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The Math Formula That Lead To the Financial Crash
New submitter jools33 writes "The BBC has a fascinating story about how a mathematical formula revolutionized the world of finance — and ultimately could have been responsible for its downfall. The Black-Scholes mathematical model, introduced in the '70s, opened up the world of options, futures, and derivatives trading in a way that nothing before or since has accomplished. Its phenomenal success and widespread adoption lead to Myron Scholes winning a Nobel prize in economics. Yet the widespread adoption of the model may have been responsible for the financial crisis of the past few years. It's interesting to ponder how algorithms and formulas that we work on today could fundamentally influence humanity's future."
Interesting, but really, blaming the seed on Jack looting the giant's castle? I used to write risk analysis software for the traders and market makers at the options exchange in Chicago (CBOE) and am intimately familiar with Black-Scholes algorithm (I've implemented it more than once). In the article, the sub-text to one photo, "Options allow a trader to have a delicious risk-free portfolio", is totally bogus! Options allow a trader to MINIMIZE the risk in their portfolios, and BS (no pun intended) helps traders to do that in a mathematically/statistically rigorous way. Misuse of any tool (using a hammer to kill someone, for example) is not the tool's fault, but the wielder of the tool!
-Rubberman
The real problem is that the "solution" - bailing out of the banks by the governments that were the source of the problem, is no real solution. It creates a delay. And while a delay was certainly necessary once they let it become as bad as it became, it will just repeat. A lot of Hedge funds are going to become rich - again.
Solving the problem would take a prolonged crash that lasts - well lasts until the system rebalances. That sounds cute in theory but in practice it means that it must last until the baby boomer retirees (a big portion of them) are dead. It also means Obama and the democrats have chosen very close to the worst moment in the nation's history for their national healthcare. It will be a disaster much sooner than even the worst of the republicans projected. It will become a disaster in the next 3 years.
And nobody can really do anything at this point - well I guess baby boomers could commit suicide in large numbers but ... - it's like watching a ship about to crash from the top of it's deck. There's nothing to do but watch. If you're a hedge fund manager you play a few games betting on the ship crashing while the captain assures everyone everything's fine and the ship is unsinkable.
This situation also means the real crash hasn't come yet. It will happen not this year but by the end of next year.
The same can be said for pretty much advance in science in the last 50 years. If you're truly interested in what can and cannot be predicted - given correct models, there's a science studying that, complexity theory.
But from finance over climate to even whether the planets will keep turning - all are too complex to be predicted, even though science has advanced to the point where individual events can be predicted short times in advance with near-certainty. However there's obvious things that can't be predicted. If the moon decides to crash into the earth, we will know in advance - but only a few weeks at the most. Yes, really.
In some ways this was inevitable. Science has moved from predicting individual events, like say a car collision, or physical changes happening inside an extremely well-described cloud, a single rational decision taken by someone considering a bank loan - to predicting the global effects of an undefined number of such interactions combined. The answer coming out of all this is rather disappointing : it's not working - and it isn't working any better outside of finance either. The mathematician's answer, chaos theory, is thoroughly disappointing : there is no valid way to make useful long-term predictions of any system more complex than X (btw: you want a nobel prize ? find what X is exactly) which does not require omniscience (which for any real world prediction would effectively be all the information that exists anywhere in the universe)
So the real question changes - if you require proof we can essentially predict nothing. If you even require valid inputs to statistical functions we can essentially predict nothing. Barely any recent science follows from first principles, except perhaps in Mathematics. Physics makes a good-hearted attempt, but it has to violate the first-principles - it's attempting to discover new ones. Every other science never even attempts to work from first principles, it just doesn't work.
Finance - the models only work when you assume decisions don't interact in the short term (ie. nobody decides to either sell a house or forestall selling it because of anything that happens that doesn't directly affect that loan. If this is true, then the financial crisis was impossible (yet also inevitable)). And of course the basic economic assumption - that everyone takes the rational course of action immediately - no matter how complex the logic, and irrespective of any personal convictions.
Climate - energy balance only has to sum up if you assume the entropy of the system is negligible, or if you work on infinite time-scales. Needless to say, infinite time scales are a bit long for practical usage. Entropy within our atmosphere is anything but negligible. The second big assumption made in climate science is that small portions of the atmosphere behave identical to large portions of the atmosphere.
Planets - planet's orbits only behave the way you're taught in school if they followed Newton. But that's not the worst assumption. The other assumption necessary to make Kepler work is that planetary orbits are independent, and no objects with mass can possibly cross into orbits (and obviously that orbits don't cross)
All these assumptions can be proven to be wrong - and rather trivially.
In one case this can be shown. Planetary orbits are extremely, extremely regular in the short term. This was useful for sea-faring when it was discovered as it provided a very accurate source of timing. And we still have the books from those days describing how those measurements worked. We still have books describing how to find a ship's position on earth by measuring the orbits of Jupiter's moons ... only they yield incorrect results. You might chalk that up to bad measurements, but that can't be : if the methods were truly useless, they would never have been written down. Plus we can correct the measurements so they work again. No, the reason is much simpler : Jupiter's moons have shifted so much over the course of 300 years that those me
FRAUD ALERT: It was not a mathematical model that caused the problem. It was fraud. Financial organizations convinced investors that they had a "mathematical model" so that they could steal. The theft was ENTIRELY deliberate, as is described in detail in the 1997 book F.I.A.S.C.O.: Blood in the Water on Wall Street, by Frank Partnoy. Somehow the issues were kept quiet for 11 more years until the theft could be completed in the 2008 financial crash. Traders called their work "ripping the client's face off" .
There are other editions of the book, such as this one published in 1999, Fiasco: The Inside Story of a Wall Street Trader, and a 2009 I-told-you-so edition of the original name.
Nothing has been done to reform the extremely corrupt financial system in the United States. No one in the SEC, U.S. Securities and Exchange Commission, the government organization that is supposed to police financial fraud, was prosecuted, even though the agency knew of the abuses. See the February 17, 2009 show Frontline: Inside the Meltdown.
Even though the U.S. dollar is experiencing rampant inflation in 2012, U.S. banks give less than 1% interest on savings. Those who would like to invest can't because the system is so corrupt it cannot be trusted. Corporations hold unprecedented amounts of cash. See, for example, the October 7, 2010 Washington Post article, U.S. companies buy back stock in droves as they hold record levels of cash.
F.I.A.S.C.O. stands for "Fixed Income Annual Sporting Clays Outing" (See page 100 of the 2009 edition.), held at a shooting range called "Sandanona, a club in upstate New York" (Page 97 of the 2009 edition). Traders would go there to shoot guns. The idea was to encourage their taste for violence so that they would be even more financially violent toward the customer.
Perhaps the April 27, 2012 BBC article, Black-Scholes: The maths formula linked to the financial crash referenced in this Slashdot story was influenced by public relations agencies trying to get people to believe that the crash was caused by errors in mathematical thinking, and not by fraud, so that the financial industry can continue stealing.
It would be helpful if Slashdot editors signed a statement about each story saying that they know of no conflict of interest, and no one was paid to run the story.