Spurious Welfare Reversals in International Business Cycle Models

Abstract

Several papers on international business cycles have documented spurious welfare reversals, in that incomplete market economies can produce higher welfare than the complete market economy. This paper demonstrates how conventional linearization, as used in King, Plosser, and Rebelo (1988), can generate approximation errors that are large enough to result in such reversals. Using a two-country production economy without capital, we argue that spurious welfare reversals are not only possible but also plausible under reasonable parameter values. As a constructive alternative, this paper proposes an approximation method that modifies the conventional linearization method by a bias correction---the linear approximation around a 'stochastic' steady state. We show that this method can be easily implemented to accurately approximate the exact solution and therefore produce the correct welfare ordering. The accuracy of the proposed method is far better than that of the conventional linearization method and as good as that of a method involving a second-order expansion.Linearization, Stochastic steady state, Welfare, Risk sharing