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On the cyclicality of the interest rate in emerging economy models: solution methods matter

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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 such that the borrowing levels that are observed more frequently in the simulations feature a high sensitivity of the bond price to the borrowing level. 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 is also relevant for the study of other credit markets. ; Replaces Working Paper 06-11 (Computing Business Cycles in Emerging Economy Models) ; Updated by Working Paper 10-04 (Quantitative Properties of Sovereign Default Models: Solution Methods Matter)

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  • Juan Carlos Hatchondo & Leonardo Martinez & Horacio Sapriza, 2009. "On the cyclicality of the interest rate in emerging economy models: solution methods matter," Working Paper 09-13, Federal Reserve Bank of Richmond.
    • Handle: RePEc:fip:fedrwp:09-13
    Note: For an updated version of this working paper, see WP 10-04
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    References listed on IDEAS

    as
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    Cited by:

    1. Juan Carlos Hatchondo & Leonardo Martinez & Horacio Sapriza, 2007. "The economics of sovereign defaults," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 93(Spr), pages 163-187.
    2. Juan Carlos Hatchondo & Leonardo Martinez & Horacio Sapriza, 2009. "Heterogeneous Borrowers In Quantitative Models Of Sovereign Default," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(4), pages 1129-1151, November.
    3. Edward S. Knotek & Stephen J. Terry, 2008. "Alternative methods of solving state-dependent pricing models," Research Working Paper RWP 08-10, Federal Reserve Bank of Kansas City.

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