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A framework for debt-maturity management

Author

Listed:
  • Saki Bigio

    (UCLA)

  • Galo Nuño

    (Banco de España)

  • Juan Passadore

    (EIEF)

Abstract
We characterize the optimal debt-maturity management problem of a government in a small open economy. The government issues a continuum of finite-maturity bonds in the presence of liquidity frictions. We find that the solution can be decentralized: the optimal issuance of a bond of a given maturity is proportional to the difference between its market price and its domestic valuation, the latter defined as the price computed using the government’s discount factor. We show how the steady-state debt distribution decreases with maturity. These results hold when extending the model to incorporate aggregate risk or strategic default.

Suggested Citation

  • Saki Bigio & Galo Nuño & Juan Passadore, 2019. "A framework for debt-maturity management," Working Papers 1919, Banco de España.
    • Handle: RePEc:bde:wpaper:1919
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    1. 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.
    2. Wang, Chong & Wang, Neng & Yang, Jinqiang, 2016. "Optimal consumption and savings with stochastic income and recursive utility," Journal of Economic Theory, Elsevier, vol. 165(C), pages 292-331.
    3. 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.
    4. 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.
    5. Yves Achdou & Jiequn Han & Jean-Michel Lasry & Pierre-Louis Lions & Benjamin Moll, 2017. "Income and Wealth Distribution in Macroeconomics: A Continuous-Time Approach," NBER Working Papers 23732, National Bureau of Economic Research, Inc.
    6. Robert E. Lucas Jr. & Benjamin Moll, 2014. "Knowledge Growth and the Allocation of Time," Journal of Political Economy, University of Chicago Press, vol. 122(1), pages 1-51.
    7. John H. Cochrane, 2015. "A New Structure for U.S. Federal Debt," Economics Working Papers 15108, Hoover Institution, Stanford University.
    8. Gary Chamberlain & Charles A. Wilson, 2000. "Optimal Intertemporal Consumption Under Uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(3), pages 365-395, July.
    9. repec:bla:jfinan:v:43:y:1988:i:3:p:617-37 is not listed on IDEAS
    10. Carmen M. Reinhart & Kenneth S. Rogoff, 2014. "This Time is Different: A Panoramic View of Eight Centuries of Financial Crises," Annals of Economics and Finance, Society for AEF, vol. 15(2), pages 215-268, November.
    11. Duffee, Gregory R, 1996. "Idiosyncratic Variation of Treasury Bill Yields," Journal of Finance, American Finance Association, vol. 51(2), pages 527-551, June.
    12. Richard C. Green & Burton Hollifield & Norman Schürhoff, 2007. "Financial Intermediation and the Costs of Trading in an Opaque Market," The Review of Financial Studies, Society for Financial Studies, vol. 20(2), pages 275-314.
    13. Bulow, Jeremy & Rogoff, Kenneth, 1989. "Sovereign Debt: Is to Forgive to Forget?," American Economic Review, American Economic Association, vol. 79(1), pages 43-50, March.
    14. Dominik Sachs & Aleh Tsyvinski & Nicolas Werquin, 2020. "Nonlinear Tax Incidence and Optimal Taxation in General Equilibrium," Econometrica, Econometric Society, vol. 88(2), pages 469-493, March.
    15. Pasquariello, Paolo & Vega, Clara, 2009. "The on-the-run liquidity phenomenon," Journal of Financial Economics, Elsevier, vol. 92(1), pages 1-24, April.
    16. Hatchondo, Juan Carlos & Martinez, Leonardo, 2009. "Long-duration bonds and sovereign defaults," Journal of International Economics, Elsevier, vol. 79(1), pages 117-125, September.
    17. Carmen M. Reinhart & Kenneth S. Rogoff, 2009. "Varieties of Crises and Their Dates," Introductory Chapters, in: This Time Is Different: Eight Centuries of Financial Folly, Princeton University Press.
    18. Mark Aguiar & Satyajit Chatterjee & Harold Cole & Zachary Stangebye, 2022. "Self-Fulfilling Debt Crises, Revisited," Journal of Political Economy, University of Chicago Press, vol. 130(5), pages 1147-1183.
    19. Juan Carlos Hatchondo & Leonardo Martinez & César Sosa-Padilla, 2016. "Debt Dilution and Sovereign Default Risk," Journal of Political Economy, University of Chicago Press, vol. 124(5), pages 1383-1422.
    20. Faraglia, Elisa & Marcet, Albert & Scott, Andrew, 2010. "In search of a theory of debt management," Journal of Monetary Economics, Elsevier, vol. 57(7), pages 821-836, October.
