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Inspecting the Mechanism: An Analytical Approach to the Stochastic Growth Model

  • John Y. Campbell

This paper argues that a clear understanding of the stochastic growth model can best be achieved by working out an approximate analytical solution. The proposed solution method replaces the true budget constraints and Euler equations of economic agents with loglinear approximations. The model then becomes a system of loglinear expectational difference equations, which can be solved by the method of undetermined coefficients. The paper uses this technique to study shocks to technology and government consumption. It emphasizes that the persistence of shocks is an important determinant of their macroeconomic effects.

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File URL: http://www.nber.org/papers/w4188.pdf
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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 4188.

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Date of creation: Oct 1992
Date of revision:
Publication status: published as Journal of Monetary Economics, vol. 33 (June 1994), pp. 463-506.
Handle: RePEc:nbr:nberwo:4188
Note: EFG
Contact details of provider: Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.
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Web page: http://www.nber.org
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  1. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
  2. Lars Peter Hansen & Thomas J. Sargent, 1993. "Recursive linear models of dynamic economies," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  3. Plosser, C.I., 1989. "Understanding Real Business Cycles," Papers 89-03, Rochester, Business - General.
  4. Edward C. Prescott, 1986. "Theory ahead of business cycle measurement," Staff Report 102, Federal Reserve Bank of Minneapolis.
  5. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  6. Martin Eichenbaum & Lawrence J. Christiano, 1992. "Liquidity Effects, Monetary Policy, and the Business Cycle," NBER Working Papers 4129, National Bureau of Economic Research, Inc.
  7. Barro, Robert J, 1981. "Output Effects of Government Purchases," Journal of Political Economy, University of Chicago Press, vol. 89(6), pages 1086-1121, December.
  8. John Y. Campbell, 1992. "Intertemporal Asset Pricing Without Consumption Data," NBER Working Papers 3989, National Bureau of Economic Research, Inc.
  9. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : II. New directions," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 309-341.
  10. Lawrence J. Christiano & Martin Eichenbaum, 1990. "Current real business cycle theories and aggregate labor market fluctuations," Discussion Paper / Institute for Empirical Macroeconomics 24, Federal Reserve Bank of Minneapolis.
  11. John Y. Campbell & Robert J. Shiller, 1986. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," NBER Working Papers 2100, National Bureau of Economic Research, Inc.
  12. Hall, Robert E., 1980. "Labor supply and aggregate fluctuations," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 12(1), pages 7-33, January.
  13. King, R.G. & Baxter, M., 1990. "Productive Externalities And Cyclical Volatility," RCER Working Papers 245, University of Rochester - Center for Economic Research (RCER).
  14. McGrattan, Ellen R., 1994. "The macroeconomic effects of distortionary taxation," Journal of Monetary Economics, Elsevier, vol. 33(3), pages 573-601, June.
  15. Richard Rogerson, 2010. "Indivisible Labor, Lotteries and Equilibrium," Levine's Working Paper Archive 250, David K. Levine.
  16. 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.
  17. Baxter, M. & Crucini, M.J., 1990. "Explaining Saving/Investment Correlation," RCER Working Papers 224, University of Rochester - Center for Economic Research (RCER).
  18. Lawrence J. Christiano & Martin Eichenbaum & David Marshall, 1990. "The permanent income hypothesis revisited," Staff Report 129, Federal Reserve Bank of Minneapolis.
  19. Robert E. Hall, 1981. "Intertemporal Substitution in Consumption," NBER Working Papers 0720, National Bureau of Economic Research, Inc.
  20. Lawrence H. Summers, 1986. "Some skeptical observations on real business cycle theory," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 23-27.
  21. S. Rao Aiyagari & Lawrence J. Christiano & Martin Eichenbaum, 1990. "The output, employment, and interest rate effects of government consumption," Working Papers 456, Federal Reserve Bank of Minneapolis.
  22. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
  23. Baxter, Marianne & King, Robert G, 1993. "Fiscal Policy in General Equilibrium," American Economic Review, American Economic Association, vol. 83(3), pages 315-34, June.
  24. Christiano, Lawrence J., 1988. "Why does inventory investment fluctuate so much?," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 247-280.
  25. Taylor, John B & Uhlig, Harald, 1990. "Solving Nonlinear Stochastic Growth Models: A Comparison of Alternative Solution Methods," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 1-17, January.
  26. Flavin, Marjorie A, 1981. "The Adjustment of Consumption to Changing Expectations about Future Income," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 974-1009, October.
  27. Jeremy Greenwood & Gregory W. Huffman, 1991. "Tax analysis in a real business cycle model: on measuring Harberger triangles and Okun gaps," Staff Report 138, Federal Reserve Bank of Minneapolis.
  28. 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.
  29. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-87, December.
  30. repec:fth:harver:1435 is not listed on IDEAS
  31. Long, John B, Jr & Plosser, Charles I, 1983. "Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 91(1), pages 39-69, February.
  32. Simon, Julian L, 1990. "Great and Almost-Great Magnitudes in Economics," Journal of Economic Perspectives, American Economic Association, vol. 4(1), pages 149-56, Winter.
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