Quote from Pa(b)st Prime:
A "Black Swan" can be either a totally unanticipated event or an expected event in which risk is under priced.
I'll give you examples.
We all know that options premium works in similar fashion to insurance premium. It's no accident that we hear interchangeable jargon like the word premium itself or the phrase portfolio insurance. Same animal. Deferred OTM strikes represent differing levels of deductibility.
So let's pretend that earthquake insurance is exchange listed (someday it will be). We can assume on the ET Earthquake Exchange that different locales will trade at different prices. We know it will cost more to buy the Los Angeles or Bay Area policy than the Omaha policy. Logical eh?
So how do markets price in the real world?
If L.A. were to have a Northridge quake we'd see uninsured home owners (option buyers) bid up for policies while nervous insurers (premium writers) demand top dollar for coverage. Think of the VIX after 9/11.
Then after several years of no quakes observe how the market dynamic changes. Insurers are banking windfall profits and homeowners become WAY less apprehensive about being uninsured. Suddenly premium buyers think "I should just self insure, I'm pissing away this premium each year" and insurance companies who'd never operated in SoCal think, "we should enter this market and undercut these high premium insurers." Now think VIX, 2007.
The intrinsic risk of an L.A. earthquake hasn't changed at all yet premium prices have fluctuated wildly.
Now here's the Black Swan. Our Omaha contract trades at a very low premo. There's never been a quake there so to a premium writer it's a virtual sure bet to collect even a scant $79 a year on each policy (contract). Out of no where though a 7.2 hits the Missouri River and thousands of homes are destroyed. Unimaginable to the market place.
At the same time a 7.0 hits L.A. Totally imaginable and anticipated to participants but even still it was a Black Swan because the risk was mispriced.
Determining whether FAR out-of-the-money options...
Have been mispriced the last 20 years...
Is TRIVIAL.
I could do it in one weekend...
But so could every serious option trading operation in the world...
So it pointless.
Taleb could provide the numbers...
In 1% of the time it took to write his book...
But CHOOSES not to.
The FAR more interesting question is:
Has market volatility...
Undergone a ** paradigm shift ** due to technology...
And will now be at a permanently lower level...
Or are we just in a routine 3-4 year period of comatose markets?
But I do find "Black Swans" swimming in the OTCBB cesspool every now and then.