Stability and determinants of the public debt-to-GDP ratio: an Input Output – Stock Flow Consistent approach

Di Domenico, Lorenzo (2021): Stability and determinants of the public debt-to-GDP ratio: an Input Output – Stock Flow Consistent approach.

Abstract

The paper develops a dynamic Input Output - Stock Flow consistent model based on the Supermultiplier approach. This framework integrates the dimension of output determination with the system of relative prices. Through this model, we define the determinants of the public debt-to-GDP ratio and the conditions for its stability. The main results of the research show that: i) Given the interest rate, the saving rate, the tax rate, the industrial profit rate and the coefficients of production there exist a steady-state value of the public debt-to-GDP ratio ingrained in the economic system. This result calls into question the idea of imposing budgetary rules with threshold levels independently from the very specific features of each economic system; ii) Expansions in the level of public expenditure have a permanent effect on the public debt-to-GDP ratio only in the presence of the accelerator effect, that is, through an induced increase in the share of private indebtedness on GDP and aggregate debt. Because of the accelerator channel, the public debt-to-GDP ratio depends on the capital intensity of the aggregate production process and, thus, on the system of relative prices. With this respect, the capital intensity determines the elasticity of private indebtedness with respect to one-point change in public spending; iii) Conversely to the neoclassical argument, the relationship between the interest rate and public debt-to-GDP ratio goes from the first to the second. In particular, changes in the interest rate modify the public debt-to-GDP ratio through both variations in the quantitative and value dimension. Such variations have a puzzling effect on the steady-state value of the public debt-to-GDP ratio. For instance, the reverse capital deepening implies that an increase in the interest rate produces a decrease in the public debt-to-GDP ratio. Finally, we point out that, in contrast to the standard argument proposed by mainstream macroeconomics, the condition of fiscal balance jointly a positive differential between the growth rate of output and the interest rate has no relevance for the stability conditions of the public debt-to-GDP ratio. In this regard, we develop a taxonomy of the growth regimes depicted by the model deriving such conditions in each scenario. The necessary condition of stability is the absence of budgetary constraints, it becomes sufficient when one of the following is respected: the growth rate of primary public expenditure is higher than zero, the interest rate is higher than zero or the propensity to consume out of wealth is non-zero.

• Item Type: MPRA Paper
• Language: English
• Keywords: Fiscal policy, Monetary policy, Public debt-to-GDP ratio, SFC models, Input-Output
• Subjects: E - Macroeconomics and Monetary Economics > E1 - General Aggregative Models > E12 - Keynes ; Keynesian ; Post-Keynesian; E - Macroeconomics and Monetary Economics > E1 - General Aggregative Models > E17 - Forecasting and Simulation: Models and Applications; E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E42 - Monetary Systems ; Standards ; Regimes ; Government and the Monetary System ; Payment Systems; E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E43 - Interest Rates: Determination, Term Structure, and Effects; E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E52 - Monetary Policy; E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook > E62 - Fiscal Policy

References

Blanchard, O. (2008). WORLD ECONOMY UNDER STRESS-Cracks in the System-Repairing the damaged global economy. Finance & Development, 45(4), 8.

Blanchard, O., Cerutti, E., & Summers, L. (2015). Inflation and activity–two explorations and their monetary policy implications (No. w21726). National Bureau of Economic Research.

Bortis, H., & Heinrich, B. (1997). Institutions, behaviour and economic theory: a contribution to classical-Keynesian political economy. Cambridge University Press.

Botta, A. and Tori, D. (2018). “The theoretical and empirical fragilities of the expansionary austerity theory”, Journal of Post Keynesian Economics, 41 (3), pp. 364-398.

Cerra, V., & Saxena, S. C. (2008). Growth dynamics: the myth of economic recovery. American Economic Review, 98(1), 439-57.

Cesaratto, S. (2017). Alternative interpretations of a stateless currency crisis. Cambridge Journal of Economics, 41(4), 977-998.

Cesaratto, S., Serrano, F., & Stirati, A. (2003). Technical change, effective demand and employment. Review of political economy, 15(1), 33-52.

Chick, V. (1992). The evolution of the banking system and the theory of saving, investment and interest. In On money, method and Keynes (pp. 193-205). Palgrave Macmillan, London.

Ciccone, R. (2013), “Public debt and aggregate demand: some unconventional analytics”, in Levrero, E., Palumbo, A., Stirati, A. (eds), Sraffa and the Reconstruction of Economic Theory: Volume Two (pp. 15-43), London: Palgrave Macmillan

Claude Gnos & Louis-Philippe Rochon, (2003). "Joan Robinson and Keynes: finance, relative prices and the monetary circuit," Review of Political Economy, Taylor & Francis Journals, vol. 15(4), pages 483-491.

Dalziel, P. (1996). The Keynesian multiplier, liquidity preference, and endogenous money. Journal of post Keynesian economics, 18(3), 311-331.

De-Juan, O. (2005). Paths of accumulation and growth: towards a Keynesian long-period theory of output. Review of Political Economy, 17(2), 231-252.

Duménil, G., & Lévy, D. (1999). Being Keynesian in the short term and classical in the long term: The traverse to classical long‐term equilibrium. The Manchester School, 67(6), 684-716.

Freitas, F., & Serrano, F. (2015). Growth rate and level effects, the stability of the adjustment of capacity to demand and the Sraffian supermultiplier. Review of Political Economy, 27(3), 258-281.

