Econometrica: Sep 2021, Volume 89, Issue 5

Using the Sequence-Space Jacobian to Solve and Estimate Heterogeneous-Agent Models

https://doi.org/10.3982/ECTA17434
p. 2375-2408

Adrien Auclert, Bence Bardóczy, Matthew Rognlie, Ludwig Straub

We propose a general and highly efficient method for solving and estimating general equilibrium heterogeneous‐agent models with aggregate shocks in discrete time. Our approach relies on the rapid computation of sequence‐space Jacobians—the derivatives of perfect‐foresight equilibrium mappings between aggregate sequences around the steady state. Our main contribution is a fast algorithm for calculating Jacobians for a large class of heterogeneous‐agent problems. We combine this algorithm with a systematic approach to composing and inverting Jacobians to solve for general equilibrium impulse responses. We obtain a rapid procedure for likelihood‐based estimation and computation of nonlinear perfect‐foresight transitions. We apply our methods to three canonical heterogeneous‐agent models: a neoclassical model, a New Keynesian model with one asset, and a New Keynesian model with two assets.



Log In To View Full Content

Supplemental Material

Supplement to "Using the Sequence-Space Jacobian to Solve and Estimate Heterogeneous-Agent Models"

This online appendix contains material not found within the manuscript.

Read More View PDF


Supplement to "Using the Sequence-Space Jacobian to Solve and Estimate Heterogeneous-Agent Models"

This zip file contains replication files for the manuscript.

Read More View ZIP



Back