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...

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...

Several approaches to finding the second-order approximation to a dynamic model have been proposed recently. This paper differs from the existing literature in that it makes use of the Magnus and Neudecker (1999) definition of the Hessian matrix. The key result is a linear system of equations...

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...

We introduce costly firm-entry a la Bilbiie et al. (2012) into a New Keynesian model with Epstein-Zin preferences and show that it can jointly account for a high mean value of bond and equity premium without compromising the fit of the model to first and second moments of key macroeconomic...

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

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...