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Limitations of computer models [system error for quants]
Financial Times ^ | 8/14/2007 | Gillian Tett and Anuj Gangahar

Posted on 08/14/2007 9:25:31 PM PDT by bruinbirdman

In recent years, Goldman Sachs has become renowned as one of the savviest players on Wall Street. This week, however, the mighty US bank was forced into an embarrassing admission.

In a rare unplanned investor call, the bank revealed that a flagship global equity fund had lost over 30 per cent of its value in a week because of problems with its trading strategies created by computer models. In particular, the computers had failed to foresee recent market movements to such a degree that they labelled them a “25-standard deviation event” – something that only happens once every 100,000 years or more.

“We are seeing things that were 25-standard deviation events, several days in a row,” said David Viniar, Goldman’s chief financial officer. “There have been some issues [before] in some of the other quantitative spaces, but nothing like what we saw last week.”

By any standards, it is a striking admission, given that these losses at the Goldman fund could top $1.5bn (£750m, €1.1bn). But what is more startling still is that Goldman Sachs is not alone in seeing its models go haywire. On the contrary, in recent days a host of other funds have experienced similar difficulties, including highly renowned funds at Renaissance Technologies.

James Simons, founder of Renaissance and one of the most respected quantitative fund managers, last week wrote a letter to investors saying losses were about 9 per cent in the first few days of August (the funds have since recovered at least some of the losses). He also tellingly wrote that “we cannot predict the duration of the current environment,” highlighting the fact that even a group such as Renaissance – whose flagship fund, Medallion, has had an annual return of 30 per cent since 1988 – is suffering badly from recent movements.

Other big-name funds that have been hit include Highbridge Capital (controlled by JPMorgan), DE Shaw, AQR Capital and Barclays Global Investors – as well as funds run by groups such as Lehman Brothers. “Models (ours including) are behaving in the opposite way we would predict and have seen and tested for over very long time periods,” said Lehman Brothers last week.

A glance at recent financial history shows that this type of “rare” event is not so unusual at all. Back in 1998, for example, a key reason for the near-implosion of Long Term Capital Management was that the fund’s economic whizzkids – who included some Nobel prize-winning economists – had devised model-based trading strategies that turned sour when markets moved in unforeseen ways. Similarly, two years ago the financial industry received a shock when General Motors, the US car group, was downgraded – a move that left the price of financial assets gyrating in relation to each other in ways computers had not predicted.

The question now being asked by some bankers – and regulators – is whether this week’s events show that the modern financial industry is foolish to be placing so much faith in these complex computer-driven models.

“People say these are one-in-a-100,000-years events but they seem to happen every year,” says Satyajit Das, a consultant to hedge funds and investment banks. “This episode should make people ask questions about models – I think it could lead to a real reassessment.”

Any such reassessment could have far-reaching consequences. The spread of financial models is at the heart of the growth of modern banking. Indeed, were it not for modern computing power, this decade’s remarkable explosion in finance would not have occurred at all.

The roots of this revolution go back to the 1970s, when computers became small and flexible enough to be easily used by bankers – and bright minds in the world of economics started to move into finance. Initially, their techniques were mostly used to help asset managers decide which equities to buy. But in the 1980s, bankers started to use these tools to analyse complex debt securities, a development that later enabled them to create, price and trade instruments such as derivatives.

This decade, the use of models has moved on to a whole new plane. As computing capabilities increased and global markets became more closely integrated, asset managers started relying on models to track asset prices and detect tiny anomalies that a human eye might struggle to see. Initially, people then traded on these anomalies; but soon they started using computers not just to spot anomalies but to execute trades too. Computers are thus now using models to make trades – and often trading with other computers – with barely any human intervention.

This shift has delivered many powerful benefits for finance. Trading by computer is cheaper than using humans and can be quickly expanded in scale. It tends to be more consistent, since machines – unlike people – never get tired. More important still, computers can trade faster than humans, which is crucial when investment groups are racing one other to exploit tiny price differentials.

As a result, computer-driven trading has proliferated, particularly in markets such as equities that tend to be readily accessed and highly liquid. In many cases, these strategies have delivered excellent investor results, as highlighted in Mr Simons’ letter.

But while computers are often able to operate better than humans in “normal” markets, this month’s events demonstrate that during times of stress they have some crucial flaws. One problem is that models typically predict the future on the basis of past data. This can lead to distortions, given the speed at which the financial industry is currently evolving. Indeed, many of the instruments at the heart of the current credit storm barely existed before this decade – which means that computers can only model these markets based on the benign conditions of the past few years.

Another big problem is that computer models do not always take account of the way that their own behaviour is affecting markets. The essential danger, as Donald Mackenzie, a British finance professor, points out, is a tendency to view models as “cameras”, snapping pictures of market movements. However, models are now so widely used that they often drive markets as well, Mr Mackenzie says, which means they are probably better viewed as an “engine”. “The emergence of modern economic theories of finance [have] affected markets in fundamental ways . . . models are not simply external analyses but intrinsic parts of economic processes,” he notes.

