Exchange Rate Targeting and Gold Demand by Central Banks: Modeling International Reserves Composition

This article explores the composition of international reserves under a central bank’s exchange rate policy target. The model allows for numerical estimation of a shadow price of the target exchange rate, interpreted as the central bank’s sacrifice of policy precision for additional unit of portfolio variance or return. The simulations indicate a percentage range gold demand by monetary authority in two regimes under multiple equilibria. Accumulating foreign reserves as precautionary policy suggests increasing shares of gold demand. The central bank would incur greater exchange rate target sacrifice if it wants to achieve higher portfolio returns. The results suggest that ability to target the exchange rate is unaffected by the higher volatility of monthly returns on gold.