Alternative Methods for Solving Heterogeneous Firm Models
比较了五种解决异质性企业模型的方法,发现Krusell-Smith算法在聚合状态投影法中表现最佳,而参数化加扰动法更快且在聚合扰动法中表现最佳,并指出了投影法与扰动法的不同优缺点。
I implement and compare five solution methods for a benchmark heterogeneous firms model with lumpy capital adjustment and aggregate uncertainty. The Krusell–Smith algorithm performs best within a group of methods using projection in the aggregate states. Another technique, Parameterization plus Perturbation, is much faster and performs best within a group of methods using perturbation in aggregates. However, projection and perturbation have nonoverlapping strengths and weaknesses. I highlight the resulting trade‐offs with several model extensions. I recommend that researchers apply projection methods to cases with large shocks or nonlinear dynamics, while cases with explicitly distributional channels at work favor perturbation.