IDEAS home Printed from https://ideas.repec.org/a/mof/journl/ppr14_04_06.html
   My bibliography  Save this article

Accuracy and speed of the solution methods for sovereign default models: The stable performance of the Tauchen method and cubic spline interpolation

Author

Listed:
  • Takefumi Yamazaki

    (Senior Economist, Policy Research Institute, Ministry of Finance)

Abstract

We examine the solution methods of sovereign default models in accuracy and speed when using the Tauchen and the Rouwenhorst methods for discretizing AR (1) endowment processes, and linear, quadratic and cubic spline interpolation for approximating the value functions. Our results show that (i) the Tauchen method obtains stable solutions in all the cases. (ii) using interpolation methods for approximating value functions improves both accuracy and speed as with previous studies, and (iii) cubic spline interpolation delivers accurate and stable performance regardless of types of default cost and the degree of persistence unlike linear and quadratic splines.

Suggested Citation

  • Takefumi Yamazaki, 2018. "Accuracy and speed of the solution methods for sovereign default models: The stable performance of the Tauchen method and cubic spline interpolation," Public Policy Review, Policy Research Institute, Ministry of Finance Japan, vol. 14(4), pages 641-662, July.
    • Handle: RePEc:mof:journl:ppr14_04_06
    as

    Download full text from publisher

    File URL: https://www.mof.go.jp/english/pri/publication/pp_review/ppr14_04_06.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Eric French, 2005. "The Effects of Health, Wealth, and Wages on Labour Supply and Retirement Behaviour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 395-427.
    2. Ugo Panizza & Federico Sturzenegger & Jeromin Zettelmeyer, 2009. "The Economics and Law of Sovereign Debt and Default," Journal of Economic Literature, American Economic Association, vol. 47(3), pages 651-698, September.
    3. Juan Carlos Hatchondo & Leonardo Martinez & Horacio Sapriza, 2010. "Quantitative properties of sovereign default models: solution methods," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(4), pages 919-933, October.
    4. John Stachurski, 2008. "Continuous State Dynamic Programming via Nonexpansive Approximation," Computational Economics, Springer;Society for Computational Economics, vol. 31(2), pages 141-160, March.
    5. Tauchen, George & Hussey, Robert, 1991. "Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models," Econometrica, Econometric Society, vol. 59(2), pages 371-396, March.
    6. Takefumi Yamazaki, 2018. "Financial friction sources in emerging economies: Structural estimation of sovereign default models," Discussion papers ron303, Policy Research Institute, Ministry of Finance Japan.
    7. Uribe, Martin & Yue, Vivian Z., 2006. "Country spreads and emerging countries: Who drives whom?," Journal of International Economics, Elsevier, vol. 69(1), pages 6-36, June.
    8. Jerome Adda & Russell W. Cooper, 2003. "Dynamic Economics: Quantitative Methods and Applications," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012014, December.
    9. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    10. Neumeyer, Pablo A. & Perri, Fabrizio, 2005. "Business cycles in emerging economies: the role of interest rates," Journal of Monetary Economics, Elsevier, vol. 52(2), pages 345-380, March.
    11. Enrique G. Mendoza & Vivian Z. Yue, 2012. "A General Equilibrium Model of Sovereign Default and Business Cycles," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(2), pages 889-946.
    12. 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.
    13. Cristina Arellano, 2008. "Default Risk and Income Fluctuations in Emerging Economies," American Economic Review, American Economic Association, vol. 98(3), pages 690-712, June.
    14. 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.
    15. Alexander Richter & Nathaniel Throckmorton & Todd Walker, 2014. "Accuracy, Speed and Robustness of Policy Function Iteration," Computational Economics, Springer;Society for Computational Economics, vol. 44(4), pages 445-476, December.
    16. Flodén, Martin, 2008. "A note on the accuracy of Markov-chain approximations to highly persistent AR(1) processes," Economics Letters, Elsevier, vol. 99(3), pages 516-520, June.
    17. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    18. Aguiar, M. & Chatterjee, S. & Cole, H. & Stangebye, Z., 2016. "Quantitative Models of Sovereign Debt Crises," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1697-1755, Elsevier.
