An Estimation of the Nonlinear Phillips Curve in Colombia

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Autor o Editor
Javier Gomez, Juan Manuel Julio

As originally drawn and estimated by professor Phillips, the Phillips, curve is a curve indeed, not a straight line as often thought.   Following Laxton, et. al. (1999) we estimate a convex Phillips curve and model de NAURI as a variable that  is unobserved.  Using Colombian data, we provide confidence bands for the NAURI and report estimated sacrifice ratios.  Using the unobserved components methodology along with the Kalman filter, we find evidence in favor of a nonlinear Phillips curve and no evidence against a NAURI that is constant.  This latter finding is explained by the high level of uncertainty in the estimation of the NAURI.  Nonlinearity implies that the sacrifice ratio increases with unemployment, in other words, the cost of decreasing inflation is higher the higher the unemployment rate.