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Elasticities of Substitution in Real Business Cycle Models with Home Protection

  • Campbell, John Y
  • Ludvigson, Sydney

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.

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Article provided by Blackwell Publishing in its journal Journal of Money, Credit and Banking.

Volume (Year): 33 (2001)
Issue (Month): 4 (November)
Pages: 847-75

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Handle: RePEc:mcb:jmoncb:v:33:y:2001:i:4:p:847-75
Contact details of provider: Web page: http://www.blackwellpublishing.com/journal.asp?ref=0022-2879

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  1. John Y. Campbell & N. Gregory Mankiw, 1991. "Permanent Income, Current Income, and Consumption," NBER Working Papers 2436, National Bureau of Economic Research, Inc.
  2. 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.
  3. Peter Rupert & Richard Rogerson & Randall Wright, 1994. "Estimating substitution elasticities in household production models," Staff Report 186, Federal Reserve Bank of Minneapolis.
  4. Robert E. Hall, 1981. "Intertemporal Substitution in Consumption," NBER Working Papers 0720, National Bureau of Economic Research, Inc.
  5. 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).
  6. 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.
  7. 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.
  8. 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.
  9. repec:fth:harver:1435 is not listed on IDEAS
  10. 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.
  11. Ellen McGrattan & Richard Rogerson & Randall Wright, 1993. "Household production and taxation in the stochastic growth model," Staff Report 166, Federal Reserve Bank of Minneapolis.
  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. 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.
  14. Baxter, Marianne & Crucini, Mario J, 1993. "Explaining Saving-Investment Correlations," American Economic Review, American Economic Association, vol. 83(3), pages 416-36, June.
  15. Eisner, Robert, 1988. "Extended Accounts for National Income and Product," Journal of Economic Literature, American Economic Association, vol. 26(4), pages 1611-84, December.
  16. 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.
  17. Jess Benhabib & Richard Rogerson & Randall Wright, 1991. "Homework in macroeconomics: household production and aggregate fluctuations," Staff Report 135, Federal Reserve Bank of Minneapolis.
  18. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  19. 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.
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