grandmont, Jean-Michel, 1993. "Temporary general equilibrium theory," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 19, pages 879-922, Elsevier.
    10. Peter Bossaerts & Charles Plott & William R. Zame, 2007. "Prices and Portfolio Choices in Financial Markets: Theory, Econometrics, Experiments," Econometrica, Econometric Society, vol. 75(4), pages 993-1038, July.
    11. Bloise, Gaetano & Reichlin, Pietro, 2011. "Asset prices, debt constraints and inefficiency," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1520-1546, July.
    12. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2005. "Default and Punishment in General Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 1-37, January.
    13. A. Araujo & M. R. Páscoa & P. K. Monteiro, 1997. "Incomplete markets, continuum of states and default," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 205-213.
    14. Zame, William R, 1993. "Efficiency and the Role of Default When Security Markets Are Incomplete," American Economic Review, American Economic Association, vol. 83(5), pages 1142-1164, December.
    15. Dana, Rose-Anne & Le Van, Cuong & Magnien, Francois, 1999. "On the Different Notions of Arbitrage and Existence of Equilibrium," Journal of Economic Theory, Elsevier, vol. 87(1), pages 169-193, July.
    16. Salvatore Modica & J.-Marc Tallon & Aldo Rustichini, 1998. "Unawareness and bankruptcy: A general equilibrium model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 259-292.
    17. Green, Jerry R, 1973. "Temporary General Equilibrium in a Sequential Trading Model with Spot and Futures Transactions," Econometrica, Econometric Society, vol. 41(6), pages 1103-1123, November.
    18. Helmut Elsinger & Martin Summer, 2001. "Arbitrage and Optimal Portfolio Choice with Financial Constraints," Working Papers 49, Oesterreichische Nationalbank (Austrian Central Bank).
    19. Aloisio Araujo & Paulo K. Monteiro & M´rio Rui P´ascoa, 1996. "Infinite Horizon Incomplete Markets With A Continuum Of States," Mathematical Finance, Wiley Blackwell, vol. 6(2), pages 119-132, April.
    20. Sato Norihisa, 2010. "Existence of Competitive Equilibrium in Unbounded Exchange Economies with Satiation: A Note," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-22, July.
    21. Mário R. Páscoa & Aloisio P. Araujo, 2002. "Bancruptcy in a model of unsecured claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(3), pages 455-481.
    22. Gyutaeg Oh, 1996. "Some Results in the CAPM with Nontraded Endowments," Management Science, INFORMS, vol. 42(2), pages 286-293, February.
    23. Martin Hellwig, 2010. "Capital Regulation after the Crisis: Business as Usual?," ifo DICE Report, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 8(02), pages 40-46, July.
    24. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
    25. Timothy J. Kehoe & David K. Levine, 1993. "Debt-Constrained Asset Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 865-888.
    26. Douglas W. Diamond, 1984. "Financial Intermediation and Delegated Monitoring," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(3), pages 393-414.
    27. 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.
    28. Shin, Hyun Song, 2010. "Risk and Liquidity," OUP Catalogue, Oxford University Press, number 9780199546367.
    29. Sato, Norihisa, 2010. "Satiation and existence of competitive equilibrium," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 534-551, July.
    30. Luttmer, Erzo G J, 1996. "Asset Pricing in Economies with Frictions," Econometrica, Econometric Society, vol. 64(6), pages 1439-1467, November.
    31. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    32. Werner, Jan, 1987. "Arbitrage and the Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1403-1418, November.
    33. repec:ces:ifodic:v:8:y:2010:i:2:p:14566986 is not listed on IDEAS
    34. Sabarwal Tarun, 2003. "Competitive Equilibria With Incomplete Markets and Endogenous Bankruptcy," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-42, January.
    35. Douglas Gale & Martin Hellwig, 1985. "Incentive-Compatible Debt Contracts: The One-Period Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(4), pages 647-663.
    36. Lars Tyge Nielsen, 1989. "Asset Market Equilibrium with Short-Selling," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(3), pages 467-473.
    37. repec:dau:papers:123456789/6228 is not listed on IDEAS
    38. Martin Hellwig, 2010. "Capital Regulation after the Crisis: Business as Usual?," ifo DICE Report, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 8(2), pages 40-46, 07.
    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. Florin Bidian & Camelia Bejan, 2015. "Martingale properties of self-enforcing debt," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 35-57, September.
    2. Nicolas Houy & Frédéric Jouneau & François Le Grand, 2020. "Defaulting firms and systemic risks in financial networks: a normative approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 503-526, September.
    3. Adam Dominiak & Ani Guerdjikova, 2021. "Special Issue on Ambiguity and Strategic Interactions in Honor of Jürgen Eichberger," Theory and Decision, Springer, vol. 90(3), pages 301-307, May.
    4. Deimante Teresiene & Beatrice Gudaviciute, 2021. "Counterparty risk management framework: theoretical approach in COVID-19 environment," Technium Social Sciences Journal, Technium Science, vol. 17(1), pages 184-193, March.

