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Quantitative properties of sovereign default models; solution methods matter

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  • Leonardo Martinez
  • Horacio Sapriza
  • Juan Carlos Hatchondo

Abstract

We study the sovereign default model that has been used to account for the cyclical behavior of interest rates in emerging market economies. This model is often solved using the discrete state space technique with evenly spaced grid points. We show that this method necessitates a large number of grid points to avoid generating spurious interest rate movements. This makes the discrete state technique significantly more inefficient than using Chebyshev polynomials or cubic spline interpolation to approximate the value functions. We show that the inefficiency of the discrete state space technique is more severe for parameterizations that feature a high sensitivity of the bond price to the borrowing level for the borrowing levels that are observed more frequently in the simulations. In addition, we find that the efficiency of the discrete state space technique can be greatly improved by (i) finding the equilibrium as the limit of the equilibrium of the finite-horizon version of the model, instead of iterating separately on the value and bond price functions and (ii) concentrating grid points in asset levels at which the bond price is more sensitive to the borrowing level and in levels that are observed more often in the model simulations. Our analysis questions the robustness of results in the sovereign default literature and is also relevant for the study of other credit markets.

Suggested Citation

  • Leonardo Martinez & Horacio Sapriza & Juan Carlos Hatchondo, 2010. "Quantitative properties of sovereign default models; solution methods matter," IMF Working Papers 10/100, International Monetary Fund.
  • Handle: RePEc:imf:imfwpa:10/100
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    1. Glick, Reuven & Leduc, Sylvain, 2012. "Central bank announcements of asset purchases and the impact on global financial and commodity markets," Journal of International Money and Finance, Elsevier, vol. 31(8), pages 2078-2101.
    2. Vayanos, Dimitri & Vila, Jean-Luc, 2009. "A preferred-habitat model of the term structure of interest rates," LSE Research Online Documents on Economics 29308, London School of Economics and Political Science, LSE Library.
    3. John H. Rogers & Chiara Scotti & Jonathan H. Wright, 2014. "Evaluating asset-market effects of unconventional monetary policy: a multi-country review," Economic Policy, CEPR;CES;MSH, vol. 29(80), pages 749-799, October.
    4. J. M. Culbertson, 1957. "The Term Structure of Interest Rates," The Quarterly Journal of Economics, Oxford University Press, vol. 71(4), pages 485-517.
    5. Ilmanen, Antti, 1995. " Time-Varying Expected Returns in International Bond Markets," Journal of Finance, American Finance Association, vol. 50(2), pages 481-506, June.
    6. Robin Greenwood & Dimitri Vayanos, 2014. "Bond Supply and Excess Bond Returns," Review of Financial Studies, Society for Financial Studies, vol. 27(3), pages 663-713.
    7. Silvia Miranda Agrippino & Hélène Rey, 2013. "Funding Flows and Credit in Carry Trade Economies," RBA Annual Conference Volume,in: Alexandra Heath & Matthew Lilley & Mark Manning (ed.), Liquidity and Funding Markets Reserve Bank of Australia.
    8. Antonio Diez de Los Rios, 2015. "A New Linear Estimator for Gaussian Dynamic Term Structure Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, pages 282-295.
    9. Ben S. Bernanke, 2011. "Semiannual Monetary Policy Report to the Congress: testimony before the Committee on Banking, Housing, and Urban Affairs, U.S. Senate, March 1, 2011," Web Site 112, Board of Governors of the Federal Reserve System (U.S.).
    10. Michael D. Bauer & Glenn D. Rudebusch & Jing Cynthia Wu, 2012. "Correcting Estimation Bias in Dynamic Term Structure Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(3), pages 454-467, April.
    11. De Rezende, Rafael B., 2017. "The interest rate effects of government bond purchases away from the lower bound," Journal of International Money and Finance, Elsevier, pages 165-186.
    12. James D. Hamilton & Jing Cynthia Wu, 2012. "The Effectiveness of Alternative Monetary Policy Tools in a Zero Lower Bound Environment," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44, pages 3-46, February.
    13. Gregory R. Duffee, 2011. "Information in (and not in) the Term Structure," Review of Financial Studies, Society for Financial Studies, vol. 24(9), pages 2895-2934.
    14. Dahlquist, Magnus & Hasseltoft, Henrik, 2013. "International Bond Risk Premia," Journal of International Economics, Elsevier, vol. 90(1), pages 17-32.
    15. Kettemann, Andreas & Krogstrup, Signe, 2014. "Portfolio balance effects of the Swiss National Bank’s bond purchase program," Journal of Macroeconomics, Elsevier, vol. 40(C), pages 132-149.
    16. Neely, Christopher J., 2015. "Unconventional monetary policy had large international effects," Journal of Banking & Finance, Elsevier, vol. 52(C), pages 101-111.
    17. Perignon, Christophe & Smith, Daniel R. & Villa, Christophe, 2007. "Why common factors in international bond returns are not so common," Journal of International Money and Finance, Elsevier, vol. 26(2), pages 284-304, March.
    18. Michael D. Bauer & Glenn D. Rudebusch, 2014. "The Signaling Channel for Federal Reserve Bond Purchases," International Journal of Central Banking, International Journal of Central Banking, vol. 10(3), pages 233-289, September.
    19. Hansen, Bruce E., 2010. "Averaging estimators for autoregressions with a near unit root," Journal of Econometrics, Elsevier, vol. 158(1), pages 142-155, September.
    20. Neil Wallace, 1967. "The Term Structure Of Interest Rates And The Maturity Composition Of The Federal Debt," Journal of Finance, American Finance Association, vol. 22(2), pages 301-312, May.
    21. Kozicki, Sharon & Tinsley, P. A., 2001. "Shifting endpoints in the term structure of interest rates," Journal of Monetary Economics, Elsevier, pages 613-652.
    22. Rogers, John H. & Scotti, Chiara & Wright, Jonathan H., 2014. "Evaluating Asset-Market Effects of Unconventional Monetary Policy: A Cross-Country Comparison," International Finance Discussion Papers 1101, Board of Governors of the Federal Reserve System (U.S.).
    23. Jonathan H. Wright, 2012. "What does Monetary Policy do to Long‐term Interest Rates at the Zero Lower Bound?," Economic Journal, Royal Economic Society, vol. 122(564), pages 447-466, November.
    24. Haldane, Andrew & Roberts-Sklar, Matt & Wieladek, Tomasz & Young, Chris, 2016. "QE: the story so far," CEPR Discussion Papers 11691, C.E.P.R. Discussion Papers.
    25. Michael A. S. Joyce & Ana Lasaosa & Ibrahim Stevens & Matthew Tong, 2011. "The Financial Market Impact of Quantitative Easing in the United Kingdom," International Journal of Central Banking, International Journal of Central Banking, vol. 7(3), pages 113-161, September.
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    Keywords

    Default; Sovereign debt; Emerging economies; numerical methods; bond; bond price; computation; statistics; simulation results; International Lending and Debt Problems; Open Economy Macroeconomics;

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