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On the welfare costs of business-cycle fluctuations and economic-growth variation in the 20th century and beyond
Institution:1. Banco Central do Brasil and Ibmec-Rio, Av. Presidente Vargas 730, Rio de Janeiro, RJ 20071-001, Brazil;2. Graduate School of Economics – EPGE, Getulio Vargas Foundation, Praia de Botafogo 190s. 1100, Rio de Janeiro, RJ 22253-900, Brazil;1. Paris School of Economics and Centre National de la Recherche Scientifique, France;2. Paris School of Economics and University of Paris 1 Panthéon-Sorbonne, France
Abstract:The main objective of this paper is to propose a novel setup that allows estimating separately the welfare costs of the uncertainty stemming from business-cycle fluctuations and from economic-growth variation, when the two types of shocks associated with them (respectively, transitory and permanent shocks) hit consumption simultaneously. Separating these welfare costs requires dealing with degenerate bivariate distributions. Levi's Continuity Theorem and the Disintegration Theorem allow us to adequately define the one-dimensional limiting marginal distributions. Under Normality, we show that the parameters of the original marginal distributions are not affected, providing the means for calculating separately the welfare costs of business-cycle fluctuations and of economic-growth variation.Our empirical results show that, if we consider only transitory shocks, the welfare cost of business cycles is much smaller than previously thought. Indeed, we found it to be negative – −0.03% of per-capita consumption! On the other hand, we found that the welfare cost of economic-growth variation is relatively large. Our estimate for reasonable preference-parameter values shows that it is 0.71% of consumption – US$ 208.98 per person, per year.
Keywords:Business cycles fluctuations  Economic-growth variation  Welfare costs  Beveridge–Nelson decomposition  Unobserved-component model
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