In this paper I derive the matrix chain rules for solving a second and a third-order approximation to a DSGE model that allow the use of a recursive Sylvester equation solution method. In particular I use the solution algorithms of Kamenik (2005) and Martin & Van Loan (2006) to solve the...

I outline a new method for finding third-order accurate solutions to dynamic general equilibrium models. I extend the Gomme & Klein (2011) solution for second-order approximations without using tensors, to a third-order. In particular I derive a third-order matrix chain rule and use this to...

Distortionary income taxation in a standard New Keynesian model substantially increases the nominal term-premium on long-term bonds relative to a model with lumpsum taxes. Also the empirical level of the nominal term premium can be matched with lower risk-aversion coefficient in case of a model...

In this paper we investigate the effects of uncertainty shocks on economic activity using a Dynamic Stochastic General Equilibrium (DSGE) model with heterogenous agents and a stylized banking sector. We show that frictions in credit supply amplify the effects of uncertainty shocks on economic...

This paper develops a novel approach for estimating latent state variables of Dynamic Stochastic General Equilibrium (DSGE) models that are solved using a second-order accurate approximation. I apply the Kalman filter to a state-space representation of the second-order solution based on the...

How do different levels of government debt affect the optimal conduct of monetary and fiscal policies? And what do these optimal policies imply for the evolution of government debt over time? To provide an answer, this paper studies a standard monetary policy model with nominal rigidities and...

The empirical Bayes (EB) estimator or empirical best linear unbiased predictor (EBLUP) in the linear mixed model (LMM) is useful for the small area estimation in the sense of increasing the precision of estimation of small area means. However, one potential difficulty of EB is that when...

This paper presents an algorithm to solve up to the second order of approximation rational expectations models with informational subperiods, and provides simple examples to demonstrate how the algorithm works. Copyright Springer Science+Business Media New York 2013

Phenomena such as the Great Moderation have increased the attention of macroeconomists towards models where shock processes are not (log-)normal. This paper studies a class of discrete-time rational expectations models where the variance of exogenous innovations is subject to stochastic regime...