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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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    5. 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.
    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. 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.
    8. 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.
    9. Greenwood, J. & Rogerson, R. & Wright, R., 1993. "Household Production in Real Business Cycle Thoery," RCER Working Papers 347, University of Rochester - Center for Economic Research (RCER).
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    14. 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.
    15. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
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    19. repec:fth:harver:1435 is not listed on IDEAS
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