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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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  1. Gary Hansen, 2010. "Indivisible Labor and the Business Cycle," Levine's Working Paper Archive 233, David K. Levine.
  2. Hall, Robert E., 1980. "Labor supply and aggregate fluctuations," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 12(1), pages 7-33, January.
  3. Prescott, Edward C., 1986. "Theory ahead of business-cycle measurement," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 25(1), pages 11-44, January.
  4. Aiyagari, S. Rao & Christiano, Lawrence J. & Eichenbaum, Martin, 1992. "The output, employment, and interest rate effects of government consumption," Journal of Monetary Economics, Elsevier, vol. 30(1), pages 73-86, October.
  5. Baxter, Marianne & Crucini, Mario J, 1993. "Explaining Saving-Investment Correlations," American Economic Review, American Economic Association, vol. 83(3), pages 416-36, June.
  6. 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.
  7. Lars Peter Hansen & Thomas J. Sargent, 1990. "Recursive Linear Models of Dynamic Economies," NBER Working Papers 3479, National Bureau of Economic Research, Inc.
  8. Plosser, Charles I, 1989. "Understanding Real Business Cycles," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 51-77, Summer.
  9. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
  10. 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.
  11. repec:fth:harver:1435 is not listed on IDEAS
  12. 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.
  13. 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.
  14. Campbell, John Y, 1993. "Intertemporal Asset Pricing without Consumption Data," American Economic Review, American Economic Association, vol. 83(3), pages 487-512, June.
  15. 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.
  16. Lawrence J. Christiano & Martin Eichenbaum, 1992. "Liquidity effects, monetary policy and the business cycle," Working Paper Series, Macroeconomic Issues 92-15, Federal Reserve Bank of Chicago.
  17. King, R.G. & Baxter, M., 1990. "Productive Externalities And Cyclical Volatility," RCER Working Papers 245, University of Rochester - Center for Economic Research (RCER).
  18. Ellen R. McGrattan, 1991. "The macroeconomic effects of distortionary taxation," Discussion Paper / Institute for Empirical Macroeconomics 37, Federal Reserve Bank of Minneapolis.
  19. 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.
  20. Barro, Robert J, 1981. "Output Effects of Government Purchases," Journal of Political Economy, University of Chicago Press, vol. 89(6), pages 1086-1121, December.
  21. 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.
  22. Christiano, Lawrence J & Eichenbaum, Martin, 1992. "Current Real-Business-Cycle Theories and Aggregate Labor-Market Fluctuations," American Economic Review, American Economic Association, vol. 82(3), pages 430-50, June.
  23. John Y. Campbell, Robert J. Shiller, 1988. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," Review of Financial Studies, Society for Financial Studies, vol. 1(3), pages 195-228.
  24. Christiano, Lawrence J & Eichenbaum, Martin & Marshall, David, 1991. "The Permanent Income Hypothesis Revisited," Econometrica, Econometric Society, vol. 59(2), pages 397-423, March.
  25. Robert E. Hall, 1981. "Intertemporal Substitution in Consumption," NBER Working Papers 0720, National Bureau of Economic Research, Inc.
  26. John B. Taylor & Harald Uhlig, 1990. "Solving Nonlinear Stochastic Growth Models: A Comparison of Alternative Solution Methods," NBER Working Papers 3117, National Bureau of Economic Research, Inc.
  27. King, R.G. & Baxter, M., 1990. "Fiscal Policy In General Equilibrium," RCER Working Papers 244, University of Rochester - Center for Economic Research (RCER).
  28. Lawrence H. Summers, 1986. "Some skeptical observations on real business cycle theory," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 23-27.
  29. Christiano, Lawrence J., 1988. "Why does inventory investment fluctuate so much?," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 247-280.
  30. 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.
  31. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
  32. 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.
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