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Fiscal sustainability under an endogenous fiscal feedback rule: a state space approach

Published online by Cambridge University Press:  18 August 2025

Christopher Biolsi*
Affiliation:
Department of Economics, Western Kentucky University, Bowling Green, KY, USA
H. Youn Kim
Affiliation:
Department of Economics, Western Kentucky University, Bowling Green, KY, USA
*
Corresponding author: Christopher Biolsi; Email: christopher.biolsi@wku.edu

Abstract

This study proposes a novel time-varying, endogenous fiscal reaction function, and investigates whether and how the US government responded to the rising debt to assess the sustainability of its debt over 1916 to 2022. The reaction function is estimated via a state space model using Bayesian methods by treating its coefficient as an unobservable stochastic process. Although there is evidence that the government considered long-term projections of the interest rate in its fiscal decisions, the response to debt was largely driven by unobservable non-economic factors and by large and persistent shocks. We find that the government was more proactive about constraining debt increases during the 20th century than previously thought (such as in Bohn, 1998), but it has become less aggressive ever since. The debt-GDP ratio was sustainable for almost the entire sample period, but its steady state value has been rising consistently in recent years. The government’s response to debt contributed 6.0 percentage points to the surplus-GDP ratio in the postwar 20th century, but only 3.6 percentage points afterward.

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Copyright
© The Author(s), 2025. Published by Cambridge University Press

