We show that the Value Function Iteration (VFI) algorithm has difficulties approximating models with jump discontinuities in policy functions. We find that VFI fails to accurately identify both the location and size of jump discontinuities while the Endogenous Grid Method (EGM) and the Finite...

We show that the standard Value Function Iteration (VFI) algorithm has difficulties approximating models with jump discontinuities in policy functions. We find that VFI fails to accurately identify the location and size of jump discontinuities while other methods - such as the Endogenous Grid...

Using a stylized two-period model we compare portfolio solutions from two local solution approaches - the approach of Judd and Guu (2001) and the approach of Devereux and Sutherland (2010, 2011) - with the true nonlinear portfolio solution.

I construct risk-corrected approximations of the policy functions of DSGEmodels around the stochastic steady state and ergodic mean that are linear in the state variables. The resulting approximations are uniformly more accurate than standard linear approximations and capture the dynamics of...

We compare the performance of the perturbation-based (local) portfolio solution method of Devereux and Sutherland (2010a, 2011) with a global solution method. We find that the local method performs very well when the model is designed to capture stylized macroeconomic facts and countries/agents...

Using a stylized two period model we obtain portfolio solutions from two solution approaches that belong to the class of local approximation methods – the approach of Judd and Guu (2001, hereafter ’JG’) and the approach of Devereux and Sutherland (2010, 2011, hereafter ’DS’) – and...

We present a new approach to the approximation of equilibrium solutions to nonlinear rational expectations models that applies to any order of approximation. The approach relies on a particular version of Taylor series approximations - the differential version - and on a scalar perturbation of...