Countries pursuing membership in the European Monetary Union (Eurozone) are supposed to meet "convergence criteria," which includes

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The convergence criteria include sound governmental finances, which means that countries seeking to join the Eurozone must have a low budget deficit and low levels of public debt. Price instability and unstable exchange rates are not desirable for the Eurozone, but they are not specifically listed as convergence criteria. High long-term interest rates are also not desirable, but they are not a specific criterion for joining the Eurozone.

Countries Pursuing Membership in the European Monetary Union (Eurozone) Are