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Derivatives -- the View from the Trenches

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Theorem 2 and Trading<br />

This tells us that if realised volatility is <strong>the</strong> same as pricing<br />

volatility and if we're gamma short ( VSS<br />

0) and delta neutral<br />

( VS<br />

0) <strong>the</strong>n V<br />

0 and <strong>the</strong>reby<br />

dV VdN E Q [ V ] dt<br />

0<br />

So on a short option book you can sit and collect "jump<br />

premium" and look like an absolute hero -- until a jump<br />

occurs.<br />

This is essentially what is called "picking up pennies in front<br />

of a steam engine" or "<strong>the</strong> trader's option".<br />

No matter how people look at this <strong>the</strong>mselves, this is<br />

essentially <strong>the</strong> strategy that a lot of hedge funds follow.<br />

A couple of spectacular examples:<br />

- The blow up of LOR and portfolio insurance industry in<br />

1987.<br />

- The collapse of CRT in 1987.<br />

- The blow up of LTCM in 1998.<br />

- …<br />

Many of <strong>the</strong>se funds had prominent academics involved, so<br />

following <strong>the</strong> actual disasters we heard a lot of good stories<br />

like<br />

- "19 standard deviation event..."<br />

- "Liquidity squeeze…"<br />

- …<br />

14

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