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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. Lars Peter Hansen & Thomas J. Sargent, 1993. "Recursive linear models of dynamic economies," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  2. 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.
  3. 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.
  4. 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.
  5. Edward C. Prescott, 1986. "Theory ahead of business cycle measurement," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 9-22.
  6. Hall, Robert E., 1980. "Labor supply and aggregate fluctuations," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 12(1), pages 7-33, January.
  7. Christiano, Lawrence J & Eichenbaum, Martin & Marshall, David, 1991. "The Permanent Income Hypothesis Revisited," Econometrica, Econometric Society, vol. 59(2), pages 397-423, March.
  8. Greenwood, Jeremy & Huffman, Gregory W., 1991. "Tax analysis in a real-business-cycle model : On measuring Harberger triangles and Okun gaps," Journal of Monetary Economics, Elsevier, vol. 27(2), pages 167-190, April.
  9. S. Rao Aiyagari & Lawrence J. Christiano & Martin Eichenbaum, 1990. "The output, employment, and interest rate effects of government consumption," Working Paper Series, Macroeconomic Issues 90-10, Federal Reserve Bank of Chicago.
  10. Martin Eichenbaum & Lawrence J. Christiano, 1992. "Liquidity Effects, Monetary Policy, and the Business Cycle," NBER Working Papers 4129, National Bureau of Economic Research, Inc.
  11. Campbell, John, 1993. "Intertemporal Asset Pricing Without Consumption Data," Scholarly Articles 3221491, Harvard University Department of Economics.
  12. 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.
  13. Robert J. Shiller & John Y. Campbell, 1986. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," Cowles Foundation Discussion Papers 812, Cowles Foundation for Research in Economics, Yale University.
  14. McGrattan, Ellen R., 1994. "The macroeconomic effects of distortionary taxation," Journal of Monetary Economics, Elsevier, vol. 33(3), pages 573-601, June.
  15. repec:fth:harver:1435 is not listed on IDEAS
  16. King, R.G. & Baxter, M., 1990. "Productive Externalities And Cyclical Volatility," RCER Working Papers 245, University of Rochester - Center for Economic Research (RCER).
  17. Robert J. Barro, 1980. "Output Effects of Government Purchases," NBER Working Papers 0432, National Bureau of Economic Research, Inc.
  18. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  19. Robert E. Hall, 1981. "Intertemporal Substitution in Consumption," NBER Working Papers 0720, National Bureau of Economic Research, Inc.
  20. 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.
  21. Christiano, Lawrence J., 1988. "Why does inventory investment fluctuate so much?," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 247-280.
  22. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
  23. Plosser, C.I., 1989. "Understanding Real Business Cycles," Papers 89-03, Rochester, Business - General.
  24. Martin S. Eichenbaum & Lars Peter Hansen & Kenneth J. Singleton, 1986. "A Time Series Analysis of Representative Agent Models of Consumption andLeisure Choice Under Uncertainty," NBER Working Papers 1981, National Bureau of Economic Research, Inc.
  25. King, R.G. & Baxter, M., 1990. "Fiscal Policy In General Equilibrium," RCER Working Papers 244, University of Rochester - Center for Economic Research (RCER).
  26. 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.
  27. 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.
  28. 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.
  29. Baxter, M. & Crucini, M.J., 1990. "Explaining Saving/Investment Correlation," RCER Working Papers 224, University of Rochester - Center for Economic Research (RCER).
  30. 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.
  31. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
  32. Lawrence H. Summers, 1986. "Some skeptical observations on real business cycle theory," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 23-27.
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