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References

Aldama, P. and Jérôme, C.. (2017). Why fiscal regimes matter for fiscal sustainability: an application to France, International Network for Economic Research Working Paper 2017.01.Google Scholar
Alesina, A. and Tabellini, G.. (1990). A positive theory of fiscal deficits and government debt. The Review of Economic Studies 57(3), 403414.10.2307/2298021CrossRefGoogle Scholar
Auerbach, A.J. (1997). Quantifying the current U.S. Fiscal imbalance. National Tax Journal 50(3), 387398.10.1086/NTJ41789270CrossRefGoogle Scholar
Ball, L., Elmendorf, D. and Mankiw, N.G.. (1998). The deficit gamble. Journal of Money, Credit, and Banking 30(4), 699720.10.2307/2601125CrossRefGoogle Scholar
Bi, H. and Leeper, E.M.. (2013). “Analyzing fiscal sustainability, Working Paper. Bank of Canada, Indiana University, and Monash University.Google Scholar
Bianchi, F. and Ilut, C.. (2017). Monetary/Fiscal policy mix and agents’ beliefs. Review of Economic Dynamics 26, 113139.10.1016/j.red.2017.02.011CrossRefGoogle Scholar
Bianchi, F. and Melosi, L.. (2019). The dire effects of the lack of monetary and fiscal coordination. Journal of Monetary Economics 104, 122.10.1016/j.jmoneco.2018.09.001CrossRefGoogle Scholar
Blanchard, O. (2019). Public debt and low interest rates. American Economic Review 109(4), 11971229.10.1257/aer.109.4.1197CrossRefGoogle Scholar
Bohn, H. (1995). The sustainability of budget deficits in a stochastic economy. Journal of Money, Credit, and Banking 27(1), 257271.10.2307/2077862CrossRefGoogle Scholar
Bohn, H. (1998). The behavior of U.S. Public debt and deficits. The Quarterly Journal of Economics 113(3), 949963.10.1162/003355398555793CrossRefGoogle Scholar
Bohn, H. (2008). The Sustainability of Fiscal Policy in the United States. In: Bohn, H. (eds.), Sustainability of Public Debt, The MIT Press, pp. 1549.10.7551/mitpress/7756.003.0003CrossRefGoogle Scholar
Burger, P. and Marinkov, M.. (2012). Fiscal rules and regime-dependent fiscal reaction functions: the south African case. OECD Journal on Budgeting 12(1), 129.10.1787/budget-v12-1-enCrossRefGoogle Scholar
Canzoneri, M.B., Cumby, R.E. and Diba, B.T.. (2001). Is the price level determined by the needs of fiscal solvency? The American Economic Review 91(5), 12211238.10.1257/aer.91.5.1221CrossRefGoogle Scholar
Carter, C.K. and Kohn, R.. (1994). On gibbs sampling for state space models. Biometrika 81(3), 541553.10.1093/biomet/81.3.541CrossRefGoogle Scholar
Chang, Y. and Kwak, B.. (2017). U.S. Monetary-Fiscal Regime Changes in the Presence of Endogenous Feedback in Policy Rules. CAEPR Working Paper 2017-016.Google Scholar
Checherita-Westphal, C. and Rother, P.. (2012). The impact of high government debt on economic growth and its channels: an empirical investigation for the euro area. European Economic Review 56(7), 13921405.10.1016/j.euroecorev.2012.06.007CrossRefGoogle Scholar
Cimadomo, J., Garnier, J. and Schalck, C.. (2007). Time Varying Fiscal Policy Rules for Five OECD Countries. Working Paper, CEPII, ECARES-ULB, French Ministry of Economy and Finance, and Bank of France.Google Scholar
Clarida, R., Galí, J. and Gertler, M.. (2000). Monetary policy rules and macroeconomic stability: evidence and some theory. The Quarterly Journal of Economics 115(1), 147180.10.1162/003355300554692CrossRefGoogle Scholar
Clark, P.K. (1987). The cyclical component of U.S. Economic activity. The Quarterly Journal of Economics 102(4), 797814.10.2307/1884282CrossRefGoogle Scholar
Collignon, S. (2012). Fiscal policy rules and the sustainability of public debt in Europe. International Economic Review 53(2), 539567.10.1111/j.1468-2354.2012.00691.xCrossRefGoogle Scholar
D’Erasmo, P., Mendoza, E.G. and Zhang, J.. (2016). What is a sustainable public debt? Handbook of Macroeconomics 2, 24932597.10.1016/bs.hesmac.2016.03.013CrossRefGoogle Scholar
Davig, T. and Leeper, E.M.. (2006). Fluctuating macro policies and the fiscal theory. NBER Macroeconomics Annual 21, 247316.10.1086/ma.21.25554956CrossRefGoogle Scholar
Davig, T. and Leeper, E.M.. (2011). Monetary-fiscal policy interactions and fiscal stimulus. European Economic Review 55(2), 211227.10.1016/j.euroecorev.2010.04.004CrossRefGoogle Scholar
Fernández-Villaverde, J., Guerrón-Quintana, P., Kuester, K. and Rubio-Ramírez, J.. (2015). Fiscal volatility shocks and economic activity. The American Economic Review 105(11), 33523384.10.1257/aer.20121236CrossRefGoogle Scholar
Garín, J., Lester, R., Sims, E. and Wolff, J.. (2019). Without looking closer, it may seem cheap: low interest rates and government borrowing. Economics Letters 180, 2832.10.1016/j.econlet.2019.02.024CrossRefGoogle Scholar
Geweke, J. (1992). Evaluating the Accuracy of Sampling-Based Approaches to the Calculation of Posterior Moments. In Geweke, J. (eds.), Bayesian Statistics, vol. 4, pp. 641649, Oxford University Press.Google Scholar
Ghosh, A.R., Kim, J.I., Mendoza, E.G., Ostry, J.D. and Qureshi, M.S.. (2013). Fiscal fatigue, fiscal space and debt sustainability in advanced economies. The Economic Journal 123(566), F4F30.10.1111/ecoj.12010CrossRefGoogle Scholar
Goff, B.L. and Tollison, R.D.. (2002). Explaining U.S. Federal deficits: 1889–1998. Economic Inquiry 40(3), 457469.10.1093/ei/40.3.457CrossRefGoogle Scholar
Hakkio, C.S. and Rush, M.. (1991). Is the budget deficit “Too large? Economic Inquiry 29(3), 429445.10.1111/j.1465-7295.1991.tb00837.xCrossRefGoogle Scholar
Hamilton, J.D. (2018). Why you should never use the hodrick-prescott filter. The Review of Economics and Statistics 100(5), 831843.10.1162/rest_a_00706CrossRefGoogle Scholar