In practical terms, this means that when models evaluate markets, they often fail to recognise how their own behaviour is distorting prices. Take the case of Amaranth, the hedge fund that imploded with $6bn of losses last year. Before this collapse, Amaranth was so dominant in the natural gas market that when it bought it tended to push up prices. These prices were then used in models that calculated Amaranth’s trading risk.

But when Amaranth was forced to sell, gas prices collapsed much faster than any model might have predicted. Although Amaranth itself was not trading on the basis of models, this pattern of events can be doubly dangerous for asset managers using computer-driven programmes, for these computers have a nasty habit of all using similar strategies – partly because they are created by humans who have studied at the same institutions. Thus they can all dash for the exits at the same time.

The issue of computer “herding” appears to be a key factor behind this month’s problems at the Goldman Sachs funds and others. Although aspects of this saga are still unknown, it appears to have started a few weeks ago when some large investment managers suffered losses on subprime securities. This prompted investment banks to demand that hedge funds post more cash against their trades – which in turn forced these funds to sell assets.

However, since subprime securities were hard to trade, the forced sales occurred in other, more liquid markets such as equities. The consequence was a wave of triggered price movements that seemed utterly “irrational”, according to models. Last week, for example, the stock price of some highly valued companies suffered in relation to lowly-rated stocks such as US homebuilders. This appears to have been particularly devastating for the computer strategies used by Goldman’s fund, since such programmes typically assume that low-rated stocks will perform badly in a credit crunch.

Since then, many of these extreme market swings have corrected themselves. Consequently, many of the so called “quants” (experts in quantitative models) who work in the financial industry insist that it is premature to criticise all these strategies. After all, they point out, the vast majority of models that are used in the markets work perfectly well. Moreover, efforts are under way to address problems such as the “feedback loop”, or danger of computer herding. One key focus of some banks, for example, is the search for ways to apply research in the field of artificial intelligence, or neural networking, to financial models. This, they hope, will enable them to “learn” from mistakes and bouts of irrationality – and thus perform better at times of market stress.

“Academic research has been shifting to some degree from a focus on ‘efficient market’ theories to focus more on ‘inefficient market’ theories [and] there is an increased recognition of inefficient market trading strategies,” says Colm Fitzgerald, head of quantitative trading at the Bank of Ireland. “Investors in funds with strategies based on the latter models are not likely to be currently facing any trouble.”

Nevertheless, whether these new “super-intelligent” models will do better remains to be seen. “Bankers talk about self-learning models, with neural networks and things, but a lot of that is hogwash,” says Mr Das.

Consequently, the lesson that some bankers and policymakers may yet draw from this month’s events is arguably the simplest: namely that it could be time to reinsert humans into the trading process. One way to do this would be to improve risk management functions; another key step is to ensure that banks have the ability to switch off the models during times of stress. “Anyone using a human brain, rather than algorithms, could have made money in recent days in the equity markets,” chuckles one banker. One unexpected winner from this month’s market turmoil, in other words, may be a newfound appreciation of human intuition – and old-fashioned common sense.


TOPICS: Business/Economy; Culture/Society; Miscellaneous; News/Current Events
KEYWORDS: 25standarddeviation; computerdrivenmodels; every100000years; feedbackloop; quants; sporkweasels
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1 posted on 08/14/2007 9:25:34 PM PDT by bruinbirdman
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To: bruinbirdman

25-standard deviation event” – something that only happens once every 100,000 years or more.


Yeah, right. Some $500K/year PhD trying to cover his ass.


2 posted on 08/14/2007 9:29:14 PM PDT by rbg81 (DRAIN THE SWAMP!!)
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To: bruinbirdman; ShadowAce

Lost $1.5bn? Blame the computer.


3 posted on 08/14/2007 9:31:40 PM PDT by stainlessbanner
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To: stainlessbanner
Models? Computerized trading?

What ever happened to the human brain?
Live by the sword..

4 posted on 08/14/2007 9:34:49 PM PDT by Publius6961 (MSM: Israelis are killed by rockets; Lebanese are killed by Israelis.)
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To: bruinbirdman

What’s happening is pretty simple: The stock market is in a closed feedback loop with the models. What’s that mean?

Take the stock market from its start up until today. You can make a great model that “predicts” every event in the whole thing based on past data for each point. Use that to predict the future. Won’t work long. Why? Because a lot of other big players have similar models, which in turn change the way the market operates, which eventually invalidates those models due to various types of feedback.

In other words, the 25-SD events don’t mean the market’s broken, they mean the market’s changed due to the feedback effect.

In fact, it’s mathematically provable that you can NEVER build a complete model that will work out into the future for this type of system because once you do (or rather get close to doing so) and it becomes part of the system, the feedback will force an out-of-model behaviour.

