IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/halshs-00587679.html
   My bibliography  Save this paper

Incomplete markets, liquidation risk and the term structure of interest rates

Author

Listed:
  • Edouard Challe

    (DRM - Dauphine Recherches en Management - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

  • François Le Grand

    (PJSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Xavier Ragot

    (PJSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

We construct a general equilibrium model with incomplete markets and borrowing constraints, in order to study the term structure of real interest rates. Agents are subject to both aggregate and idiosyncratic income shocks, which latter may force them into early portfolio liquidation whilst in recession. We derive a closed-form equilibrium with limited agents heterogeneity (despite market incompleteness), which allows us to derive analytical expressions for bond prices and returns at any maturity. The desirability of bonds as liquidity makes the aggregate bond demand downward-sloping. One consequence of this is that a larger bond supply raises both the level and the slope of the yield curve.

Suggested Citation

  • Edouard Challe & François Le Grand & Xavier Ragot, 2007. "Incomplete markets, liquidation risk and the term structure of interest rates," Working Papers halshs-00587679, HAL.
  • Handle: RePEc:hal:wpaper:halshs-00587679
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00587679
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00587679/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Dimitri Vayanos & Pierre‐Olivier Weill, 2008. "A Search‐Based Theory of the On‐the‐Run Phenomenon," Journal of Finance, American Finance Association, vol. 63(3), pages 1361-1398, June.
    2. Den Haan, Wouter J, 1996. "Heterogeneity, Aggregate Uncertainty, and the Short-Term Interest Rate," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 399-411, October.
    3. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    4. Constantinides, George M & Duffie, Darrell, 1996. "Asset Pricing with Heterogeneous Consumers," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 219-240, April.
    5. Arvind Krishnamurthy & Annette Vissing-Jorgensen, 2012. "The Aggregate Demand for Treasury Debt," Journal of Political Economy, University of Chicago Press, vol. 120(2), pages 233-267.
    6. Fleming, Michael J, 2002. "Are Larger Treasury Issues More Liquid? Evidence from Bill Reopenings," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 34(3), pages 707-735, August.
    7. Christopher D. Carroll & Karen E. Dynan & Spencer D. Krane, 2003. "Unemployment Risk and Precautionary Wealth: Evidence from Households' Balance Sheets," The Review of Economics and Statistics, MIT Press, vol. 85(3), pages 586-604, August.
    8. Markus K. Brunnermeier & Lasse Heje Pedersen, 2009. "Market Liquidity and Funding Liquidity," The Review of Financial Studies, Society for Financial Studies, vol. 22(6), pages 2201-2238, June.
    9. Krueger, Dirk & Lustig, Hanno, 2010. "When is market incompleteness irrelevant for the price of aggregate risk (and when is it not)?," Journal of Economic Theory, Elsevier, vol. 145(1), pages 1-41, January.
    10. Dimitri Vayanos & Jean‐Luc Vila, 2021. "A Preferred‐Habitat Model of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 89(1), pages 77-112, January.
    11. Bengt Holmström & Jean Tirole, 2001. "LAPM: A Liquidity‐Based Asset Pricing Model," Journal of Finance, American Finance Association, vol. 56(5), pages 1837-1867, October.
    12. Emmanuel Farhi & Jean Tirole, 2008. "Competing Liquidities: Corporate Securities, Real Bonds and Bubbles," NBER Working Papers 13955, National Bureau of Economic Research, Inc.
    13. Nickell, Stephen & Nunziata, Luca & Ochel, Wolfgang & Quintini, Glenda, 2001. "The Beveridge curve, unemployment and wages in the OECD from the 1960s to the 1990s - preliminary version," LSE Research Online Documents on Economics 20113, London School of Economics and Political Science, LSE Library.
    14. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    15. Marco Pagano, 1989. "Endogenous Market Thinness and Stock Price Volatility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(2), pages 269-287.
    16. Krusell, Per & Smith, Anthony A., 1997. "Income And Wealth Heterogeneity, Portfolio Choice, And Equilibrium Asset Returns," Macroeconomic Dynamics, Cambridge University Press, vol. 1(2), pages 387-422, June.
    17. Hamilton, James D & Kim, Dong Heon, 2002. "A Reexamination of the Predictability of Economic Activity Using the Yield Spread," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 34(2), pages 340-360, May.
    18. Jonathan Heathcote, 2005. "Fiscal Policy with Heterogeneous Agents and Incomplete Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(1), pages 161-188.
    19. Kehoe, Timothy J & Levine, David K, 2001. "Liquidity Constrained Markets versus Debt Constrained Markets," Econometrica, Econometric Society, vol. 69(3), pages 575-598, May.