Hamilton, J.D. and Flavin, M.A.. (1986). On the limitations of government borrowing: a framework for empirical testing. The American Economic Review 76(4), 808819.Google Scholar
Haug, A.A. (1991). Cointegration and government borrowing constraints: evidence for the United States. Journal of Business & Economic Statistics 9(1), 97101.10.1080/07350015.1991.10509831CrossRefGoogle Scholar
Herndon, T., Ash, M. and Pollin, R.. (2014). Does high public debt consistently stifle economic growth? A critique of Reinhart and Rogoff. Cambridge Journal of Economics 38(2), 257279.10.1093/cje/bet075CrossRefGoogle Scholar
Kim, C.J. and Murray, C.J.. (2002). Permanent and transitory components of recessions. Empirical Economics 27(2), 163183.10.1007/s001810100097CrossRefGoogle Scholar
Kim, C.J. and Nelson, C.R.. (1999). State-Space Models with Regime Switching. Cambridge, MA: The MIT Press.10.7551/mitpress/6444.001.0001CrossRefGoogle Scholar
Koop, G. (2003). Bayesian Econometrics. Hoboken, NJ: John Wiley & Sons, Inc.Google Scholar
Koop, G. and Korobilis, D.. (2009). Bayesian multivariate time series methods for empirical macroeconomics. Foundations and Trends in Econometrics 3(4), 267358.10.1561/0800000013CrossRefGoogle Scholar
Kroese, D.P. and Chan, J.. (2014). Statistical Modeling and Computation. New York, NY: Springer.10.1007/978-1-4614-8775-3CrossRefGoogle Scholar
Laubach, T. and Williams, J.C.. (2003). Measuring the natural rate of interest. The Review of Economics and Statistics 85(4), 10631070.10.1162/003465303772815934CrossRefGoogle Scholar
Leeper, E.M. (1991). Equilibria under ‘Active’ and ‘Passive’ monetary and fiscal policies. Journal of Monetary Economics 27(1), 129147.10.1016/0304-3932(91)90007-BCrossRefGoogle Scholar
Leeper, E.M. (2010). Monetary science, fiscal alchemy. In: Proceedings: Economic Policy Symposium, Jackson Hole, Federal Reserve Bank of Kansas City, 361434.10.3386/w16510CrossRefGoogle Scholar
Leeper, E.M. and Li, B.. (2017). Surplus-debt regressions. Economics Letters 151, 1015.10.1016/j.econlet.2016.11.034CrossRefGoogle Scholar
Lucas, R.E. Jr.. (2003). Macroeconomic priorities. American Economic Review 93(1), 114.10.1257/000282803321455133CrossRefGoogle Scholar
Mankiw, N.G. (2015). Yes, $r\gt g$ . So what? American Economic Review 105(5), 4347.10.1257/aer.p20151059CrossRefGoogle Scholar
Mauro, P., Romeu, R., Binder, A. and Zaman, A.. (2015). A modern history of fiscal prudence and profligacy. Journal of Monetary Economics 76, 5570.10.1016/j.jmoneco.2015.07.003CrossRefGoogle Scholar
Mehrotra, N.R. and Sergeyev, D.. (2021). Debt sustainability in a low interest rate world. Journal of Monetary Economics 124(S), S1S18.10.1016/j.jmoneco.2021.09.001CrossRefGoogle Scholar
Mendoza, E.G. and Ostry, J.D.. (2008). International evidence on fiscal solvency: is fiscal policy “Responsible”? Journal of Monetary Economics 55(6), 10811093.10.1016/j.jmoneco.2008.06.003CrossRefGoogle Scholar
Morley, J.C., Nelson, C.R. and Zivot, E.. (2003). Why are the Beveridge-nelson and unobserved-components decompositions of GDP so different? The Review of Economics and Statistics 85(2), 235243.10.1162/003465303765299765CrossRefGoogle Scholar
Persson, T. and Svensson, L.E.O.. (1989). Why a stubborn conservative would run a deficit: policy with time-inconsistent preferences. The Quarterly Journal of Economics 104(2), 325345.10.2307/2937850CrossRefGoogle Scholar
Quast, J. and Wolters, M.H.. (2022). Reliable real-time output gap estimates based on a modified hamilton filter. Journal of Business & Economic Statistics 40(1), 152168.10.1080/07350015.2020.1784747CrossRefGoogle Scholar
Raftery, A.E. and Lewis, S.M.. (1992a). How Many Iterations in the Gibbs Sampler? In Raftery, A.E. and Lewis, S.M.. (eds.), Bayesian Statistics, vol. 4, pp. 763773, Oxford University Press.Google Scholar
Raftery, A.E. and Lewis, S.M.. (1992b). One long run with diagnostics: implementation strategies for Markov chain monte carlo. Statistical Science 7(4), 493497.10.1214/ss/1177011143CrossRefGoogle Scholar
Raftery, A.E. and Lewis, S.M.. (1995). Implementing MCMC. In Raftery, A.E. and Lewis, S.M.. (eds.), Markov Chain Monte Carlo in Practice, pp. 115130, Chapman and Hall.Google Scholar
Reinhart, C.M. and Rogoff, K.S.. (2010). Growth in a time of debt. The American Economic Review 100(2), 573578.10.1257/aer.100.2.573CrossRefGoogle Scholar
Romer, D. (2006). Advanced Macroeconomics. New York, NY: McGraw-Hill/Irwin.Google Scholar
Shiller, R. J. (1989). Market Volatility. Cambridge, MA: The MIT Press.Google Scholar
Shiller, R. J. (2015). Irrational Exuberance. Princeton, NJ: Princeton University Press.Google Scholar
Sims, C.A. (1988). Identifying Policy Effects. In Sims, C.A. (eds.), Empirical Macroeconomics for Interdependent Economies, pp. 305321, Brookings Institution.Google Scholar
Taylor, J.B. (1993). Discretion versus policy rules in practice. Carnegie-Rochester Conference Series on Public Policy 39, 195214.10.1016/0167-2231(93)90009-LCrossRefGoogle Scholar
Trehan, B. and Walsh, C.E.. (1991). Testing intertemporal budget constraints: theory and applications to U.S. Federal budget and current account deficits. Journal of Money, Credit, and Banking 23(2), 206223.10.2307/1992777CrossRefGoogle Scholar
Uctum, M. and Wickens, M.. (2000). Debt and deficit ceilings, and sustainability of fiscal policies: an intertemporal analysis. Oxford Bulletin of Economics and Statistics 62(2), 197222.10.1111/1468-0084.00168CrossRefGoogle Scholar
Wilcox, D.W. (1989). The sustainability of government deficits: implications of the present-value borrowing constraint. Journal of Money, Credit and Banking 21(3), 291306.10.2307/1992415CrossRefGoogle Scholar