State dependent pricing, invoicing currency, and exchange rate pass-through

We analyze exchange rate pass-through and volatility of import prices in a dynamic framework where firms are subject to menu costs and decide on price adjustments in response to exchange rate innovations. The exchange rate pass-through and import price volatility then depend on the invoicing currency in combination with functional forms of cost and demand functions. In particular, there is lower pass-through, less frequent price adjustments, and lower price volatility when prices are set in the importer's currency than when prices are set in the exporter's currency.