    20. Aiyagari, S. Rao & McGrattan, Ellen R., 1998. "The optimum quantity of debt," Journal of Monetary Economics, Elsevier, vol. 42(3), pages 447-469, October.
    21. Weil, Philippe, 1992. "Equilibrium asset prices with undiversifiable labor income risk," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 769-790.
    22. Darrell Duffie, 2012. "Over-The-Counter Markets," Introductory Chapters, in: Dark Markets: Asset Pricing and Information Transmission in Over-the-Counter Markets, Princeton University Press.
    23. Bengt Holmstrom & Jean Tirole, 1998. "Private and Public Supply of Liquidity," Journal of Political Economy, University of Chicago Press, vol. 106(1), pages 1-40, February.
    24. Duffee, Gregory R, 1996. "Idiosyncratic Variation of Treasury Bill Yields," Journal of Finance, American Finance Association, vol. 51(2), pages 527-551, June.
    25. Heaton, John & Lucas, Deborah, 1992. "The effects of incomplete insurance markets and trading costs in a consumption-based asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 601-620.
    26. Jonathan A. Parker, 2001. "The Consumption Risk of the Stock Market," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 32(2), pages 279-348.
    27. Stéphane Guibaud & Yves Nosbusch & Dimitri Vayanos, 2013. "Bond Market Clienteles, the Yield Curve, and the Optimal Maturity Structure of Government Debt," The Review of Financial Studies, Society for Financial Studies, vol. 26(8), pages 1914-1961.
    28. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    29. Mankiw, N. Gregory, 1986. "The equity premium and the concentration of aggregate shocks," Journal of Financial Economics, Elsevier, vol. 17(1), pages 211-219, September.
    30. Krueger, Dirk & Perri, Fabrizio, 2011. "Public versus private risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 920-956, May.
    31. Chowdhry, Bhagwan & Nanda, Vikram, 1998. "Leverage and Market Stability: The Role of Margin Rules and Price Limits," The Journal of Business, University of Chicago Press, vol. 71(2), pages 179-210, April.
    32. repec:bla:jfinan:v:59:y:2004:i:6:p:2959-3004 is not listed on IDEAS
    33. Ricardo Lagos & Guillaume Rocheteau, 2007. "Search in Asset Markets: Market Structure, Liquidity, and Welfare," American Economic Review, American Economic Association, vol. 97(2), pages 198-202, May.
    34. Gale, William G. & Orszag, Peter R., 2003. "Economic Effects of Sustained Budget Deficits," National Tax Journal, National Tax Association;National Tax Journal, vol. 56(3), pages 463-485, September.
    35. Thomas Laubach, 2009. "New Evidence on the Interest Rate Effects of Budget Deficits and Debt," Journal of the European Economic Association, MIT Press, vol. 7(4), pages 858-885, June.
    36. Donaldson, John B. & Johnsen, Thore & Mehra, Rajnish, 1990. "On the term structure of interest rates," Journal of Economic Dynamics and Control, Elsevier, vol. 14(3-4), pages 571-596, October.
    37. Krusell, Per & Mukoyama, Toshihiko & Smith Jr., Anthony A., 2011. "Asset prices in a Huggett economy," Journal of Economic Theory, Elsevier, vol. 146(3), pages 812-844, May.
    38. 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.
    39. Heaton, John & Lucas, Deborah J, 1996. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 443-487, June.
    40. Engen, Eric M. & Gruber, Jonathan, 2001. "Unemployment insurance and precautionary saving," Journal of Monetary Economics, Elsevier, vol. 47(3), pages 545-579, June.
    41. Francis A. Longstaff, 2004. "The Flight-to-Liquidity Premium in U.S. Treasury Bond Prices," The Journal of Business, University of Chicago Press, vol. 77(3), pages 511-526, July.
    42. Ang, Andrew & Piazzesi, Monika, 2003. "A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 745-787, May.
    43. Fernando Alvarez & Urban J. Jermann, 2000. "Efficiency, Equilibrium, and Asset Pricing with Risk of Default," Econometrica, Econometric Society, vol. 68(4), pages 775-798, July.
    44. Vincent Reinhart & Brian Sack, 2000. "The Economic Consequences of Disappearing Government Debt," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 31(2), pages 163-220.
    45. John Y. Campbell & Robert J. Shiller, 1991. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 495-514.
    46. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    47. Weil, Philippe, 1989. "Overlapping families of infinitely-lived agents," Journal of Public Economics, Elsevier, vol. 38(2), pages 183-198, March.
    48. Francisco Gomes & Alexander Michaelides, 2008. "Asset Pricing with Limited Risk Sharing and Heterogeneous Agents," The Review of Financial Studies, Society for Financial Studies, vol. 21(1), pages 415-448, January.
    49. Eric M. Engen & R. Glenn Hubbard, 2005. "Federal Government Debt and Interest Rates," NBER Chapters, in: NBER Macroeconomics Annual 2004, Volume 19, pages 83-160, National Bureau of Economic Research, Inc.
    50. R. Glenn Hubbard & Eric M. Engen, 2004. "Federal Government Debt and Interest Rates," AEI Economics Working Papers 50018, American Enterprise Institute.
