Resumen de The pruned state-space system for non-linear DSGE models: Theory and empirical applications

Martin M. Andreasen, Jesús Fernández Villaverde, Juan F. Rubio Ramírez

• This paper studies the pruned state-space system for higher-order perturbation ap- proximations to DSGE models. We show the stability of the pruned approximation up to third order and provide closed-form expressions for Örst and second unconditional moments and impulse response functions. Our results introduce GMM estimation and impulse-response matching for DSGE models approximated up to third order and pro- vide a foundation for indirect inference and SMM. As an application, we consider a New Keynesian model with Epstein-Zin-Weil preferences and two novel feedback e§ects from long-term bonds to the real economy, allowing us to match the level and variability of the 10-year term premium in the U.S. with a low relative risk aversion of 5.