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if you are levered 10 to 1 and the stock has an implied vol of 10% you only need a 1 SD move to eat all your capital. Viacom is now at 60% implied vol so they could get those losses with a position as small as $10 billion.

That implied vol is annualized. It follows a square-root law, so that daily is something under 4% (60/sqrt(trading days)).

Just curious, is that still true if your model of daily returns isn't gaussian? If prices have intermittent shocks (Ornstein-Uhlenbeck, etc) is the daily vol much higher?

Vol is a parameter in a model as well as an observed statistic. Naturally you can have jump models as well that have other parameters, but normally when we talk about it we mean the observed stat, with a standard normal implied when discussing it. Weirdly I've not often had a conversation where someone talks about alternative models, even though people do use them.

To be fair, Archegos hedged their beta exposure with short index futures. The implied vol includes both the beta vol and the idiosyncratic vol. A hedged position should be a lot less vol than being naked long.

Sothebys | REMOTE & NYC Area | H1B | Full-time | Back-end, Front End, & Fullstack| https://www.sothebys.com/

We are looking for engineers at all levels to help it transform a 300 year old business. We have competitive pay, good benefits and a collaborative culture. For tech we use React, Scala, Go, and Kubernetes in AWS.

Email at alon.honig@sothebys.com for more info