“…Moreover, Cogley and Sbordone (2008) find no evidence of price indexation to the previous period's rate of inflation when combining sticky prices with time-varying trend inflation. Therefore, indexation has been omitted from the late New Keynesian models of Christiano, Trabandt, and Walentin (2010), Trabandt (2015, 2016), Ascari, Phaneuf, and Sims (2015) and Phaneuf, Sims, and Victor (2015). As in these models, the presence of FN is able to generate realistic inertia in inflation, without the unrealistic assumption of backward-looking indexation.…”