    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. repec:onb:oenbwp:y::i:172:b:1 is not listed on IDEAS
    2. Nicolas Houy & Frédéric Jouneau & François Le Grand, 2020. "Defaulting firms and systemic risks in financial networks: a normative approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 503-526, September.
    3. Wei Ma, 2015. "A Constructive Proof of the Existence of Collateral Equilibrium for a Two-Period Exchange Economy Based on a Smooth Interior-Point Path," Computational Economics, Springer;Society for Computational Economics, vol. 45(1), pages 1-30, January.
    4. Bloise, G. & Citanna, A., 2019. "Asset shortages, liquidity and speculative bubbles," Journal of Economic Theory, Elsevier, vol. 183(C), pages 952-990.
    5. Rubén Poblete-Cazenave & Juan Torres-Martínez, 2013. "Equilibrium with limited-recourse collateralized loans," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 181-211, May.
    6. Iraola, Miguel A. & Torres-Martínez, Juan Pablo, 2014. "Equilibrium in collateralized asset markets: Credit contractions and negative equity loans," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 113-122.
    7. Cuong Van & Frank Page & Myrna Wooders, 2007. "Risky arbitrage, asset prices, and externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(3), pages 475-491, December.
    8. Iraola, Miguel & Torres-Martínez, Juan Pablo, 2013. "Liquidity Contractions, Incomplete Financial Participation and the Prevalence of Negative Equity Non-recourse Loans," MPRA Paper 46838, University Library of Munich, Germany.
    9. Ha-Huy, Thai & Le Van, Cuong & Tran-Viet, Cuong, 2018. "Arbitrage and equilibrium in economies with short-selling and ambiguity," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 95-100.
    10. Felipe Martins-da-Rocha & Yiannis Vailakis, 2008. "Collateral, default penalties and almost finite-time solvency," Levine's Working Paper Archive 122247000000002049, David K. Levine.
    11. Bolton, Patrick & Li, Ye & Wang, Neng & Yang, Jinqiang, 2020. "Dynamic Banking and the Value of Deposits," Working Paper Series 2020-13, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
    12. Page, Frank Jr., 1996. "Arbitrage and asset prices," Mathematical Social Sciences, Elsevier, vol. 31(3), pages 183-208, June.
    13. Dana, R.A. & Le Van, C., 2010. "Overlapping risk adjusted sets of priors and the existence of efficient allocations and equilibria with short-selling," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2186-2202, November.
    14. Florin Bidian & Camelia Bejan, 2015. "Martingale properties of self-enforcing debt," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 35-57, September.
    15. Dana, Rose-Anne & Le Van, Cuong, 2000. "Arbitrage, duality and asset equilibria," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 397-413, November.
    16. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    17. Allouch, Nizar & Le Van, Cuong & Page, Frank Jr., 2002. "The geometry of arbitrage and the existence of competitive equilibrium," Journal of Mathematical Economics, Elsevier, vol. 38(4), pages 373-391, December.
    18. PageJr., Frank H. & Wooders, Myrna H. & Monteiro, Paulo K., 2000. "Inconsequential arbitrage," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 439-469, December.
    19. Li Gan & Tarun Sabarwal & Shuoxun Zhang, 2010. "Personal Bankruptcy: Reconciling Adverse Events and Strategic Timing Hypotheses Using Heterogeneity in Filing Types," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201008, University of Kansas, Department of Economics, revised May 2011.
    20. Allouch, Nizar & Le Van, Cuong & Page, Frank Jr., 2006. "Arbitrage and equilibrium in unbounded exchange economies with satiation," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 661-674, September.
    21. Allouch, Nizar & Van, Cuong Le & Page Jr. Frank H., 2002. "Arbitrage, Equilibrium And Nonsatiation," The Warwick Economics Research Paper Series (TWERPS) 637, University of Warwick, Department of Economics.

    More about this item

    Keywords

    financial markets equilibrium; bankruptcy;

    JEL classification:

    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

    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:ces:ceswps:_4602. 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: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.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.