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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
Occupational Choice, Retirement, and the Effects of Disability Insurance
Jacobs, Lindsay (2016-06)
There is much variation in the physical requirements across occupations, giving rise to great differences in later-life productivity, disability risk, and the value of Social Security Disability Insurance (SSDI). In this paper, I look at how such differences across occupations affect initial career choice as well as the extent to which SSDI, which insures shocks to productivity due to disability, prompts more people to choose physically intense occupations. Using data from the Health and Retirement Study (HRS) and the Current Population Survey (CPS), I estimate a dynamic model of occupational ...
Finance and Economics Discussion Series , Paper 2016-051

Working Paper
A Generalized Approach to Indeterminacy in Linear Rational Expectations Models
Bianchi, Francesco; Nicolo, Giovanni (2019-05)
We propose a novel approach to deal with the problem of indeterminacy in Linear Rational Expectations models. The method consists of augmenting the original state space with a set of auxiliary exogenous equations to provide the adequate number of explosive roots in presence of indeterminacy. The solution in this expanded state space, if it exists, is always determinate, and is identical to the indeterminate solution of the original model. The proposed approach accommodates determinacy and any degree of indeterminacy, and it can be implemented even when the boundaries of the determinacy region ...
Finance and Economics Discussion Series , Paper 2019-033

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

Working Paper
Tractable latent state filtering for non-linear DSGE models using a second-order approximation
Kollmann, Robert (2013)
This paper develops a novel approach for estimating latent state variables of Dynamic Stochastic General Equilibrium (DSGE) models that are solved using a second-order accurate approximation. I apply the Kalman filter to a state-space representation of the second-order solution based on the ?pruning? scheme of Kim, Kim, Schaumburg and Sims (2008). By contrast to particle filters, no stochastic simulations are needed for the filter here--the present method is thus much faster. In Monte Carlo experiments, the filter here generates more accurate estimates of latent state variables than the ...
Globalization Institute Working Papers , Paper 147

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
Risk Management for Sovereign Debt Financing with Sustainability Conditions
Zenios, Stavros A.; Consiglio, Andrea; Athanasopoulou, Marialena; Moshammer, Edmund; Gavilan, Angel; Erce, Aitor (2019-06-01)
We develop a model of debt sustainability analysis with optimal financing decisions in the presence of macroeconomic, financial and fiscal uncertainty. We define a coherent measure of refinancing risk, and trade off the risks of debt stock and flow dynamics, subject to debt sustainability constraints and endogenous risk and term premia. We optimize both static and dynamic financing strategies, compare them with several simple rules and consol financing to demonstrate economically significant effects of optimal financing, and show that the stock-flow tradeoff can be critical for ...
Globalization Institute Working Papers , Paper 367

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
Finite-State Markov-Chain Approximations: A Hidden Markov Approach
Janssens, Eva F.; McCrary, Sean (2023-05-19)
This paper proposes a novel finite-state Markov chain approximation method for Markov processes with continuous support, providing both an optimal grid and transition probability matrix. The method can be used for multivariate processes, as well as non-stationary processes such as those with a life-cycle component. The method is based on minimizing the information loss between a Hidden Markov Model and the true data-generating process. We provide sufficient conditions under which this information loss can be made arbitrarily small if enough grid points are used. We compare our method to ...
Finance and Economics Discussion Series , Paper 2023-040

Working Paper
Efficient Computation with Taste Shocks
Gordon, Grey (2019-09-11)
Taste shocks result in nondegenerate choice probabilities, smooth policy functions, continuous demand correspondences, and reduced computational errors. They also cause significant computational cost when the number of choices is large. However, I show that, in many economic models, a numerically equivalent approximation may be obtained extremely efficiently. If the objective function has increasing differences (a condition closely tied to policy function monotonicity) or is concave in a discrete sense, the proposed algorithms are O(n log n) for n states and n choice--a drastic improvement ...
Working Paper , Paper 19-15

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