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Elasticities of Substitution in Real Business Cycle Models with Home Protection

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  • Campbell, John Y
  • Ludvigson, Sydney

Abstract

This paper constructs a simple model of home production that demonstrates the connection between the intertemporal elasticity of substitution in market consumption (IES) and the static elasticity of substitution between home and market consumption (SES). Understanding this connection is important because there is a large body of empirical evidence suggesting that the IES is small, but little evidence on the size of the SES. We use our framework to shed light on the properties of a home production model with a low IES. We find that such a model must have three fundamental properties in order to match key aspects of aggregate U.S. data. First, the steady-state growth rate of technology must be the same across sectors. Second, shocks to technology must be sufficiently positively correlated across sectors. Third, capital must be used more intensively in the market sector than in the home sector. A home production model with these three properties can be surprisingly successful at reconciling the RBC paradigm with evidence for a low IES.

Suggested Citation

  • Campbell, John Y & Ludvigson, Sydney, 2001. "Elasticities of Substitution in Real Business Cycle Models with Home Protection," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(4), pages 847-875, November.
    • Handle: RePEc:mcb:jmoncb:v:33:y:2001:i:4:p:847-75
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    References listed on IDEAS

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    1. Greenwood, Jeremy & Hercowitz, Zvi, 1991. "The Allocation of Capital and Time over the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1188-1214, December.
    2. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
    3. Benhabib, Jess & Rogerson, Richard & Wright, Randall, 1991. "Homework in Macroeconomics: Household Production and Aggregate Fluctuations," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1166-1187, December.
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    6. Rupert, Peter & Rogerson, Richard & Wright, Randall, 1995. "Estimating Substitution Elasticities in Household Production Models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 179-193, June.
    7. Campbell, John Y., 1999. "Asset prices, consumption, and the business cycle," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 19, pages 1231-1303, Elsevier.
    8. Urban J. Jermann & Marianne Baxter, 1999. "Household Production and the Excess Sensitivity of Consumption to Current Income," American Economic Review, American Economic Association, vol. 89(4), pages 902-920, September.
    9. Juster, F Thomas & Stafford, Frank P, 1991. "The Allocation of Time: Empirical Findings, Behavioral Models, and Problems of Measurement," Journal of Economic Literature, American Economic Association, vol. 29(2), pages 471-522, June.
    10. 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.
    11. Beaudry, Paul & van Wincoop, Eric, 1996. "The Intertemporal Elasticity of Substitution: An Exploration Using a US Panel of State Data," Economica, London School of Economics and Political Science, vol. 63(251), pages 495-512, August.
    12. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    13. Campbell, John Y & Mankiw, N Gregory, 1990. "Permanent Income, Current Income, and Consumption," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(3), pages 265-279, July.
    14. Martin S. Eichenbaum & Lars Peter Hansen & Kenneth J. Singleton, 1988. "A Time Series Analysis of Representative Agent Models of Consumption and Leisure Choice Under Uncertainty," The Quarterly Journal of Economics, Oxford University Press, vol. 103(1), pages 51-78.
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    16. repec:fth:harver:1435 is not listed on IDEAS
    17. Campbell, John Y., 1994. "Inspecting the mechanism: An analytical approach to the stochastic growth model," Journal of Monetary Economics, Elsevier, vol. 33(3), pages 463-506, June.
    18. Baxter, Marianne & Crucini, Mario J, 1993. "Explaining Saving-Investment Correlations," American Economic Review, American Economic Association, vol. 83(3), pages 416-436, June.
    19. Richard Rogerson & Randall Wright & Ellen R. McGrattan, 1993. "Household production and taxation in the stochastic growth model," Staff Report 166, Federal Reserve Bank of Minneapolis.
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