    21. Buera, Francisco & Nicolini, Juan Pablo, 2004. "Optimal maturity of government debt without state contingent bonds," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 531-554, April.
    22. Satyajit Chatterjee & Burcu Eyigungor, 2012. "Maturity, Indebtedness, and Default Risk," American Economic Review, American Economic Association, vol. 102(6), pages 2674-2699, October.
    23. Mark S. Seasholes & Terrence Hendershott, 2007. "Market Maker Inventories and Stock Prices," American Economic Review, American Economic Association, vol. 97(2), pages 210-214, May.
    24. Glosten, Lawrence R. & Milgrom, Paul R., 1985. "Bid, ask and transaction prices in a specialist market with heterogeneously informed traders," Journal of Financial Economics, Elsevier, vol. 14(1), pages 71-100, March.
    25. Grossman, S.J. & Miller, M.H., 1988. "Liquidity And Market Structure," Papers 88, Princeton, Department of Economics - Financial Research Center.
    26. Aguiar, Mark & Gopinath, Gita, 2006. "Defaultable debt, interest rates and the current account," Journal of International Economics, Elsevier, vol. 69(1), pages 64-83, June.
    27. Pierre-Olivier Weill, 2007. "Leaning Against the Wind," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1329-1354.
    28. Leland, Hayne E & Toft, Klaus Bjerre, 1996. "Optimal Capital Structure, Endogenous Bankruptcy, and the Term Structure of Credit Spreads," Journal of Finance, American Finance Association, vol. 51(3), pages 987-1019, July.
    29. Bohn, Henning, 1990. "A positive theory of foreign currency debt," Journal of International Economics, Elsevier, vol. 29(3-4), pages 273-292, November.
    30. Harold L. Cole & Timothy J. Kehoe, 2000. "Self-Fulfilling Debt Crises," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 91-116.
    31. Huang, Roger D & Stoll, Hans R, 1997. "The Components of the Bid-Ask Spread: A General Approach," The Review of Financial Studies, Society for Financial Studies, vol. 10(4), pages 995-1034.
    32. Elisa Faraglia & Albert Marcet & Rigas Oikonomou & Andrew Scott, 2019. "Government Debt Management: The Long and the Short of It," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(6), pages 2554-2604.
    33. Mikhail Golosov & Aleh Tsyvinski & Nicolas Werquin, 2014. "A Variational Approach to the Analysis of Tax Systems," NBER Working Papers 20780, National Bureau of Economic Research, Inc.
    34. G.M. Constantinides & M. Harris & R. M. Stulz (ed.), 2013. "Handbook of the Economics of Finance," Handbook of the Economics of Finance, Elsevier, volume 2, number 2-b.
    35. Michael Tomz & Mark L.J. Wright, 2013. "Empirical Research on Sovereign Debt and Default," Annual Review of Economics, Annual Reviews, vol. 5(1), pages 247-272, May.
    36. G.M. Constantinides & M. Harris & R. M. Stulz (ed.), 2013. "Handbook of the Economics of Finance," Handbook of the Economics of Finance, Elsevier, volume 2, number 2-a.
    37. Breedon, Francis, 2018. "On the transactions costs of UK quantitative easing," Journal of Banking & Finance, Elsevier, vol. 88(C), pages 347-356.
    38. Madhavan, Ananth, 2000. "Market microstructure: A survey," Journal of Financial Markets, Elsevier, vol. 3(3), pages 205-258, August.
    39. Anmol Bhandari & David Evans & Mikhail Golosov & Thomas J. Sargent, 2017. "Fiscal Policy and Debt Management with Incomplete Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(2), pages 617-663.
    40. Easley, David & O'Hara, Maureen, 1987. "Price, trade size, and information in securities markets," Journal of Financial Economics, Elsevier, vol. 19(1), pages 69-90, September.
    41. Luigi Bocola & Alessandro Dovis, 2019. "Self-Fulfilling Debt Crises: A Quantitative Analysis," American Economic Review, American Economic Association, vol. 109(12), pages 4343-4377, December.
    42. Davide Debortoli & Ricardo Nunes & Pierre Yared, 2017. "Optimal Time-Consistent Government Debt Maturity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(1), pages 55-102.
    43. Barry Eichengreen & Ricardo Hausmann, 1999. "Exchange rates and financial fragility," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 329-368.
    44. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    45. Cammack, Elizabeth B, 1991. "Evidence on Bidding Strategies and the Information in Treasury Bill Auctions," Journal of Political Economy, University of Chicago Press, vol. 99(1), pages 100-130, February.
