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Solving linear rational expectations models with lagged expectations quickly and easily

机译:快速,轻松地解决具有滞后期望的线性理性预期模型

摘要

A solution method is derived in this paper for solving a system of linear rational-expectations equation with lagged expectations (e.g., models incorporating sticky information) using the method of undetermined coefficients for the infinite MA representation. The method applies a combination of a Generalized Schur Decomposition familiar elsewhere in the literature and a simple system of linear equations when lagged expectations are present to the infinite MA representation. Execution is faster, applicability more general, and use more straight-forward than with existing algorithms. Current methods of truncating lagged expectations are shown to not generally be innocuous and the use of such methods are rendered obsolete by the tremendous gains in computational efficiency of the method here which allows for a solution to floating-point accuracy in a fraction of the time required by standard methods. The associated computational application of the method provides impulse responses to anticipated and unanticipated innovations, simulations, and frequency-domain and simulated moments.
机译:本文提出了一种解决方法,该方法使用不确定的系数表示方法来求解具有滞后期望的线性有理期望方程组(例如,包含粘性信息的模型)。该方法将文献中其他地方所熟悉的广义Schur分解与线性方程组的组合应用于滞后期望的无限MA表示。与现有算法相比,执行速度更快,适用性更通用并且使用更简单。事实证明,当前的截断期望值截断方法通常不是无害的,并且由于该方法的计算效率显着提高,因此过时的方法已经过时,从而可以在所需时间的一小部分内解决浮点精度通过标准方法。该方法的相关计算应用为预期和未预期的创新,模拟以及频域和模拟力矩提供了脉冲响应。

著录项

  • 作者

    Meyer-Gohde Alexander;

  • 作者单位
  • 年度 2007
  • 总页数
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类

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