When working with large-scale models or numerous small models, there can be a temptation to rely on default settings in proprietary software to derive solutions to the model. In this paper we show that, for the solution of non-linear dynamic models, this approach can be inappropriate....

We investigate the derivation of optimal interest rate rules in a simple stochastic framework. The monetary authority chooses to minimise an asymmetric loss function made up of the sum of squared components, where the monetary authority places positive weight on squared negative (positive)...

Most recent studies of dynamic macroeconomic relationships focus on models derived from optimising behaviour by economic agents. In most of these models, the eigenvalues of the associated dynamical system are real-valued and so the time-path of the system exhibits monotonic or near-monotonic...

Two common properties of macroeconomic models are saddle-path instability and the existence of non-linearities. Under these circumstances, a common approach is to make analysis more tractable by linearising the model in the neighbourhood of an appropriate steady-state. The linearised model is...

The dynamic properties of macroeconomic models are typically characterised by having a combination of stable and unstable eigenvalues. In a seminal paper, Blanchard and Kahn showed that, for linear models, in order to ensure a unique solution, the number of discontinuous or “jump” variables...

This paper presents an approach for assessing the time taken by the well known reverse-shooting and forward-shooting algorithms to solve large-scale macroeconomic models characterized by saddle-path instability. We focus on a range of investment models with multi-dimensional specifications of...

When working with large-scale models or numerous small models, there can be a temptation to rely on default settings in proprietary software to derive solutions to the model. In this paper we show that, for the solution of non-linear dynamic models, this approach can be inappropriate....

The property of saddle-path instability often arises in economic models derived from optimizing behavior by individual agents. In the case when underlying functional forms are nonlinear, it is likely that the stable and unstable arms defining the saddle-path dynamics will also have nonlinear...

In this paper, we consider a macroeconomic model with alternative linear and non-linear specifications. One version of the model, expressed in levels, is highly non-linear and has at least two steady-state equilibria. One of these equilibria has an economically meaningful interpretation, while...