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Approximation Errors of Perturbation Methods in Solving a Class of Dynamic Stochastic General Equilibrium Models

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Abstract

We establish the standard procedures in solving a class of dynamic stochastic general equilibrium models with a second-order approximation to the policy function. The innovation is that the means of exogenous shocks vary with the variances. The numerical results show that second-order perturbation methods generate large approximation errors regarding to the responses of policy functions to shocks.

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References

  • Burnside C. (1998) Solving asset pricing models with gaussian shocks. Journal of Economic Dynamics and Control 22(3): 329–340

    Article  Google Scholar 

  • Collard F., Juillard M. (2001) Accuracy of stochastic perturbation methods: The case of asset pricing models. Journal of Economic Dynamics and Control 25(6–7): 979–999

    Article  Google Scholar 

  • Fuchs-Schündeln N. (2008) The response of household saving to the large shock of german reunification. American Economic Review 98(5): 1798–1828

    Article  Google Scholar 

  • Imrohoruglu A. (1989) Cost of business cycles with indivisibilities and liquidity constraints. Journal of Political Economy 97(6): 83–1364

    Google Scholar 

  • Judd K. L. (1998) Numerical methods in economics. The MIT Press, Cambridge, MA

    Google Scholar 

  • Krusell P., Smith A. A. (1999) On the welfare effects of eliminating business cycles. Review of Economic Dynamics 2(1): 245–272

    Article  Google Scholar 

  • Lucas R. J. (1987) Models of business cycles. Basil Blackwell, Oxford, England

    Google Scholar 

  • Schmitt-Grohé S., Uribe M. (2004) Solving dynamic general equilibrium models using a second-order approximation to the policy function. Journal of Economic Dynamics and Control 28: 755–775

    Article  Google Scholar 

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Correspondence to Xuan Liu.

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Liu, X., Cui, Z. Approximation Errors of Perturbation Methods in Solving a Class of Dynamic Stochastic General Equilibrium Models. Comput Econ 38, 107–128 (2011). https://doi.org/10.1007/s10614-011-9265-z

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  • DOI: https://doi.org/10.1007/s10614-011-9265-z

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