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Working Paper
Accounting for Risk in a Linearized Solution: How to Approximate the Risky Steady State and Around It
We propose a novel approximation of the risky steady state and construct first-order perturbations around it for a general class of dynamic equilibrium models with time-varying and non-Gaussian risk. We offer analytical formulas and conditions for their local existence and uniqueness. We apply this approximation technique to models featuring Campbell-Cochrane habits, recursive preferences, and time-varying disaster risk, and show how the proposed approximation represents the implications of the model similarly to global solution methods. We show that our approximation of the risky steady ...
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Approximating Transition Dynamics with Discrete Choice
This paper develops a method to analyze policy reforms in environments with discrete choice, such as occupational choice or default. Computing transition paths in these settings is computationally challenging, particularly in models with substantial heterogeneity and many endogenous states. We extend perturbation methods to handle discrete choice by appropriately tracking both intensive-margin changes conditional on discrete choices that are relatively small and extensive-margin changes resulting from a switch in a discrete choice that are relatively large. The method is fast, scalable, and ...