Fiscal policy and the output costs of sovereign default

Leyre Gómez-Oliveros Durán; Stefan Niemann; Paul Pichler

doi:10.1515/bejm-2017-0236

Published by De Gruyter December 7, 2019

Fiscal policy and the output costs of sovereign default

Leyre Gómez-Oliveros Durán , Stefan Niemann and Paul Pichler

From the journal The B.E. Journal of Macroeconomics

https://doi.org/10.1515/bejm-2017-0236

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Abstract

We introduce fiscal policy into a sovereign debt model with endogenous default costs and examine the implications for the determination of the output costs of default. We find that the quantitative properties of the output costs of default, and their dependence on primitives such as the elasticity of labor supply, are distinctly different depending on the margin of fiscal adjustment. The consideration of fiscal policy thus has potentially important implications for the quantitative properties of models of sovereign debt and default.

Keywords: fiscal policy; output costs of default; sovereign debt

JEL Classification: E62; F34; H63

Acknowledgement

We are grateful to the editor, Davide Debortoli, and an anonymous referee for their detailed feedback. The content of this article does not reflect the official opinion of the European Union. Responsibility for the information and views expressed therein lies entirely with the authors.

References

Aguiar, M., and G. Gopinath. 2006. “Defaultable Debt, Interest Rates and the Current Account.” Journal of International Economics 69 (1): 64–83.10.1016/j.jinteco.2005.05.005Search in Google Scholar

Arellano, C. 2008. “Default Risk and Income Fluctuations in Emerging Economies.” American Economic Review 98 (3): 690–712.10.1257/aer.98.3.690Search in Google Scholar

Balke, N. 2017. The Employment Cost of Sovereign Default. Mimeo, University College London.Search in Google Scholar

Borensztein, E., and U. Panizza 2009. “The Costs of Sovereign Default.” IMF Staff Papers 56 (4): 683–741.10.1057/imfsp.2009.21Search in Google Scholar

Cuadra, G., J. Sanchez, and H. Sapriza 2010. “Fiscal Policy and Default Risk in Emerging Markets.” Review of Economic Dynamics 13 (2): 452–469.10.1016/j.red.2009.07.002Search in Google Scholar

De Paoli, B., G. Hoggarth, and V. Saporta 2009. “Output Costs of Sovereign Crises: Some Empirical Estimates.” Bank of England working papers 362, Bank of England.10.2139/ssrn.1344294Search in Google Scholar

Eaton, J., and M. Gersovitz 1981. “Debt with Potential Repudiation: Theoretical and Empirical Analysis.” Review of Economic Studies 48 (2): 289–309.10.2307/2296886Search in Google Scholar

Greenwood, J., Z. Hercowitz, and G. W. Huffman 1988. “Investment, Capacity Utilization, and the Real Business Cycle.” American Economic Review 78 (3): 402–417.Search in Google Scholar

Mendoza, E. G., and V. Z. Yue 2012. “A General Equilibrium Model of Sovereign Default and Business Cycles.” The Quarterly Journal of Economics 127 (2): 889–946.10.1093/qje/qjs009Search in Google Scholar

Na, S., S. Schmitt-Grohé, M. Uribe, and V. Z. Yue 2014. “The Twin Ds: Optimal Default and Devaluation.” NBER Working Papers 20314, National Bureau of Economic Research, Inc.10.3386/w20314Search in Google Scholar

Niemann, S., and P. Pichler 2017. “Optimal Fiscal Policy and Sovereign Debt Crises.” Working Papers 218, Oesterreichische Nationalbank (Austrian Central Bank).Search in Google Scholar

Panizza, U., F. Sturzenegger, and J. Zettelmeyer 2009. “The Economics and Law of Sovereign Debt and Default.” Journal of Economic Literature 47 (3): 651–698.10.1257/jel.47.3.651Search in Google Scholar

Tavares, T. 2015. “Labor Market Distortions under Sovereign Default Crises.” MPRA Paper 66964, University Library of Munich, Germany.Search in Google Scholar

Vegh, C. A., and G. Vuletin 2015. “How Is Tax Policy Conducted over the Business Cycle?” American Economic Journal: Economic Policy 7 (3): 327–370.10.3386/w17753Search in Google Scholar

Appendix

Appendix A.1 Optimal tax and spending policy

Proof of Proposition Proposition 1.

