Never mind the economics or the maths, the problem I see in Reinhart and Rogoff is an error of logic. The idea of a 90% threshold is an assumption. It cannot therefore be a conclusion.
I can expose the logic using an old fashioned syllogism:
High debt correlates to low growth
The threshold for high debt is 90%
Therefore 90% debt is the threshold for low growth
If the premises are true so is the conclusion. R&R put a lot of effort into establishing the first premise but none at all into the second. It is an assumption.
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