Ten Sigma
What actually happened
LTCM's convergence trades were individually tiny edges, leveraged roughly 25-to-1 (far higher including derivatives) into billions. The models assumed markets stay liquid and panics stay local; Russia's default in August 1998 made every 'uncorrelated' position correlate at once, because the common factor was LTCM-style leverage itself.
The fund lost $4.6 billion in weeks. The New York Fed brokered a $3.6 billion private recapitalization: not a bailout with public money, but an admission that one hedge fund's book had become systemic. Merton and Scholes had won the Nobel for the option-pricing mathematics the year before.
Ferguson's framing, kept in the episode: the models weren't wrong about the past. They were only wrong about how much past there was.
The play to remember
Leverage converts being right eventually into being insolvent now. Ten-sigma events are usually one-sigma flaws in the model.
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