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Intertemporal Substitution, Risk Aversion, and Economic Performance in a Stochastically Growing Open Economy

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  • Paola Giuliano
  • Stephen Turnovsky

Abstract

Most intertemporal studies of risk are based on the constant relative risk aversion utility function. This has the property that the intertemporal elasticity of substitution and the coefficient of relative risk aversion are both consstant and inverses of each other. With the diversity of empirical evidence suggesting that this constraint may or may not be met, it is important that studies of risk and growth decouple these two parameters, which impinge on the equilibrium in distinct and in some respects conflicting ways. This paper provides both an analytical characterization as well as extensive numerical simulations of the euqilibrium in a stochastically growing small open economy under more general recursive preferences. The paper shows that errors committed by using the constant elasticity uility function rather than the more general recursive preferences, even for small violations of the compatibility condition within empirically plausible range of the parameter values can be both quantitatively and even qualitatively substantial.
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  • Paola Giuliano & Stephen Turnovsky, 2002. "Intertemporal Substitution, Risk Aversion, and Economic Performance in a Stochastically Growing Open Economy," Working Papers UWEC-2002-20-P, University of Washington, Department of Economics.
    • Handle: RePEc:udb:wpaper:uwec-2002-20-p
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    Cited by:

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    2. Turnovsky, Stephen J. & Smith, William T., 2006. "Equilibrium consumption and precautionary savings in a stochastically growing economy," Journal of Economic Dynamics and Control, Elsevier, vol. 30(2), pages 243-278, February.
    3. Isela Téllez-León. & Francisco Venegas-Martínez. & Abigail Rodríguez-Nava., 2011. "Inflation Volatility and Growth in a Stochastic Small Open Economy: A Mixed Jump-Diffusion Approach," Economía: teoría y práctica, Universidad Autónoma Metropolitana, México, vol. 35(2), pages 131-156, Julio-Dic.
    4. Pommeret, Aude & Smith, William T., 2005. "Fertility, volatility, and growth," Economics Letters, Elsevier, vol. 87(3), pages 347-353, June.
    5. Marcelo Bianconi, 2011. "Transfer programs under alternative insurance schemes and liquidity constraints," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 20(2), pages 175-197.
    6. Simon GB Cowan & Simon Cowan, 2002. "Commodity Taxation as Insurance Against Price Risk," Economics Series Working Papers 110, University of Oxford, Department of Economics.
    7. Venegas Martínez Francisco & Rodríguez Nava Abigail, 2010. "Optimal portafolio and consumption decisions under exchange rate and interest rate risks. A jump-diffusion approach," Contaduría y Administración, Accounting and Management, vol. 55(1), pages 9-24, enero-abr.
    8. Marcelo Bianconi, 2004. "Transfer Programs and Consumption under Alternative Insurance Schemes and Liquidity Constraints," Discussion Papers Series, Department of Economics, Tufts University 0411, Department of Economics, Tufts University.
    9. Simon GB Cowan & Simon Cowan, 2002. "Marginal Cost Pricing versus Insurance," Economics Series Working Papers 102, University of Oxford, Department of Economics.
    10. Shapiro, Joel & Wu, Stephen, 2011. "Fatalism and savings," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 40(5), pages 645-651.
    11. Kenc, Turalay & Dibooglu, Sel, 2007. "The spirit of capitalism, asset pricing and growth in a small open economy," Journal of International Money and Finance, Elsevier, vol. 26(8), pages 1378-1402, December.
    12. Simon Cowan, 2004. "Utility Regulation and Risk Allocation: The Roles of Marginal Cost Pricing and Futures Markets," Journal of Regulatory Economics, Springer, vol. 26(1), pages 23-40, July.
    13. Michael Nwogugu, 2020. "Regret Theory And Asset Pricing Anomalies In Incomplete Markets With Dynamic Un-Aggregated Preferences," Papers 2005.01709, arXiv.org.
    14. Smith, William & Son, Young Seob, 2005. "Can the desire to conserve our natural resources be self-defeating?," Journal of Environmental Economics and Management, Elsevier, vol. 49(1), pages 52-67, January.
    15. Asiye Aydilek & Harun Aydilek, 2020. "An optimization model of retiree decisions under recursive utility with housing," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 44(2), pages 258-277, April.
    16. Echevarría, Cruz A., 2012. "Income tax progressivity, physical capital, aggregate uncertainty and long-run growth in an OLG economy," Journal of Macroeconomics, Elsevier, vol. 34(4), pages 955-974.
    17. Gregory Thwaites, 2006. "Optimal emerging market fiscal policy when trend output growth is unobserved," Bank of England working papers 308, Bank of England.

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