We use novel survey data to study firms’ inventory contracts. We document facts about the usage of purchase and sale contracts. We find that firms purchase and sell inventory through three contractual arrangements: fixed price and quantity, fixed price only, and fixed quantity only. Those using fixed price and quantity hold the largest share of contracts. The average duration of purchase contracts is not very different from the average duration of sale contracts. We then find that the upward bias in inflation expectations is a feature of firms that do not purchase or sell largely through contracts. Our findings are useful in the calibration of sticky price models.

Gravity equations are an important tool in empirical international trade research. We study to what extent sector-level parameters can be recovered from aggregate gravity equations estimated via Poisson pseudo maximum likelihood. We show that in the leading case where trade cost regressors do not vary at the sector level, estimates obtained with aggregate data have a clear interpretation as a weighted average of sectoral elasticities. Otherwise the estimates are biased, but researchers may possibly infer the direction of the bias. We illustrate our results by revisiting Baier and Bergstrand’s (2007) influential study of the effects of free trade agreements.