Linear Methods are often used to compute approximate solutions to dynamic models, as these models often cannot be solved analytically. Linear methods are very popular, as they can easily be implemented. Also, they provide a useful starting point for understanding more elaborate numerical...

This short note studies formally the common practice of log-linearizing stochastic economic models. We make precise the conditions under which stability of the original model can be inferred from that of the linearized model. A transformation to recover the stochastic equilibrium of the former...