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Accelerating the resolution of sovereign debt models using an endogenous grid method

  • Villemot, Sébastien

State-of-the-art algorithms for solving sovereign debt models with endogenous default rely on value function iterations. These algorithms are consequently very slow and quickly become intractable, even for a state space of dimension as low as three. This paper shows how to adapt the endogenous grid method for sovereign debt models, leading to a dramatic speed gain by a factor comprised between 5 and 10. A second contribution is to quantify and compare the accuracy of the computed solutions by both the value function iterations and the endogenous grid method.

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Paper provided by CEPREMAP in its series Dynare Working Papers with number 17.

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Length: 20 pages
Date of creation: Nov 2012
Date of revision:
Handle: RePEc:cpm:dynare:017
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  1. Daniel Cohen & Jeffrey Sachs, 1985. "Growth and External Debt Under Risk of Debt Repudiation," NBER Working Papers 1703, National Bureau of Economic Research, Inc.
  2. Cohen, Daniel & Villemot, Sébastien, 2015. "Endogenous debt crises," Journal of International Money and Finance, Elsevier, vol. 51(C), pages 337-369.
  3. Christopher D. Carroll, 2005. "The Method of Endogenous Gridpoints for Solving Dynamic Stochastic Optimization Problems," NBER Technical Working Papers 0309, National Bureau of Economic Research, Inc.
  4. Barillas, Francisco & Fernandez-Villaverde, Jesus, 2007. "A generalization of the endogenous grid method," Journal of Economic Dynamics and Control, Elsevier, vol. 31(8), pages 2698-2712, August.
  5. Eaton, Jonathan & Gersovitz, Mark, 1981. "Debt with Potential Repudiation: Theoretical and Empirical Analysis," Review of Economic Studies, Wiley Blackwell, vol. 48(2), pages 289-309, April.
  6. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
  7. Juan Carlos Hatchondo & Leonardo Martinez & Horacio Sapriza, 2010. "Quantitative properties of sovereign default models: solution methods matter," Working Paper 10-04, Federal Reserve Bank of Richmond.
  8. 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.
  9. Kollmann, Robert & Maliar, Serguei & Malin, Benjamin A. & Pichler, Paul, 2011. "Comparison of solutions to the multi-country Real Business Cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 186-202, February.
  10. Juillard, Michel & Villemot, Sébastien, 2011. "Multi-country real business cycle models: Accuracy tests and test bench," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 178-185, February.
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