We construct the first algorithm for the perfect foresight solution of otherwise linear models with occasionally binding constraints, with fixed terminal conditions, that is guaranteed to return a solution in finite time, if one exists. We also provide a proof of the inescapability of the "curse...

This paper presents the new dynamic spatial general equilibrium (DSGE) model – RHOMOLO, which is built to support the EU policy design by undertaking holistic, micro-founded and disaggregated policy impact assessment. The RHOMOLO model is based on the theories of general equilibrium,...

We introduce the market resources method (MRM) for solving dynamic optimization problems. MRM extends Carroll’s (2006) endogenous grid point method (EGM) for problems with more than one control variable using policy function iteration. The MRM algorithm is simple to implement and provides...

This paper compares different solution methods for computing the equilibrium of dynamic stochastic general equilibrium (DSGE) models with rare disasters along the lines of those proposed by Rietz (1988), Barro (2006), Gabaix (2012), and Gourio (2012). DSGE models with rare disasters require...

Much research has been devoted to examination of the financial easing policy of the European Central Bank (ECB). However, this study is one of the first to use a dynamic micro-founded model to investigate empirically the impact of the ECB’s Quantitative Easing (QE) policy on consumption and...

Prefetching is a simple and general method for single-chain parallelisation of the Metropolis-Hastings algorithm based on the idea of evaluating the posterior in parallel and ahead of time. Improved Metropolis-Hastings prefetching algorithms are presented and evaluated. It is shown how to use...

This paper studies the effect of persistent growth risks on the solution accuracy of dynamic stochastic general equilibrium models. We compare the reliability of perturbation and projection based solution methods for various model economies. We find that a perturbation based solution method does...

We describe how to adapt a first-order perturbation approach and apply it in a piecewise fashion to handle occasionally binding constraints in dynamic models. Our examples include a real business cycle model with a constraint on the level of investment and a New Keynesian model subject to the...

To analyse the interdependence between monetary policy and financial markets in the context of the recent financial crisis, we use stochastic differential equations to develop a dynamic, stochastic general equilibrium New Keynesian model of two open economies. Our focus is on how stock and...

We propose a simple and powerful numerical algorithm to compute the transition process in continuous-time dynamic equilibrium models with rare events. In this paper we transform the dynamic system of stochastic differential equations into a system of functional differential equations of the...