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文章基本信息

  • 标题:Analytical and Numerical Solution of a Poisson RBC model
  • 本地全文:下载
  • 作者:Schlegel, Christoph
  • 期刊名称:Dresden Discussion Paper Series in Economics / Dresden University of Technology, Faculty of Business Management and Economics
  • 印刷版ISSN:0945-4829
  • 出版年度:2009
  • 卷号:1
  • 出版社:Dresden
  • 摘要:This paper analyses a RBC model in continuous time featuring deterministic incremental development of technology and stochastic fundamental inventions arriving according to a Poisson process. Other than in standard RBC models, shocks are uncorrelated, irregular and rather seldom. In two special cases analytical solutions are presented. In the general case a delay differential equation (DDE) has to be solved. Standard numerical solution methods fail, because the steady state is path dependent. A new solution based on a modified method of steps for DDEs provides not only approximations but also upper and lower bounds for optimal consumption path and steady state.
  • 关键词:Business cycle models with poisson shocks, RBC models in continuous time, Delay differential equations.
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