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How well do linear approximation methods work? results for suboptimal dynamic equilibria

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Author Info
Michael Dotsey
Ching-Sheng Mao
Abstract

Real business cycle models have recently been applied to settings in which equilibria are suboptimal. In most models the solutions are approximated using some type of linearization with little attention being given to the accuracy of the approximation. In this paper we investigate three different approximation methods in the context of a neoclassical model with a production tax and compare their solutions with solutions obtained from a discrete state space solution to the Euler equations of the model.

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Paper provided by Federal Reserve Bank of Richmond in its series Working Paper with number 90-11.

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Date of creation: 1990
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Handle: RePEc:fip:fedrwp:90-11

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Keywords: Business cycles;

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  1. King, R.G. & Baxter, M., 1990. "Productive Externalities And Cyclical Volatility," RCER Working Papers 245, University of Rochester - Center for Economic Research (RCER).
  2. Alan J. Auerbach & James R. Hines Jr., 1988. "Investment Tax Incentives and Frequent Tax Reforms," NBER Working Papers 2492, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  3. Baxter, M., 1988. "Approximating Suboptimal Dynamic Equilibria: An Euler Equation Approach," RCER Working Papers 139, University of Rochester - Center for Economic Research (RCER).
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  4. Brock, William A. & Mirman, Leonard J., 1972. "Optimal economic growth and uncertainty: The discounted case," Journal of Economic Theory, Elsevier, vol. 4(3), pages 479-513, June. [Downloadable!] (restricted)
  5. Dotsey, Michael, 1990. "The Economic Effects of Production Taxes in a Stochastic Growth Model," American Economic Review, American Economic Association, vol. 80(5), pages 1168-82, December. [Downloadable!] (restricted)
  6. Wouter J. den Haan & Albert Marcet, 1993. "Accuracy in Simulations," Economics Working Papers 42, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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  7. Baxter, Marianne & Crucini, Mario J & Rouwenhorst, K Geert, 1990. "Solving the Stochastic Growth Model by a Discrete-State-Space, Euler-Equation Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 19-21, January.
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