Many macroeconomic models involve hybrid equations, in which some variables are a function of both their lags and their expected future value. The hybrid ``New Keynesian'' Phillips Curve is a prominent example. Estimates of such hybrid models have produced conflicting empirical results: Studies...

Many macroeconomic models (including the NKPC - "New Keynesian" Phillips Curve) involve hybrid equations, in which some variables depend on both their lags and leads. Hybrid models have produced conflicting empirical results: GMM (respectively ML) estimation find the forward- looking component...