We study the implications for international relative prices of a simple Ricardian model of international trade with imperfect competition and variable markups, providing a tractable account of firm-level and aggregate prices. We show that both trade costs and imperfect competition with variable markups are needed to account for pricing-to-market at the firm and aggregate levels. We also show that international trade costs are essential, but pricing-to-market is not, to account for a high volatility of tradeable consumer prices relative to the overall CPI-based real-exchange rate.

We examine the quantitative impact of policy-induced changes in firms’ innovative investment on growth in aggregate productivity and output in a model that nests several of the canonical models. We isolate two statistics, the impact elasticity of aggregate productivity growth with respect to aggregate innovative investment and the degree of intertemporal knowledge spillovers in research, that shape the model’s predicted dynamic response to a change in the innovation intensity of the economy. Given measures of these statistics, there is only modest scope for increasing aggregate productivity and output over a 20-year horizon with uniform innovation subsidies to firms’ investments in innovation of a reasonable magnitude, but the welfare gains may be substantial.

We study markup cyclicality in a granular macroeconomic model with oligopolistic competition. We first characterize how firm, sectoral, and aggregate markups comove with output at different levels of aggregation in response to firm-level shocks. We quantify the model’s ability to reproduce salient features of the cyclical properties of measured markups in French administrative firm-level data from the bottom (firm) level to the aggregate level. We document that (i) firm-level markups rise with market share and sector-level markups with concentration, (ii) the relationship between markups and sectoral output varies by firm size—negative for small firms but positive for large ones, (iii) sector-level markups move positively with sectoral output, and (iv) sectoral markups show no systematic relationship with aggregate output. Our model helps rationalize these seemingly conflicting patterns of markup cyclicality in the data.

We dissect the impact of a large and sudden exchange rate appreciation on Swiss border import prices, retail prices, and consumer expenditures on domestic and imported nondurable goods, following the removal of the EUR/CHF floor in January 2015. Cross-sectional variation in border price changes by currency of invoicing carries over to consumer prices and allocations, impacting retail prices of imports and competing domestic goods, as well as import expenditures. We provide measures of the sensitivity of retail import prices to border prices and the sensitivity of import shares to relative prices, which is higher when using retail prices than border prices.