We model and calibrate the arguments in favor and against short-term and long-term debt. These arguments broadly include: maturity premium, sustainability, and service smoothing. We use a dynamic equilibrium model with tax distortions and government outlays uncertainty, and model maturity as the fraction of debt that needs to be rolled over every period. In the model, the benefits of defaulting are tempered by higher future interest rates. We then calibrate our artificial economy and solve for the optimal debt maturity for Brazil as an example of a developing country and the U.S. as an example of a mature economy. We obtain that the calibrated costs from defaulting on long-term debt more than offset costs associated with short-term debt. Therefore, short-term debt implies higher welfare levels.
2007_24_alfaro.pdfHarvard Business School Working Paper 06-005; NBER Working Paper 13119, August 2006
Most models currently used to determine optimal foreign reserve holdings take the level of international debt as given. However, given the sovereign’s willingness-to-pay incentive problems, reserve accumulation may reduce sustainable debt levels. In addition, assuming constant debt levels does not allow addressing one of the puzzles behind using reserves as a means to avoid the negative effects of crisis: why do not sovereign countries reduce their sovereign debt instead? To study the joint decision of holding sovereign debt and reserves, we construct a stochastic dynamic equilibrium model calibrated to a sample of emerging markets. We obtain that the optimal policy is not to hold reserves at all. This finding is robust to considering interest rate shocks, sudden stops, contingent reserves and reserve dependent output costs.
2007_22_alfaro.pdfHarvard Business School Working Paper 07-010; NBER Working Paper No. 13216, July 2006
In this paper we review the literature on sovereign debt with particular emphasis on indexation and maturity and the main policy proposals related to these topics. We also advance some implications derived from our work. In Alfaro and Kanczuk (2005a, b, c), we modeled sovereign debt as a contingent claim following the framework developed by Grossman and Van Huyck (1988). Our framework, however, recognizes that contingent debt might be associated with incentive problems. Applying this framework to the study of the sustainability of sovereign debt, the tradeoff between nominal and indexed debt, and the optimal debt maturity, we find some of the proposals advanced in the literature regarding lengthening debt maturity and issuing nominal debt to be unsustainable in emerging (volatile) economies.
2007_23_alfaro.pdfInter-American Development Bank Working Paper Series WP-560, April 2006