Requirement of Equal Inflation for Stable Competitiveness in a Common Currency Area

Imagine two countries, which previously had separate currencies, decide to form a monetary union and adopt a single, shared currency. An economist from one of the countries argues that, to boost its exports to the other member country, their government can implement a policy to achieve a small, controlled nominal depreciation of their currency's value within the union. Based on the defining characteristics of a common currency area, what is the most accurate assessment of this argument?

In a common currency area, a member country experiencing a severe recession might see its currency undergo a nominal depreciation relative to the currencies of other, more prosperous member countries.

Nominal Exchange Rate Stability in a Monetary Union

Policy Feasibility in a Monetary Union

For any two countries that are members of a common currency area (such as the eurozone), the rate of nominal depreciation of one member's currency against the other's is, by definition, always equal to ____.