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These huge recessions do matter. For Latvia, the cumulative loss from 2008 to 2012 adds up to 77 per cent of the country’s pre-crisis annual output. On the same basis, the loss was 44 per cent for Lithuania and 43 per cent for Estonia.

In brief, Latvia, worst-hit of the Baltic countries, suffered one of the biggest depressions in history. It is recovering. But it has not yet fully recovered. Are its policies a model for others? In a word, no.

These states have four huge advantages

First, according to Eurostat, Latvian labour costs per hour, in 2012, were a quarter of those of the eurozone as whole, 30 per cent of those in Spain and half those of Portugal.

Second, these are very small and open economies

Its trade partners hardly notice Latvia’s adjustment. But they would notice a comparably large Italian one.

Third, foreign-owned banks play a central role in these economies. For the eurozone, this is the alternative to a banking union: let banks with fiscally strong host governments take over the weaker financial systems.

inally, the Baltic states have embraced their European destiny as an alternative to falling back into Russia’s orbit.

The authors come up with a variety of numbers, including one that has received a lot of attention: potential G.D.P.—broadly speaking, the level of G.D.P. consistent with stable inflation—“is currently about 7 percent below the trajectory it appeared to be on prior to 2007.” According to the latest figures from the Commerce Department, the G.D.P. is now close to seventeen trillion dollars, and seven per cent of that figure is $1.2 trillion. This is a lot of money to have gone missing, especially if it will never be recovered. Hence Krugman’s dire conclusion: “By tolerating high unemployment we have inflicted huge damage on our long-run prospects …. What passes these days for sound policy is in fact a form of economic self-mutilation, which will cripple America for many years to come.”

As well as figuring out the current level of potential G.D.P., the authors estimate its growth rate. This is the more important figure, because it’s what determines living standards over the long term

In the nineteen-eighties, Larry Summers and Olivier Blanchard, who is now the chief economist of the I.M.F., resurrected the idea and gave it a new name, which they borrowed from engineering: hysteresis. Blanchard and Summers examined hysteresis in Europe, where high rates of unemployment have long been a problem.

The good news is that things aren’t quite as bad as the figures in the Fed paper might suggest. If we can get policy right and sharply increase the level of over-all demand in the economy, most of the damage done in the past five years is reversible.

At the moment, sadly, there is no prospect of any more fiscal stimulus, let alone a war-sized one, and the onus is falling on the Fed to gee up the economy.