We show how to use a simple perturbation method to solve non-linear rational expectation models. Drawing from the applied mathematics literature we propose a method consisting of series expansions of the non-linear system around a known solution. The variables are represented in terms of their...

The benefit from using second-order approximations tostochastic dynamic rational expec- tations models is explained. By example of the neoclassical growth model, this note as- sesses the accuracy of the obtained approximation. The implications for optimal policy are discussed.

We study the design of optimal monetary policy (Ramsey policies) in a model with sticky prices and unionized labour markets. Collective wage bargaining and unions monopoly power tend to dampen wage fluctuations and to amplify employment fluctuations relatively to a DNK model with walrasian...

Mankiw and Reis (2002) have proposed sticky information as an alternative to Calvo sticky prices in order to model the conventional view that i) inflation reacts with delay and gradually to a monetary policy shock, ii) announced and credible disinflations are contractionary and iii) inflation...

Over the past 15 years there has been remarkable progress in the specification and estimation of dynamic stochastic general equilibrium (DSGE) models. Central banks in developed and emerging market economies have become increasingly interested in their usefulness for policy analysis and...

Which are the main frictions and driving forces of business cycle dynamics in a small open economy? To answer this question we extend what is becoming the standard new Keynesian model in three dimensions. First, we incorporate frictions in the financing of the capital stock. Second, we model...

How can we explain the observed behavior of aggregate inflation in response to e.g. monetary policy changes? Mankiw and Reis (2002) have proposed sticky information as an alternative to Calvo sticky prices in order to model the conventional view that i) inflation reacts with delay and gradually...

This paper aims at providing macroeconomists with a detailed exposition of the New Keynesian DSGE model. Both the sticky price version and the sticky information variant are derived mathematically. Moreover, we simulate the models, also including lagged terms in the sticky price version, and...

We study the design of optimal monetary policy (Ramsey policies) in a model with sticky prices and unionized labour markets. Collective wage bargaining and unions monopoly power tend to dampen wage fluctuations and to amplify employment fluctuations relatively to a DNK model with walrasian...

Over the past 15 years there has been remarkable progress in the specification and estimation of dynamic stochastic general equilibrium (DSGE) models. Central banks in developed and emerging market economies have become increasingly interested in their usefulness for policy analysis and...