The debt trap: a two-compartment train wreck
AbstractWe aim to shed light on the debate among policy-makers trying to find prescriptions that will take troubled economies out of their debt trap. We do this with a highly stylized two-compartment dynamic model consisting of the stocks of money in Government and Society. The dynamics of the system are described by a simple four-parameter linear system of two differential equations. The solutions are investigated in closed form and provide precisely quantified "escape conditions" from the debt trap: receipts must be slightly larger than outlays and there must be sufficient annual inflows of funds into the system. The model fits the data for the U.S. between 1981 and 2012 with a coefficient of correlation of 0.996. The model is used to extrapolate the two stocks beyond 2012 with three escape scenarios which shed light on monetary flows needed to take the U.S. economy out of its debt trap.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 47578.
Date of creation: 13 Jun 2013
Date of revision:
Compartmental model; debt; system of differential equations; dynamical system; fiscal policy.;
Find related papers by JEL classification:
- C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
- E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination
- H63 - Public Economics - - National Budget, Deficit, and Debt - - - Debt; Debt Management; Sovereign Debt
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-06-16 (All new papers)
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- Carmen M. Reinhart & Kenneth S. Rogoff, 2010.
"Growth in a Time of Debt,"
American Economic Review,
American Economic Association, vol. 100(2), pages 573-78, May.
- Narayana R. Kocherlakota, 2010. "Modern macroeconomic models as tools for economic policy," The Region, Federal Reserve Bank of Minneapolis, issue May, pages 5-21.
- Ratto, Marco & Roeger, Werner & Veld, Jan in 't, 2009. "QUEST III: An estimated open-economy DSGE model of the euro area with fiscal and monetary policy," Economic Modelling, Elsevier, vol. 26(1), pages 222-233, January.
- Saunoris, James W. & Payne, James E., 2010. "Tax more or spend less? Asymmetries in the UK revenue-expenditure nexus," Journal of Policy Modeling, Elsevier, vol. 32(4), pages 478-487, July.
- Salvatore, Dominick, 2010. "Growth or stagnation after recession for the U.S. and other large advanced economies," Journal of Policy Modeling, Elsevier, vol. 32(5), pages 637-647, September.
- Rossana Merola & Douglas Sutherland, 2012. "Fiscal Consolidation: Part 3. Long-Run Projections and Fiscal Gap Calculations," OECD Economics Department Working Papers 934, OECD Publishing.
- Komlos, John & Artzrouni, Marc, 1990.
"Mathematical Investigations of the Escape from the Malthusian Trap,"
Munich Reprints in Economics
3427, University of Munich, Department of Economics.
- John Komlos & Marc Artzrouni, . "Mathematical Investigations of the Escape from the Malthusian Trap," Articles by John Komlos 24, Department of Economics, University of Munich.
- Estrada, Mario Arturo Ruiz & Yap, Su Fei, 2013. "The origins and evolution of policy modeling," Journal of Policy Modeling, Elsevier, vol. 35(1), pages 170-182.
- Schuknecht, Ludger & Hauptmeier, Sebastian & Sanchez Fuéntes, Jésus, 2011.
"Towards Expenditure Rules and Fiscal Sanity in the Euro Area,"
Annual Conference 2011 (Frankfurt, Main): The Order of the World Economy - Lessons from the Crisis
48693, Verein für Socialpolitik / German Economic Association.
- Hauptmeier, Sebastian & Sanchez-Fuentes, A. Jesus & Schuknecht, Ludger, 2011. "Towards expenditure rules and fiscal sanity in the euro area," Journal of Policy Modeling, Elsevier, vol. 33(4), pages 597-617, July.
- Hauptmeier, Sebastian & Sanchez Fuentes, Jesus & Schuknecht, Ludger, 2010. "Towards expenditure rules and fiscal sanity in the euro area," Working Paper Series 1266, European Central Bank.
- Thomas Herndon & Michael Ash & Robert Pollin, 2013. "Does High Public Debt Consistently Stifle Economic Growth? A Critique of Reinhart and Rogo ff," Working Papers wp322, Political Economy Research Institute, University of Massachusetts at Amherst.
- Fabio Tramontana & Mauro Gallegati, 2010.
"Economics as a compartmental system: a simple macroeconomic example,"
1011, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2010.
- Fabio Tramontana, 2010. "Economics as a compartmental system: a simple macroeconomic example," International Review of Economics, Springer, vol. 57(4), pages 347-360, December.
- Krugman, Paul, 2000. "How Complicated Does the Model Have to Be?," Oxford Review of Economic Policy, Oxford University Press, vol. 16(4), pages 33-42, Winter.
- Trachanas, Emmanouil & Katrakilidis, Constantinos, 2013. "Fiscal deficits under financial pressure and insolvency: Evidence for Italy, Greece and Spain," Journal of Policy Modeling, Elsevier, vol. 35(5), pages 730-749.
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