We aren't suggesting there is a bright red line at 90 percent; our results don't imply that 89 percent is a safe debt level, or that 91 percent is necessarily catastrophic. Anyone familiar with doing empirical research understands that vulnerability to crises and anemic growth seldom depends on a single factor such as public debt. However, our study of crises shows that public obligations are often hidden and significantly larger than official figures suggest.

Creative Accounting Devices

In addition, off-balance sheet guarantees and other creative accounting devices make it even harder to assess the true nature of a country's debt until a crisis forces everything out into the open. (Just think of the giant U.S. mortgage lenders Fannie Mae and Freddie Mac, whose debt was never officially guaranteed before the 2008 meltdown.)

There also is the question of how broad a measure of public debt to use. Our empirical work concentrates on central- government obligations because state and local data are so limited across time and countries, and government guarantees, as noted, are difficult to quantify over time. (Until we developed our data set, no long-dated cross-country information on central government debt existed.) But state and local debt are important because they so frequently trigger federal government bailouts in a crisis. Official figures for state debts don't include chronic late payments (arrears), which are substantial in Illinois and California, for example.

Public And Private Debt

Indeed, it isn't unusual for governments to absorb large chunks of troubled private debt in a crisis. Taking this into account, chart 1, attached, shows the extraordinarily high level of overall U.S. debts, public and private.

In addition to ex-ante or ex-post government guarantees and other forms of "hidden debts," any discussion of public liabilities should take into account the demographic challenges across the industrialized world. Our 90 percent threshold is largely based on earlier periods when old-age pensions and health-care costs hadn't grown to anything near the size they are today. Surely this makes the burden of debt greater.

There is a growing sense that inflation is the endgame to debt buildups. For emerging markets that has often been the case, but for advanced economies, the historical correlation is weaker. Part of the reason for this apparent paradox may be that, especially after World War II, many governments enacted policies that amounted to heavy financial repression, including interest- rate ceilings and non-market debt placement. Low statutory interest rates allowed governments to reduce real debt burdens through moderate inflation over a sustained period. Of course, this time could be different, and we shouldn't entirely dismiss the possibility of elevated inflation as the antidote to debt.

Extremely Rare

Those who remain unconvinced that rising debt levels pose a risk to growth should ask themselves why, historically, levels of debt of more than 90 percent of GDP are relatively rare and those exceeding 120 percent are extremely rare (see attached chart 2 for U.S. public debt since 1790). Is it because generations of politicians failed to realize that they could have kept spending without risk? Or, more likely, is it because at some point, even advanced economies hit a ceiling where the pressure of rising borrowing costs forces policy makers to increase tax rates and cut government spending, sometimes precipitously, and sometimes in conjunction with inflation and financial repression (which is also a tax)?