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

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John Y. Campbell

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Abstract

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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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
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Publication status: published as Journal of Monetary Economics, vol. 33 (June 1994), pp. 463-506.
Handle: RePEc:nbr:nberwo:4188

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  1. Hall, Robert E., 1980. "Labor supply and aggregate fluctuations," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 12(1), pages 7-33, January. [Downloadable!] (restricted)
  2. Edward C. Prescott, 1986. "Theory ahead of business cycle measurement," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 9-22. [Downloadable!]
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  3. 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. [Downloadable!] (restricted)
  4. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-57, April. [Downloadable!] (restricted)
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  5. 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.
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  6. 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. [Downloadable!] (restricted)
  7. Plosser, Charles I, 1989. "Understanding Real Business Cycles," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 51-77, Summer. [Downloadable!] (restricted)
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  8. King, R.G. & Baxter, M., 1990. "Productive Externalities And Cyclical Volatility," RCER Working Papers 245, University of Rochester - Center for Economic Research (RCER).
  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. [Downloadable!] (restricted)
  10. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
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  12. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November. [Downloadable!] (restricted)
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  13. Lawrence H. Summers, 1986. "Some skeptical observations on real business cycle theory," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 23-27. [Downloadable!]
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  14. Greenwood, J. & Huffman, G., 1991. "Tax Analysis in A Real Business Cycle Model: On Measuring Harberger Triangles and Okun Gaps," UWO Department of Economics Working Papers 9103, University of Western Ontario, Department of Economics.
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  15. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January. [Downloadable!] (restricted)
  16. Ellen R. McGrattan, 1991. "The macroeconomic effects of distortionary taxation," Discussion Paper / Institute for Empirical Macroeconomics 37, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  17. Barro, Robert J, 1981. "Output Effects of Government Purchases," Journal of Political Economy, University of Chicago Press, vol. 89(6), pages 1086-1121, December. [Downloadable!] (restricted)
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  18. 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.
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  19. John Y. Campbell, Robert J. Shiller, 1988. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 1(3), pages 195-228. [Downloadable!] (restricted)
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  20. repec:fth:harver:1435 is not listed on IDEAS
  21. King, R.G. & Baxter, M., 1990. "Fiscal Policy In General Equilibrium," RCER Working Papers 244, University of Rochester - Center for Economic Research (RCER).
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  22. Baxter, M. & Crucini, M.J., 1990. "Explaining Saving/Investment Correlation," RCER Working Papers 224, University of Rochester - Center for Economic Research (RCER).
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  23. Christiano, Lawrence J., 1988. "Why does inventory investment fluctuate so much?," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 247-280. [Downloadable!] (restricted)
  24. Robert E. Hall, 1980. "Labor Supply and Aggregate Fluctuations," NBER Working Papers 0385, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  25. 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. [Downloadable!] (restricted)
  26. Christiano, Lawrence J & Eichenbaum, Martin & Marshall, David, 1991. "The Permanent Income Hypothesis Revisited," Econometrica, Econometric Society, vol. 59(2), pages 397-423, March. [Downloadable!] (restricted)
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  27. 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. [Downloadable!] (restricted)
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