Why a more productive factory can make a haircut dearer
Take a fictional economy that produces an export good and a local service. The export good sells at a fixed world price, and we hold the nominal exchange rate fixed. In this simplified model, labour is the only input, firms compete, and workers can move between sectors, so both sectors pay the same hourly wage. With and denoting units of output per labour hour in tradables and nontradables, competition equates prices to unit labour costs. The tradable price pins down the wage , and the service price covers that same wage at local productivity.
From local prices to the real exchange rate
A home basket of three tradables and two services costs 100 before the shock and 108 after it. Services account for 40% of initial spending, so a 20% increase in service prices raises this basket's cost by 8%. At the fixed nominal rate, the home currency appreciates 8% in real terms if the trading partner's basket stays at 100. If the partner has the same basket and experiences the same shock, both baskets rise to 108 and the bilateral real exchange rate stays flat.
Sources
- Czech National Bank, The Balassa-Samuelson effect, Inflation Report II/2002.
- Dubravko Mihaljek and Marc Klau, The Balassa-Samuelson effect in central Europe: a disaggregated analysis, BIS Working Papers No. 143, 2003.
- BIS Data Portal, Effective exchange rates, methodology for partner trade weights and consumer-price adjustment.