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In this paper, we present a model of the financial resource curse (i.e., episodes of abundant access to foreign capital coupled with weak productivity growth). We study a two‐sector (i.e., tradable and non‐tradable) small open economy. The tradable sector is the engine of growth, and productivity growth is increasing with the amount of labor employed by firms in the tradable sector. A period of large capital inflows, triggered by a fall in the interest rate, is associated with a consumption boom. While the increase in tradable consumption is financed through foreign borrowing, the increase in non‐tradable consumption requires a shift of productive resources toward the non‐tradable sector at the expenses of the tradable sector. The result is stagnant productivity growth. We show that capital controls can be welfare‐enhancing and can be used as a second‐best policy tool to mitigate the misallocation of resources during an episode of financial resource curse.