Given the real possibility of the Eurozone ceasing to exist in its current form, it is worth taking stock of important lessons from this experience. Here are what I see as the four big lessons of the Eurozone crisis:
(1) The optimal currency area (OCA) criteria should be taken seriously ex-ante. Before any country joins a currency union it should make sure it has met some combination of the OCA criteria. These criteria tells us that members of currency union should (1) share similar business cycles or (2) have in place some combination of economic shock absorbers including flexible wages and prices, factor mobility, fiscal transfers, and diversified economies. In the former case, similar business cycles among the regions mean that a common monetary policy, which targets the aggregate business cycle, will be stabilizing for all regions. In the latter case, dissimilar business cycles among the regions make a common monetary policy destabilizing—it will be either too stimulative or too tight—for regions unless they have in place some of the economic shock absorbers. In short, if a region's economy is not in sync with the currency union's business cycle and the above listed shock absorbers are absent then it does not makes sense for a country to be a part of the currency union. Instead, the country should keep its own currency which itself will act as a shock absorber. This understanding can be graphically represented as follows (click to enlarge):
(2) Don't hang your hope on becoming a successful currency union by meeting the OCA criteria ex-post. Some observers argued around the time of the Eurozone's inception that looking at the OCA criteria ex-ante was not warranted since the criteria themselves would emerge once a currency union was formed. This "endogenous" view of the OCA gave hope to the Euro optimists and lent support to their cause. Now there is evidence that joining a currency union does stimulate trade as transactions costs are lowered. One study found currency unions more than tripled trade among members. It is apparent now, though, that some of the Eurozone periphery did not integrate enough to justify the cost of being a member in the currency union. It is best not to base the survival of a currency union on hope.
As an aside, it is worth nothing that even if a region does endogenously meet the OCA criteria further problems can arise from being a part of the currency union. The increased trade flows and economic activity within the currency union can over time lead to regional specialization that makes the regions more susceptible to economic shocks. Paul Krugman first made this point in 1998 and the idea has become known as the "Krugman Specialization Hypothesis" (KSH). I think the best example of KSH is the United States. Despite being a currency union for many years, the United States did not become an OCA until the 1930s according to Hugh Rockoff. One reason is because there was so much regional specialization and until the New Deal reforms, many of the economic shock absorbers necessary to offset the lack of regional economic diversification were simply missing. So even if the Eurozone were a functioning OCA there is no guarantee it would stay that way.
(3) Take the real exchange rate seriously. A summary measure of a country's external competitiveness is its real exchange rate. If a country's real exchange rate is appreciating then its goods are becoming more expensive to the rest of the world. And, as a result, it will begin losing foreign earnings and the ability to meet external obligations. In a time of crisis for a country dependent on foreign funding this problem becomes more pronounced. As seen in the next figure, most of the Eurozone periphery has had a real appreciation on average since the inception of the Euro!

(4.) The central bank contributes most to macroeconomic stability by stabilizing aggregate demand (i.e. total cash spending). I have made this point before for the United States, but it applies just as well to the Eurozone. And based on the following figure, the European Central Bank (ECB) has not done a very good stabilizing total cash spending during this crisis:


So what lessons do you see from the Eurozone crisis?