    51. Amihud, Yakov & Mendelson, Haim, 1991. "Liquidity, Maturity, and the Yields on U.S. Treasury Securities," Journal of Finance, American Finance Association, vol. 46(4), pages 1411-1425, September.
    52. Annette Vissing-Jørgensen & Orazio P. Attanasio, 2003. "Stock-Market Participation, Intertemporal Substitution, and Risk-Aversion," American Economic Review, American Economic Association, vol. 93(2), pages 383-391, May.
    53. Jegadeesh, Narasimhan, 2002. "Comment on Are Larger Treasury Issues More Liquid? Evidence from Bill Reopenings," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 34(3), pages 736-739, August.
    54. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
    55. Scheinkman, Jose A & Weiss, Laurence, 1986. "Borrowing Constraints and Aggregate Economic Activity," Econometrica, Econometric Society, vol. 54(1), pages 23-45, January.
    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. Seppala, Juha, 2004. "The term structure of real interest rates: theory and evidence from UK index-linked bonds," Journal of Monetary Economics, Elsevier, vol. 51(7), pages 1509-1549, October.
    2. Krueger, Dirk & Lustig, Hanno, 2010. "When is market incompleteness irrelevant for the price of aggregate risk (and when is it not)?," Journal of Economic Theory, Elsevier, vol. 145(1), pages 1-41, January.
    3. Domeij, David & Ellingsen, Tore, 2015. "Rational Bubbles and Economic Crises: A Quantitative Analysis," SSE Working Paper Series in Economics 2015:1, Stockholm School of Economics.
    4. Favilukis, Jack, 2013. "Inequality, stock market participation, and the equity premium," Journal of Financial Economics, Elsevier, vol. 107(3), pages 740-759.
    5. Edouard Challe & Xavier Ragot, 2007. "Public spending shocks in a liquidity-constrained economy," PSE Working Papers halshs-00587686, HAL.
    6. Krusell, Per & Mukoyama, Toshihiko & Smith Jr., Anthony A., 2011. "Asset prices in a Huggett economy," Journal of Economic Theory, Elsevier, vol. 146(3), pages 812-844, May.
    7. Harenberg, Daniel, 2018. "Asset pricing in OLG economies with borrowing constraints and idiosyncratic income risk," SAFE Working Paper Series 229, Leibniz Institute for Financial Research SAFE.
    8. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2009. "Quantitative Macroeconomics with Heterogeneous Households," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 319-354, May.
    9. Kjetil Storesletten & Chris Telmer & Amir Yaron, 2007. "Asset Pricing with Idiosyncratic Risk and Overlapping Generations," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(4), pages 519-548, October.
    10. Seppälä, Juha, 2000. "The term structure of real interest rates: Theory and evidence form UK index-linked bonds," Bank of Finland Research Discussion Papers 22/2000, Bank of Finland.
    11. Bayer, Christian & Born, Benjamin & Luetticke, Ralph, 2023. "The liquidity channel of fiscal policy," Journal of Monetary Economics, Elsevier, vol. 134(C), pages 86-117.
    12. Markus K. Brunnermeier & Thomas M. Eisenbach & Yuliy Sannikov, 2012. "Macroeconomics with Financial Frictions: A Survey," Levine's Working Paper Archive 786969000000000384, David K. Levine.
    13. repec:zbw:bofrdp:2000_022 is not listed on IDEAS
    14. Cochrane, John H., 2005. "Financial Markets and the Real Economy," Foundations and Trends(R) in Finance, now publishers, vol. 1(1), pages 1-101, July.
    15. Seppälä, Juha, 2000. "The term structure of real interest rates : Theory and evidence form UK index-linked bonds," Research Discussion Papers 22/2000, Bank of Finland.
    16. Röhrs, Sigrid & Winter, Christoph, 2015. "Public versus private provision of liquidity: Is there a trade-off?," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 314-339.
    17. Heaton, John & Lucas, Deborah, 1995. "The importance of investor heterogeneity and financial market imperfections for the behavior of asset prices," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 42(1), pages 1-32, June.
    18. repec:spo:wpmain:info:hdl:2441/6ailptt35p9f2oi4vdhvki7q7n is not listed on IDEAS
    19. Edouard Challe & Xavier Ragot, 2011. "Fiscal Policy in a Tractable Liquidity‐Constrained Economy," Economic Journal, Royal Economic Society, vol. 121(551), pages 273-317, March.
    20. Saito, Makoto, 1998. "A simple model of incomplete insurance the case of permanent shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 22(5), pages 763-777, May.
    21. Mark Aguiar & Manuel Amador & Cristina Arellano, 2021. "Micro Risks and Pareto Improving Policies," Working Papers 2021-15, Princeton University. Economics Department..
    22. Suzuki, Shiba, 2018. "Inequality and asset fire sales," MPRA Paper 90906, University Library of Munich, Germany.

    More about this item

    Keywords

    incomplete markets; yield curve; credit constraints;
    All these keywords.

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    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:hal:wpaper:halshs-00587679. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.