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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, 2000. "Intertemporal Substitution, Risk Aversion, and Economic Performance in a Stochastically Growing Open Economy," Working Papers 0002, University of Washington, Department of Economics.
    • Handle: RePEc:udb:wpaper:0002
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    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    2. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-987, December.
    3. Devereux, Michael B & Smith, Gregor W, 1994. "International Risk Sharing and Economic Growth," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 535-550, August.
    4. Turnovsky, Stephen J., 1993. "The impact of terms of trade shocks on a small open economy: A stochastic analysis," Journal of International Money and Finance, Elsevier, vol. 12(3), pages 278-297, June.
    5. Obstfeld, Maurice, 1994. "Evaluating risky consumption paths: The role of intertemporal substitutability," European Economic Review, Elsevier, vol. 38(7), pages 1471-1486, August.
    6. Obstfeld, Maurice, 1994. "Risk-Taking, Global Diversification, and Growth," American Economic Review, American Economic Association, vol. 84(5), pages 1310-1329, December.
    7. McLaughlin, Kenneth J., 1995. "Intertemporal substitution and [lambda]-constant comparative statics," Journal of Monetary Economics, Elsevier, vol. 35(1), pages 193-213, February.
    8. Ramey, Garey & Ramey, Valerie A, 1995. "Cross-Country Evidence on the Link between Volatility and Growth," American Economic Review, American Economic Association, vol. 85(5), pages 1138-1151, December.
    9. George M. Constantinides & John B. Donaldson & Rajnish Mehra, 2002. "Junior Can't Borrow: A New Perspective on the Equity Premium Puzzle," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 269-296.
    10. Turnovsky, Stephen J. & Chattopadhyay, Pradip, 2003. "Volatility and growth in developing economies: some numerical results and empirical evidence," Journal of International Economics, Elsevier, vol. 59(2), pages 267-295, March.
    11. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 29-42.
    12. Attanasio, Orazio P & Weber, Guglielmo, 1995. "Is Consumption Growth Consistent with Intertemporal Optimization? Evidence from the Consumer Expenditure Survey," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1121-1157, December.
    13. Jonathan Eaton, 1981. "Fiscal Policy, Inflation and the Accumulation of Risky Capital," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(3), pages 435-445.
    14. Masao Ogaki & Andrew Atkeson, 1997. "Rate Of Time Preference, Intertemporal Elasticity Of Substitution, And Level Of Wealth," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 564-572, November.
    15. Orazio P. Attanasio & Guglielmo Weber, 1993. "Consumption Growth, the Interest Rate and Aggregation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 631-649.
    16. Ogaki, Masao & Zhang, Qiang, 2001. "Decreasing Relative Risk Aversion and Tests of Risk Sharing," Econometrica, Econometric Society, vol. 69(2), pages 515-526, March.
    17. Asea, Patrick K. & Turnovsky, Stephen J., 1998. "Capital income taxation and risk-taking in a small open economy," Journal of Public Economics, Elsevier, vol. 68(1), pages 55-90, April.
    18. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    19. Grinols, Earl L. & Turnovsky, Stephen J., 1994. "Exchange rate determination and asset prices in a stochastic small open economy," Journal of International Economics, Elsevier, vol. 36(1-2), pages 75-97, February.
    20. John Y. Campbell & N. Gregory Mankiw, 1989. "Consumption, Income, and Interest Rates: Reinterpreting the Time Series Evidence," NBER Chapters, in: NBER Macroeconomics Annual 1989, Volume 4, pages 185-246, National Bureau of Economic Research, Inc.
    21. Kandel, Shmuel & Stambaugh, Robert F., 1991. "Asset returns and intertemporal preferences," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 39-71, February.
    22. repec:bla:econom:v:63:y:1996:i:251:p:495-512 is not listed on IDEAS
    23. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    24. Svensson, Lars E. O., 1989. "Portfolio choice with non-expected utility in continuous time," Economics Letters, Elsevier, vol. 30(4), pages 313-317, October.
    25. repec:fth:harver:1435 is not listed on IDEAS
    26. Corsetti, Giancarlo, 1997. "A portfolio approach to endogenous growth: equilibrium and optimal policy," Journal of Economic Dynamics and Control, Elsevier, vol. 21(10), pages 1627-1644, August.
    27. Rebelo, Sergio, 1992. "Growth in open economies," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 36(1), pages 5-46, July.
    28. Stephen J. Turnovsky, 2000. "Government Policy in a Stochastic Growth Model with Elastic Labor Supply," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 2(4), pages 389-433, October.
    29. Masao Ogaki & Carmen M. Reinhart, 1998. "Measuring Intertemporal Substitution: The Role of Durable Goods," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 1078-1098, October.
    30. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-286, April.
    31. N. Gregory Mankiw & Julio J. Rotemberg & Lawrence H. Summers, 1985. "Intertemporal Substitution in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(1), pages 225-251.
    32. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    33. Kormendi, Roger C. & Meguire, Philip G., 1985. "Macroeconomic determinants of growth: Cross-country evidence," Journal of Monetary Economics, Elsevier, vol. 16(2), pages 141-163, September.
    34. Gertler, Mark & Grinols, Earl, 1982. "Monetary randomness and investment," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 239-258.
    35. repec:bla:econom:v:65:y:1998:i:259:p:401-27 is not listed on IDEAS
    36. Smith, William T., 1996. "Taxes, uncertainty, and long-term growth," European Economic Review, Elsevier, vol. 40(8), pages 1647-1664, November.
    37. Turnovsky, Stephen J. & Grinols, Earl, 1996. "Optimal government finance policy and exchange rate management in a stochastically growing open economy," Journal of International Money and Finance, Elsevier, vol. 15(5), pages 687-716, October.
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    Cited by:

    1. Arif Oduncu, 2012. "Determinants of Precautionary Savings : Elasticity of Intertemporal Substitution vs. Risk Aversion," Working Papers 1227, Research and Monetary Policy Department, Central Bank of the Republic of Turkey.
    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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