(Maybe not well stated, but I’m tired — it’s Miller time.)


5 posted on 08/14/2007 9:38:05 PM PDT by piytar
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To: bruinbirdman

Computer models are only as good as the data they’re based on. GIGO (garbage in, garbage out).

So what do these bright young bucks do? Leave the computers on auto-pilot while they summer in the Hamptons?


6 posted on 08/14/2007 9:38:10 PM PDT by LibFreeOrDie (L'Chaim!)
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To: Publius6961
Ripe for hackers I would imagine.

Well, every 100,000 years or so.

“People say these are one-in-a-100,000-years events but they seem to happen every year...”

Kinda Biblical. "100,000 years is as 365 days"

This stuff is over my head...

7 posted on 08/14/2007 9:38:45 PM PDT by Syncro
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To: piytar

I’d say you’ve pretty-much nailed it. Well done.


8 posted on 08/14/2007 9:40:10 PM PDT by Petronski (imwithfred.com)
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To: piytar
Last para should have been:

In fact, it’s mathematically provable that you can NEVER build a complete model that will work infinitely far (or even really far) out into the future for this type of system because once you do (or rather get close to doing so) and it becomes part of the system, the feedback will eventually force an out-of-model behaviour.

9 posted on 08/14/2007 9:41:21 PM PDT by piytar
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To: bruinbirdman

Breaks down to computers can’t anticipate real life.


10 posted on 08/14/2007 9:41:54 PM PDT by TASMANIANRED (Taz Struck By Lightning Faces Battery Charge)
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To: Petronski

Thanks...


11 posted on 08/14/2007 9:42:05 PM PDT by piytar
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To: bruinbirdman; All
... something that only happens once every 100,000 years or more.

But happened real quick-like. As they say, back to the drawing board.

12 posted on 08/14/2007 9:47:10 PM PDT by dighton
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To: piytar

Further compounding the model problem is that while it is a closed feed back loop, it is an open system and influenced by external factors. The inputs of today are not going to be the same inputs as tomorrow.

I’m not totally against computer model ... but business types and often computer types don’t understand the limitations of the systems like math types.... and there is the first step to a failure.


13 posted on 08/14/2007 9:49:33 PM PDT by taxcontrol
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To: piytar

What you said reminded me of Goedel.


14 posted on 08/14/2007 9:52:00 PM PDT by Moonman62 (The issue of whether cheap labor makes America great should have been settled by the Civil War.)
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To: piytar

Your explanation could be the reason “why” the article speaks to neural networks, whihc would seem to me to mean that all the models are interconnected and marching to the same song.


15 posted on 08/14/2007 9:58:55 PM PDT by padre35 (Conservative in Exile.)
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To: bruinbirdman

“The dog ate my homework” will now be “the computer ate my billion.”


16 posted on 08/14/2007 10:07:05 PM PDT by TrueKnightGalahad (Your feeble skills are no match for the power of the Viking Kitties!)
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To: piytar
Looks like that 25D got sucked into the norm again. Deja vu? The confusers are so fast, they probably don't know what a 25D is. It is part of the norm in nano seconds.

"Medallion, has had an annual return of 30 per cent since 1988 – is suffering badly from recent movements."

30%/yr for 19 years leaves quite a profit to take a hit on.

So, it takes my house 5 years to double in value, free money. I am not sad when the market price falls 12% in 3 months. yitbos

17 posted on 08/14/2007 10:09:23 PM PDT by bruinbirdman ("Those who control language control minds." -- Ayn Rand)
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To: piytar

Why of course. The stock market, after the original sales of the stock, is a game of trying to outbet everybody else in real time. Earlier buyers hope to make money off of later buyers (because, of course, they expect to sell sometime), the winners make money off the losers.


18 posted on 08/14/2007 10:14:23 PM PDT by HiTech RedNeck
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To: bruinbirdman

“It tends to be more consistent, since machines – unlike people – never get tired.”

Wrong. Computers don’t have emotions and their trading is strictly based on Technical Analysis. The normal trader will allow emotions in and sell when he should be buying or vice versa. A good trader sets the rules and should be like a machine in carrying them out.


19 posted on 08/14/2007 10:19:30 PM PDT by jwh_Denver (http://www.youtube.com/watch?v=1k08yxu57NA&NR=1)
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To: bruinbirdman

Self referencing systems are generally chaotic - nearly anything can happen at any given moment. (”Godel, Escher & Bach”). I guess the rich madmen/institutions using emancipated computers for trading are like nukes with random timers in the center of our economy. We had better slow them down! Let humans and computers trade in entirely different markets, with no cross overs. I know, cannot happen, but it would be interesting to see what the outcome would be.


20 posted on 08/14/2007 10:23:08 PM PDT by GregoryFul (how'd that get there?)
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