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Working Paper
The Dynamic Striated Metropolis-Hastings Sampler for High-Dimensional Models
Zha, Tao; Waggoner, Daniel F.; Wu, Hongwei (2014-11-01)
Having efficient and accurate samplers for simulating the posterior distribution is crucial for Bayesian analysis. We develop a generic posterior simulator called the "dynamic striated Metropolis-Hastings (DSMH)" sampler. Grounded in the Metropolis-Hastings algorithm, it draws its strengths from both the equi-energy sampler and the sequential Monte Carlo sampler by avoiding the weaknesses of the straight Metropolis-Hastings algorithm as well as those of importance sampling. In particular, the DSMH sampler possesses the capacity to cope with incredibly irregular distributions that are full ...
FRB Atlanta Working Paper , Paper 2014-21

Working Paper
Search Complementarities, Aggregate Fluctuations, and Fiscal Policy
Yu, Yang; Mandelman, Federico S.; Zanetti, Francesco; Fernández-Villaverde, Jesús (2019-05-01)
We develop a quantitative business cycle model with search complementarities in the inter-firm matching process that entails a multiplicity of equilibria. An active equilibrium with strong joint venture formation, large output, and low unemployment coexists with a passive equilibrium with low joint venture formation, low output, and high unemployment. {{p}} Changes in fundamentals move the system between the two equilibria, generating large and persistent business cycle fluctuations. The volatility of shocks is important for the selection and duration of each equilibrium. Sufficiently adverse ...
FRB Atlanta Working Paper , Paper 2019-9

Working Paper
Learning about Regime Change
Matthes, Christian; Foerster, Andrew (2020-04-15)
Total factor productivity (TFP) and investment specific technology (IST) growth both exhibit regime-switching behavior, but the regime at any given time is difficult to infer. We build a rational expectations real business cycle model where the underlying TFP and IST regimes are unobserved. We then develop a general perturbation solution algorithm for a wide class of models with unobserved regime-switching. Using our method, we show that learning about regime-switching alters the responses to regime shifts and intra-regime shocks, increases asymmetries in the responses, generates forecast ...
Working Paper Series , Paper 2020-15

Working Paper
The market resources method for solving dynamic optimization problems
Kabukcuoglu, Ayse; Martinez-Garcia, Enrique (2016-06-01)
We introduce the market resources method (MRM) for solving dynamic optimization problems. MRM extends Carroll?s (2006) endogenous grid point method (EGM) for problems with more than one control variable using policy function iteration. The MRM algorithm is simple to implement and provides advantages in terms of speed and accuracy over Howard?s policy improvement algorithm. Codes are available.
Globalization Institute Working Papers , Paper 274

Working Paper
Applications of Markov Chain Approximation Methods to Optimal Control Problems in Economics
Phelan, Tom; Eslami, Keyvan (2021-02-10)
In this paper we explore some of the benefits of using the finite-state Markov chain approximation (MCA) method of Kushner and Dupuis (2001) to solve continuous-time optimal control problems. We first show that the implicit finite-difference scheme of Achdou et al. (2017) amounts to a limiting form of the MCA method for a certain choice of approximating chains and policy function iteration for the resulting system of equations. We then illustrate the benefits of departing from policy function iteration by showing that using variations of modified policy function iteration to solve income ...
Working Papers , Paper 21-04

Working Paper
Filling in the Blanks: Network Structure and Interbank Contagion
von Peter, Goetz; Craig, Ben R.; Anand, Kartik (2014-10-02)
The network pattern of financial linkages is important in many areas of banking and finance. Yet bilateral linkages are often unobserved, and maximum entropy serves as the leading method for estimating counterparty exposures. This paper proposes an efficient alternative that combines information-theoretic arguments with economic incentives to produce more realistic interbank networks that preserve important characteristics of the original interbank market. The method loads the most probable links with the largest exposures consistent with the total lending and borrowing of each bank, yielding ...
Working Papers (Old Series) , Paper 1416

Report
Approximating Grouped Fixed Effects Estimation via Fuzzy Clustering Regression
Lewis, Daniel J.; Melcangi, Davide; Pilossoph, Laura; Toner-Rodgers, Aidan (2022-09-01)
We propose a new, computationally-efficient way to approximate the “grouped fixed-effects” (GFE) estimator of Bonhomme and Manresa (2015), which estimates grouped patterns of unobserved heterogeneity. To do so, we generalize the fuzzy C-means objective to regression settings. As the regularization parameter m approaches 1, the fuzzy clustering objective converges to the GFE objective; moreover, we recast this objective as a standard Generalized Method of Moments problem. We replicate the empirical results of Bonhomme and Manresa (2015) and show that our estimator delivers almost identical ...
Staff Reports , Paper 1033

Working Paper
Computing Equilibria of Stochastic Heterogeneous Agent Models Using Decision Rule Histories
Veracierto, Marcelo (2020-02-01)
This paper introduces a general method for computing equilibria with heterogeneous agents and aggregate shocks that is particularly suitable for economies with private information. Instead of the cross-sectional distribution of agents across individual states, the method uses as a state variable a vector of spline coefficients describing a long history of past individual decision rules. Applying the computational method to a Mirrlees RBC economy with known analytical solution recovers the solution perfectly well. This test provides considerable confidence on the accuracy of the method.
Working Paper Series , Paper WP 2020-05

Working Paper
Likelihood Evaluation of Models with Occasionally Binding Constraints
Iacoviello, Matteo; Cuba-Borda, Pablo A.; Zhong, Molin; Guerrieri, Luca (2019-04-19)
Applied researchers interested in estimating key parameters of DSGE models face an array of choices regarding numerical solution and estimation methods. We focus on the likelihood evaluation of models with occasionally binding constraints. We document how solution approximation errors and likelihood misspecification, related to the treatment of measurement errors, can interact and compound each other.
Finance and Economics Discussion Series , Paper 2019-028

Working Paper
A Generalized Time Iteration Method for Solving Dynamic Optimization Problems with Occasionally Binding Constraints
Kabukcuoglu, Ayse; Martinez-Garcia, Enrique (2020-08-21)
We study a generalized version of Coleman (1990)’s time iteration method (GTI) for solving dynamic optimization problems. Our benchmark framework is an irreversible investment model with labor-leisure choice. The GTI algorithm is simple to implement and provides advantages in terms of speed relative to Howard (1960)’s improvement algorithm. A second application on a heterogeneous-agents incomplete-markets model further explores the performance of GTI.
Globalization Institute Working Papers , Paper 396

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