Given some debt policy, the optimal tax and spending policy must satisfy (5) and

uc∂c∂τ−ul∂L∂τ+ug∂g∂τ=0.

Using (1) and (2), the optimality condition for taxes becomes

0=uc[∂gdp∂τ(1+τ)−gdp(1+τ)2]−ucv′(L)∂L∂τ+ug[(gdp+τ∂gdp∂τ)(1+τ)−τgdp(1+τ)2],

or equivalently,

uc{−∂11+τ∂τgdp−11+τ∂gdp∂τ+v′(L)∂L∂τ}=ug{−∂11+τ∂τgdp+τ1+τ∂gdp∂τ}.

From the definition of GDP as the value of the output of final goods net of the costs of imported intermediate inputs, gdp = y − P^*(r^*)m^*, and since factors earn their marginal products, while the price for imported inputs is exogenous, we have

∂gdp∂τ=∂gdp∂L∂L∂τ+∂gdp∂m∗∂m∗∂τ=w∂L∂τ+[P∗(r∗)−P∗(r∗)]∂m∗∂τ=w∂L∂τ.

Hence, the optimality condition for consumption-leisure (2) implies

−11+τ∂gdp∂τ+v′(L)∂L∂τ=[−w1+τ∂gdp∂τ+v′(L)]∂L∂τ=0,

so that the the optimality condition for taxes becomes

uc{−∂11+τ∂τgdp}=ug{−∂11+τ∂τgdp+τ1+τ∂gdp∂τ}.

This condition has an interpretation in terms of marginal benefits and marginal costs of changing the tax rate. Accordingly, variations in the government’s tax policy are seen to have two effects: a direct reallocation effect (−∂11+τ∂τgdp>0), and a budgetary effect (τ1+τ∂gdp∂τ<0). In detail, for given GDP, an increase in the tax rate allows to reallocate resources from private to public consumption. However, this causes tax distortions which work to reduce GDP, the relevant tax base for the consumption tax, and thus has negative implications for the government’s budget. In conjunction, this implies that the optimal fiscal policy limits distortions by keeping public expenditure below its first-best level, that is, u_c < u_g. ⊡

Appendix A.2 Business cycle implications under different fiscal policies

Table 2:

Statistical moments.

	(I)	(II)	(III)
Statistic	FP	exog. g	exog. τ
Standard deviation relative to standard deviation of GDP
C	1.09	1.23	1.00
G	1.34	0	1.63
Correlation with GDP
default	−0.12	−0.13	−0.12
spreads	−0.17	−0.17	−0.00
TB/GDP	−0.46	−0.49	−0.37
G	0.73	0	0.83
τ	−0.40	−0.65	0
Correlation with spread
TB/GDP	0.09	0.16	0.05
G	0.01	0	−0.03
τ	0.25	0.15	0
Mean debt-to-quarterly GDP	23.7%	25.1%	28.2%
Mean annualized spread	0.43%	0.34%	0.18%
Std. dev. of spreads	0.44%	0.37%	0.34%
Mean output drop at default	13.8%	16.3%	14.6%

Baseline parameterization from Table 1. The simulated statistics are computed as averages over N = 20.000 simulations of length T = 500, with the first 100 observations truncated. The simulated series are logged and filtered.

Published Online: 2019-12-07

Fiscal policy and the output costs of sovereign default

Abstract

Acknowledgement

References

Appendix

Appendix A.1 Optimal tax and spending policy

Proof of Proposition Proposition 1.

Appendix A.2 Business cycle implications under different fiscal policies

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