A Simple and Intuitive Method to Solve Small Rational Expectations Models

Abstract

We present a nonlinear solution method of saddlepoint dynamics in discrete time optimization problems. It is based on the backward attractivity of the stable manifold and is very easy to implement. After an introduction to the general method we present two applications. First, we consider the deterministic neoclassical growth model and demonstrate accuracy and stability of the method. Second, we solve a basic real business cycle model.