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On the non-causal link between volatility and growth

Author

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  • Olaf Posch

    (School of Economics and Management, University of Aarhus, Denmark)

  • Klaus Wälde

    (University of Mainz)

Abstract

A model highlighting the endogeneity of both volatility and growth is presented. Volatility and growth are therefore correlated but there is no causal link from volatility to growth. This joint endogeneity is illustrated by working out the effects through which economies with different tax levels di er both in their volatility and growth. Using a continuous-time DSGE model with plausible parametric restrictions, we obtain closedform measures of macro volatility based on cyclical components and output growth rates. Given our results, empirical volatility-growth analysis should include controls in the conditional variance equation. Otherwise an omitted variable bias is likely.

Suggested Citation

  • Olaf Posch & Klaus Wälde, 2009. "On the non-causal link between volatility and growth," Economics Working Papers 2009-10, Department of Economics and Business Economics, Aarhus University.
  • Handle: RePEc:aah:aarhec:2009-10
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    References listed on IDEAS

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    1. Martin, Philippe & Rogers, Carol Ann, 1997. "Stabilization Policy, Learning-by-Doing, and Economic Growth," Oxford Economic Papers, Oxford University Press, vol. 49(2), pages 152-166, April.
    2. Smith William T, 2007. "Inspecting the Mechanism Exactly: A Closed-form Solution to a Stochastic Growth Model," The B.E. Journal of Macroeconomics, De Gruyter, vol. 7(1), pages 1-33, August.
    3. Imbs, Jean, 2007. "Growth and volatility," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1848-1862, October.
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    5. Sennewald, Ken, 2007. "Controlled stochastic differential equations under Poisson uncertainty and with unbounded utility," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1106-1131, April.
    6. Posch, Olaf, 2011. "Explaining output volatility: The case of taxation," Journal of Public Economics, Elsevier, vol. 95(11), pages 1589-1606.
    7. Posch, Olaf, 2009. "Structural estimation of jump-diffusion processes in macroeconomics," Journal of Econometrics, Elsevier, vol. 153(2), pages 196-210, December.
    8. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 825-853, August.
    9. Hellwig, Martin & Irmen, Andreas, 2001. "Endogenous Technical Change in a Competitive Economy," Journal of Economic Theory, Elsevier, vol. 101(1), pages 1-39, November.
    10. Jonathan Gruber, 2006. "A Tax-Based Estimate of the Elasticity of Intertemporal Substitution," NBER Working Papers 11945, National Bureau of Economic Research, Inc.
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    Cited by:

    1. Mickaël Clévenot & Marie Silvère Mbome, 2014. "Reassessing Vulnerability to Macroeconomic Volatility: a nonstationary panel approach," Working Papers hal-00951544, HAL.
    2. Posch, Olaf, 2011. "Explaining output volatility: The case of taxation," Journal of Public Economics, Elsevier, vol. 95(11), pages 1589-1606.
    3. Robert Feicht & Wolfgang Stummer, 2010. "Complete Closed-form Solution to a Stochastic Growth Model and Corresponding Speed of Economic Recovery preliminary," DEGIT Conference Papers c015_041, DEGIT, Dynamics, Economic Growth, and International Trade.
    4. Christian Bayer & Klaus Waelde, 2011. "Existence, Uniqueness and Stability of Invariant Distributions in Continuous-Time Stochastic Models," Working Papers 1111, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz, revised 21 Jul 2011.

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    More about this item

    Keywords

    Tax effects; Volatility measures; Poisson uncertainty; Endogenous cycles and growth; Continuous-time DSGE models;
    All these keywords.

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • H3 - Public Economics - - Fiscal Policies and Behavior of Economic Agents
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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