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Elasticities of Substitution in Real Business Cycle Models with Home Production

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  • John Y. Campbell
  • Sydney Ludvigson

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), when the utility function is additively separable over home and market consumption. 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 two fundamental properties in order to match key aspects of the U.S. aggregate 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.

Suggested Citation

  • John Y. Campbell & Sydney Ludvigson, 1998. "Elasticities of Substitution in Real Business Cycle Models with Home Production," NBER Working Papers 6763, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:6763
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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.
    4. 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).
    5. Orazio P. Attanasio & Guglielmo Weber, 1993. "Consumption Growth, the Interest Rate and Aggregation," Review of Economic Studies, Oxford University Press, vol. 60(3), pages 631-649.
    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.
    15. Eisner, Robert, 1988. "Extended Accounts for National Income and Product," Journal of Economic Literature, American Economic Association, vol. 26(4), pages 1611-1684, December.
    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. Ellen R. McGrattan & Richard Rogerson & Randall Wright, 1993. "Household production and taxation in the stochastic growth model," Staff Report 166, Federal Reserve Bank of Minneapolis.
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