    19. Leland E. Farmer & Alexis Akira Toda, 2017. "Discretizing nonlinear, non‐Gaussian Markov processes with exact conditional moments," Quantitative Economics, Econometric Society, vol. 8(2), pages 651-683, July.
    20. Mr. Leonardo Martinez & Horacio Sapriza & Juan Carlos Hatchondo, 2010. "Quantitative properties of sovereign default models: solution methods matter," IMF Working Papers 2010/100, International Monetary Fund.
    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. Takefumi Yamazaki, 2018. "Financial friction sources in emerging economies: Structural estimation of sovereign default models," Discussion papers ron303, Policy Research Institute, Ministry of Finance Japan.
    2. 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.
    3. Engler, Philipp & Große Steffen, Christoph, 2016. "Sovereign risk, interbank freezes, and aggregate fluctuations," European Economic Review, Elsevier, vol. 87(C), pages 34-61.
    4. Tavares, Tiago, 2015. "The Role of International Reserves in Sovereign Debt Restructuring under Fiscal Adjustment," MPRA Paper 87423, University Library of Munich, Germany.
    5. Robert Kirkby, 2023. "Quantitative Macroeconomics: Lessons Learned from Fourteen Replications," Computational Economics, Springer;Society for Computational Economics, vol. 61(2), pages 875-896, February.
    6. Lopez-Martin, Bernabe & Leal, Julio & Martinez Fritscher, Andre, 2019. "Commodity price risk management and fiscal policy in a sovereign default model," Journal of International Money and Finance, Elsevier, vol. 96(C), pages 304-323.
    7. Grey Gordon & Pablo Guerron-Quintana, 2018. "Dynamics of Investment, Debt, and Default," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 28, pages 71-95, April.
    8. Hatchondo, Juan Carlos & Martinez, Leonardo & Sosa Padilla, César, 2014. "Voluntary sovereign debt exchanges," Journal of Monetary Economics, Elsevier, vol. 61(C), pages 32-50.
    9. Pablo Guerron-Quintana & Grey Gordon, 2014. "Municipal Bonds, Default, and Migration in General Equilibrium," 2014 Meeting Papers 868, Society for Economic Dynamics.
    10. Jeon, Kiyoung & Kabukcuoglu, Zeynep, 2018. "Income inequality and sovereign default," Journal of Economic Dynamics and Control, Elsevier, vol. 95(C), pages 211-232.
    11. Froemel, Maren & Paczos, Wojtek, 2024. "Imperfect financial markets and the cyclicality of social spending," European Economic Review, Elsevier, vol. 167(C).
    12. Javier Bianchi & Juan Carlos Hatchondo & Leonardo Martinez, 2018. "International Reserves and Rollover Risk," American Economic Review, American Economic Association, vol. 108(9), pages 2629-2670, September.
    13. Fink, Fabian & Scholl, Almuth, 2016. "A quantitative model of sovereign debt, bailouts and conditionality," Journal of International Economics, Elsevier, vol. 98(C), pages 176-190.
    14. Ricardo Sabbadini, 2018. "Loss Aversion and Search for Yield in Emerging Markets Sovereign Debt," Working Papers, Department of Economics 2018_16, University of São Paulo (FEA-USP).
    15. Enrique G. Mendoza & Vivian Z. Yue, 2012. "A General Equilibrium Model of Sovereign Default and Business Cycles," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(2), pages 889-946.
    16. Juan Carlos Hatchondo & Leonardo Martinez & Yasin Kürsat Önder & Francisco Roch, 2022. "Sovereign Cocos," Working Papers 139, Red Nacional de Investigadores en Economía (RedNIE).
      • Juan Carlos Hatchondo & Mr. Leonardo Martinez & Kursat Onder & Mr. Francisco Roch, 2022. "Sovereign Cocos," IMF Working Papers 2022/078, International Monetary Fund.
    17. Durdu, C. Bora & Nunes, Ricardo & Sapriza, Horacio, 2013. "News and sovereign default risk in small open economies," Journal of International Economics, Elsevier, vol. 91(1), pages 1-17.
    18. Zhu, Junjun & Xie, Shiyu, 2011. "Asymmetric Shocks, Long-term Bonds and Sovereign Default," MPRA Paper 28236, University Library of Munich, Germany.
    19. Tavares, Tiago, 2015. "Labor Market Distortions under Sovereign Default Crises," MPRA Paper 66964, University Library of Munich, Germany.
    20. Johri, Alok & Khan, Shahed & Sosa-Padilla, César, 2022. "Interest rate uncertainty and sovereign default risk," Journal of International Economics, Elsevier, vol. 139(C).

    More about this item

    Keywords

    Sovereign default; Numerical calculation; Full-nonlinear DSGE;
    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

    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:mof:journl:ppr14_04_06. 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: Policy Research Institute (email available below). General contact details of provider: https://edirc.repec.org/data/prigvjp.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.