    46. Spindt, Paul A. & Stolz, Richard W., 1992. "Are US treasury bills underpriced in the primary market?," Journal of Banking & Finance, Elsevier, vol. 16(5), pages 891-908, September.
    47. Amy K. Edwards & Lawrence E. Harris & Michael S. Piwowar, 2007. "Corporate Bond Market Transaction Costs and Transparency," Journal of Finance, American Finance Association, vol. 62(3), pages 1421-1451, June.
    48. Cristina Arellano, 2008. "Default Risk and Income Fluctuations in Emerging Economies," American Economic Review, American Economic Association, vol. 98(3), pages 690-712, June.
    49. Foucault, Thierry & Pagano, Marco & Roell, Ailsa, 2013. "Market Liquidity: Theory, Evidence, and Policy," OUP Catalogue, Oxford University Press, number 9780199936243.
    50. Alloza, Mario & Burriel, Pablo & Pérez, Javier J., 2019. "Fiscal policies in the euro area: Revisiting the size of spillovers," Journal of Macroeconomics, Elsevier, vol. 61(C), pages 1-1.
    51. Hui Chen & Yu Xu & Jun Yang, 2012. "Systematic Risk, Debt Maturity, and the Term Structure of Credit Spreads," NBER Working Papers 18367, National Bureau of Economic Research, Inc.
    52. Dong Lou & Hongjun Yan & Jinfan Zhang, 2013. "Anticipated and Repeated Shocks in Liquid Markets," The Review of Financial Studies, Society for Financial Studies, vol. 26(8), pages 1891-1912.
    53. Mark Aguiar & Satyajit Chatterjee & Harold L. Cole & Zachary Stangebye, 2017. "Self-Fulfilling Debt Crises, Revisited: The Art of the Desperate Deal," Working Papers 17-7, Federal Reserve Bank of Philadelphia.
    54. Song, Zhaogang & Zhu, Haoxiang, 2018. "Quantitative easing auctions of Treasury bonds," Journal of Financial Economics, Elsevier, vol. 128(1), pages 103-124.
    55. 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.
    56. Aleh Tsyvinski & Nicolas Werquin, 2017. "Generalized Compensation Principle," NBER Working Papers 23509, National Bureau of Economic Research, Inc.
    57. repec:bla:jfinan:v:59:y:2004:i:3:p:1201-1234 is not listed on IDEAS
    58. Jonathan Eaton & Mark Gersovitz, 1981. "Debt with Potential Repudiation: Theoretical and Empirical Analysis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(2), pages 289-309.
    59. Zhaogang Song & Haoxiang Zhu, 2014. "QE Auctions of Treasury Bonds," Finance and Economics Discussion Series 2014-48, Board of Governors of the Federal Reserve System (U.S.).
    60. George-Marios Angeletos, 2002. "Fiscal Policy with Noncontingent Debt and the Optimal Maturity Structure," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 1105-1131.
    61. Pelizzon, Loriana & Subrahmanyam, Marti G. & Tomio, Davide & Uno, Jun, 2016. "Sovereign credit risk, liquidity, and European Central Bank intervention: Deus ex machina?," Journal of Financial Economics, Elsevier, vol. 122(1), pages 86-115.
    62. Naik, Narayan Y. & Yadav, Pradeep K., 2003. "Do dealer firms manage inventory on a stock-by-stock or a portfolio basis?," Journal of Financial Economics, Elsevier, vol. 69(2), pages 325-353, August.
    63. S. Rao Aiyagari & Albert Marcet & Thomas J. Sargent & Juha Seppala, 2002. "Optimal Taxation without State-Contingent Debt," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1220-1254, December.
    64. Wenxin Du & Jesse Schreger, 2016. "Local Currency Sovereign Risk," Journal of Finance, American Finance Association, vol. 71(3), pages 1027-1070, June.
    65. Ho, Thomas S Y & Stoll, Hans R, 1983. "The Dynamics of Dealer Markets under Competition," Journal of Finance, American Finance Association, vol. 38(4), pages 1053-1074, September.
    66. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    67. Sánchez, Juan M. & Sapriza, Horacio & Yurdagul, Emircan, 2018. "Sovereign default and maturity choice," Journal of Monetary Economics, Elsevier, vol. 95(C), pages 72-85.
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    Cited by:

    1. 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.
    2. D. Cornille & H. Godefroid & L. Van Meensel & S. Van Parys, 2019. "How risky is the high public debt in a context of low interest rates ?," Economic Review, National Bank of Belgium, issue ii, pages 70-96, September.

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    More about this item

    Keywords

    debt maturity; debt management; liquidity costs;
    All these keywords.

    JEL classification:

    • F34 - International Economics - - International Finance - - - International Lending and Debt Problems
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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