Saturday, November 24, 2007

SSRN-Why We Have Never Used the Black-Scholes-Merton Option Pricing Formula (third version) by Espen Haug, Nassim Taleb

So the option pricing formula everyone is using isn't really Black-Scholes, and all they really did was market a well-known formula that already existed.

Similar to the lightbulb, which Edison didn't invent, or the car, which Ford didn't create, Black-Scholes-Merton have apparently created a mask of illusion that they derived the magic formula for pricing options.

And did they fool the Nobel committee?  How many other Nobel prize winners were actually just good marketers?  The guy who invented the lobotomy?  Prize decisions are irreversible so their medals should be safe.

I wonder if Haug and Taleb have a vendetta against these guys - they sure aren't pulling any punches in this essay.  I'm surprised they didn't put any yo mamma insults in there...

Abstract:
Options traders use a pricing formula which they adapt by fudging and changing the tails and skewness by varying one parameter, the standard deviation of a Gaussian. Such formula is popularly called “Black-Scholes-Merton” owing to an attributed eponymous discovery (though changing the standard deviation parameter is in contradiction with it). However we have historical evidence that 1) Black, Scholes and Merton did not invent any formula, just found an argument to make a well known (and used) formula compatible with the economics establishment, by removing the “risk” parameter through “dynamic hedging”, 2) Option traders use (and evidently have used since 1902) heuristics and tricks more compatible with the previous versions of the formula of Louis Bachelier and Edward O. Thorp (that allow a broad choice of probability distributions) and removed the risk parameter by using put-call parity. The Bachelier-Thorp approach is more robust (among other things) to the high impact rare event. The paper draws on historical trading methods and 19th and early 20th century references ignored by the finance literature. It is time to stop calling the formula by the wrong name.

Source: SSRN-Why We Have Never Used the Black-Scholes-Merton Option Pricing Formula (third version) by Espen Haug, Nassim Taleb

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