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Elasticities of substitution in real business cycle models with home production

  • John Y. Campbell
  • Sydney Ludvigson

Recently, there has been considerable interest in modifying the standard real business cycle model to include home production. In this paper, we construct a simple model of home production that demonstrates the connection between the intertemporal elasticity of substitution (IES), and the elasticity of substitution between home and market consumption. Understanding this connection is important because there is much larger body of empirical evidence on the size of the IES than there is on the size of the static home-market substitution elasticity. We use this framework to shed light on the properties of a home production model with empirically plausible (lower) values of the IES. In particular, we find that such a model must display two fundamental properties in order to reproduce certain key aspects of the U.S. aggregate data: first, the steady state growth rate of technology must be the same across sectors. Second, out of steady state, shocks to technology must be sufficiently positively correlated across sectors.

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Paper provided by Federal Reserve Bank of New York in its series Research Paper with number 9733.

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Date of creation: 1997
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Handle: RePEc:fip:fednrp:9733
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  1. 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.
  2. 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.
  3. Jess Benhabib & Richard Rogerson & Randall Wright, 1991. "Homework in macroeconomics: household production and aggregate fluctuations," Staff Report 135, Federal Reserve Bank of Minneapolis.
  4. 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 1188-214, December.
  5. 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.
  6. Attanasio, Orazio P & Weber, Guglielmo, 1993. "Consumption Growth, the Interest Rate and Aggregation," Review of Economic Studies, Wiley Blackwell, vol. 60(3), pages 631-49, July.
  7. Gary Hansen, 2010. "Indivisible Labor and the Business Cycle," Levine's Working Paper Archive 233, David K. Levine.
  8. Peter Rupert & Richard Rogerson & Randall Wright, 1994. "Estimating substitution elasticities in household production models," Staff Report 186, Federal Reserve Bank of Minneapolis.
  9. Campbell, John Y. & Mankiw, N. Gregory, 1990. "Permanent Income, Current Income, and Consumption," Scholarly Articles 3353762, Harvard University Department of Economics.
  10. John Y. Campbell & N. Gregory Mankiw, 1989. "Consumption, Income, and Interest Rates: Reinterpreting the Time Series Evidence," NBER Working Papers 2924, National Bureau of Economic Research, Inc.
  11. 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).
  12. 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.
  13. Robert E. Hall, 1981. "Intertemporal Substitution in Consumption," NBER Working Papers 0720, National Bureau of Economic Research, Inc.
  14. Eichenbaum, Martin S & Hansen, Lars Peter & Singleton, Kenneth J, 1988. "A Time Series Analysis of Representative Agent Models of Consumption and Leisure Choice under Uncertainty," The Quarterly Journal of Economics, MIT Press, vol. 103(1), pages 51-78, February.
  15. repec:fth:harver:1435 is not listed on IDEAS
  16. Baxter, M. & Crucini, M.J., 1990. "Explaining Saving/Investment Correlation," RCER Working Papers 224, University of Rochester - Center for Economic Research (RCER).
  17. Ellen McGrattan & Richard Rogerson & Randall Wright, 1993. "Household production and taxation in the stochastic growth model," Staff Report 166, Federal Reserve Bank of Minneapolis.
  18. Juster, F. Thomas & Stafford, Frank P., 1990. "The Allocation of Time: Empirical Findings, Behavioural Models, and Problems of Measurement," Working Paper Series 258, Research Institute of Industrial Economics.
  19. Eisner, Robert, 1988. "Extended Accounts for National Income and Product," Journal of Economic Literature, American Economic Association, vol. 26(4), pages 1611-84, December.
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