¹Inter-American Development Bank, Research Department, Washington, DC, United States of America. Research Fellow. Email: socampo@iadb.org
²Banco de la República, Macroeconomic Modeling Department, Bogotá, Colombia. Universidad Nacional de Colombia, Statistics Department, Bogotá, Colombia. Principal Econometrist and Lecturer. Email: nrodrini@banrep.gov.co

This document presents how to estimate and implement a structural VAR-X model under long run and impact identification restrictions. Estimation by Bayesian and classical methods are presented. Applications of the structural VAR-X for impulse response functions to structural shocks, multiplier analysis of the exogenous variables, forecast error variance decomposition and historical decomposition of the endogenous variables are also described, as well as a method for computing higher posterior density regions in a Bayesian context. Some of the concepts are exemplified with an application to US data.

Key words: Econometrics, Bayesian time series, Vector autoregression, \linebreak Structural model.

Este documento cubre la estimación e implementación del modelo VAR-X estructural bajo restricciones de identificación de corto y largo plazo. Se presenta la estimación tanto por métodos clásicos como Bayesianos. También se describen aplicaciones del modelo como impulsos respuesta ante choques estructurales, análisis de multiplicadores de las variables exógenas, descomposición de varianza del error de pronóstico y descomposición histórica de las variables endógenas. Así mismo se presenta un método para calcular regiones de alta densidad posterior en el contexto Bayesiano. Algunos de los conceptos son ejemplificados con una aplicación a datos de los Estados Unidos.

Palabras clave: econometría, modelo estructural, series de tiempo Bayesianas, vector autoregresivo.

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