Garegnani P. (1992), Some notes for an analysis of accumulation, in Beyond the steady – state: A Revival of Growth Theory, Macmillan, Londra, 47-71.

Garegnani, P. (1978). Notes on Consumption, Investment and Effective Demand, Parts I &II. Cambridge Journal of Economics 2 & 3: 335–353, 63–82.

Giavazzi, F. and Pagano, M. (1990), “Can severe fiscal contractions be expansionary? Tales of two small European countries”, National Bureau of Economic Research Macroeconomics Annual, 5, pp. 75-111

Godley, W., & Lavoie, M. (2006). Monetary economics: an integrated approach to credit, money, income, production and wealth. Springer.

Goldey, W., & Lavoie, M. (2007). Fiscal policy in a stock-flow consistent (SFC) model. Journal of Post Keynesian Economics, 30(1), 79-100.

Graziani, A. (1996) ‘Money as Purchasing Power and Money as a Stock of Wealth in Keynesian Economic Thought’, in E. Nell and G. Deleplace (eds), Money in Motion (London: Macmillan).

Keen, S. (2014). Endogenous money and effective demand. Review of Keynesian Economics, 2(3), 271-291.

Keynes, J. M. (1933). A monetary theory of production. The Collected Writings of John Maynard Keynes, 13, 408-11. Krugman, P. (2019), “Perspectives on debt and deficits”, Business Economics.

Nell, E. (1996) ‘The Circuit of Money in a Production Economy’, in E. Nell and G. Deleplace (eds), Money in Motion (London: Macmillan).

Nikiforos, M. (2018). Some comments on the Sraffian Supermultiplier approach to growth and distribution. Journal of Post Keynesian Economics.https://doi.org/10.1080/01603477. 2018.1486211

Parguez, A. (1997) ‘Government Deficits within the Monetary Production Economy or the Tragedy of the Race to Balance Budgets’, unpublished.

Parguez, A. and Seccareccia, M. (2000) ‘The Credit Theory of Money: The Monetary Circuit Approach’, in J. Smithin, (ed.), What is Money? (London: Routledge).

Pasinetti, L. L. (1998). “The myth (or folly) of the 3% deficit/GDP Maastricht ‘parameter’”, Cambridge Journal of Economics, 22 (1), pp. 103-116.

Palley, T. I. (2012). “The simple macroeconomics of fiscal austerity: public debt, deficits and deficit caps”, European Journal of Economics and Economic Policies: Intervention, 9 (1), pp. 91-107.

Pivetti, M. (1985), On the monetary explanation of distribution, with a reply to comments by L. Pasinetti e J.

Steindl, in Bharadwaj, K. and Schefold, B. (eds), Essays on Piero Sraffa - Critical Perspectives on the Revival of Classical Theory, London, Unwim Hyman.

Pivetti, M. (1991), An Essay in Money and Distribution, London, Macmillan.

Pivetti, M. (2013), On Advanced Capitalism and the Determinants of the Change in Income Distribution: A Classical Interpretation, in Levrero, E.S., Palumbo, A., and Stirati, A. (eds), Sraffa and the Reconstruction of Economic Theory, Volume 1, Palgrave Macmillan: 176-191.

Robinson, J. (1962). A model of accumulation. In Essays in the Theory of Economic Growth (pp. 22-87). Palgrave Macmillan, London.

Rowthorn, B. (1981). Demand, real wages and economic growth. North East London PolytechnicSeccareccia, M. (1996). ‘Post-Keynesian Fundism and Monetary Circulation’, in G. Deleplace and E. Nell (eds), Money in Motion: The Post Keynesian and Circulation Approaches (London: Macmillan).

Serrano, F. (1995). Long period effective demand and the Sraffian supermultiplier. Contributions to Political Economy, 14(1), 67-90.

Serrano, F., & Freitas, F. (2016). The Sraffian supermultiplier as an alternative closure for heterodox growth theory. European Journal of Economics and Economic Policies, 14(1),70-91.

Shaikh, A. (2009). Economic policy in a growth context: a classical synthesis of Keynes and Harrod. Metroeconomica, 60(3), 455-494.

Solomon, M. S. (2010). Critical ideas in times of crisis: Reconsidering Smith, Marx, Keynes, and Hayek. Globalizations, 7(1-2), 127-135.

Solow, R. M. (1956). A contribution to the theory of economic growth. The quarterly journal of economics, 70(1), 65-94.

Skott, P. (1989). Effective demand, class struggle and cyclical growth. International Economic Review, 231-247. Skott, P. (2012). Theoretical and empirical shortcomings of the Kaleckian investment function. Metroeconomica, 63(1), 109-138.

Skott, Peter. (2017). Autonomous demand, Harrodian instability and the supply side: SKOTT. Metroeconomica. 70. 10.1111/meca.12181.

Sraffa, P. (1960), Production of Commodities by Means of Commodities: Prelude to a Critique of Economic Theory, Cambridge, Cambridge University Press.

Steindl, J. (1952). Maturity and Stagnation in the American Economy. Ox-ford: Blackwell.

Stirati, A. (1994). The theory of wages in classical economics: a study of Adam Smith, David Ricardo, and their contemporaries. Edward Elgar Publishing.

Woodford, M. (2003). Optimal interest-rate smoothing. The Review of Economic Studies, 70(4), 861-886.