A large literature seeks to provide microfoundations of price setting for macro models. A challenge has been to develop a model in which monetary policy shocks have the highly persistent effects on real variables estimated by many studies. Nominal price stickiness has proved helpful but not sufficient without some form of "real rigidity" or "strategic complementarity." We embed a model with a real rigidity a la Kimball (1995), wherein consumers flee from relatively expensive products but do not flock to inexpensive ones. We estimate key model parameters using micro data from the U.S. CPI, which exhibit sizable movements in relative prices of substitute products. When we impose a significant degree of real rigidity, fitting the micro price facts requires very large idiosyncratic shocks and implies large movements in micro quantities.
In the U.S. and Europe, prices change somewhere between every six months and once a year. Yet nominal macro shocks seem to have real effects lasting well beyond a year. "Sticky information" models, as posited by Sims (2003), Woodford (2003) and Mankiw and Reis (2002), can reconcile micro flexibility with macro rigidity. We simulate a sticky information model in which price setters do not update their information on macro shocks as often as they update their information on micro shocks. Compared to a standard menu cost model, price changes in this model reflect older macro shocks. We then examine price changes in the micro data underlying the U.S. CPI. These price changes do not reflect older information, thereby exhibiting a similar response to that of the standard menu cost model. However, the empirical test hinges on staggered information updating across firms; it cannot distinguish between a full information model and a model where firms have equally old information.
We document that new exporters initially export small amounts, grow gradually, and are most likely to exit the export market in their first few years. We find that the standard sunk-cost model cannot replicate these new exporter dynamics: New exporters grow too large too quickly and live too long. In a modified sunk-cost model that can account for these facts, the entry costs needed to match the data are three times smaller than in the sunk-cost model. Dynamic models with richer plant-level heterogeneity are needed. * Manuscript
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