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By STEVE LOHR

Wall 1

IN the aftermath of the great meltdown of 2008, Wall Street’s quants have been cast as the financial engineers of profit-driven innovation run amok. They, after all, invented the exotic securities that proved so troublesome.

But the real failure, according to finance experts and economists, was in the quants’ mathematical models of risk that suggested the arcane stuff was safe.

The risk models proved myopic, they say, because they were too simple-minded. They focused mainly on figures like the expected returns and the default risk of financial instruments. What they didn’t sufficiently take into account was human behavior, specifically the potential for widespread panic. When lots of investors got too scared to buy or sell, markets seized up and the models failed.

That failure suggests new frontiers for financial engineering and risk management, including trying to model the mechanics of panic and the patterns of human behavior.

“What wasn’t recognized was the importance of a different species of risk — liquidity risk,” said Stephen Figlewski, a professor of finance at the Leonard N. Stern School of Business at New York University. “When trust in counterparties is lost, and markets freeze up so there are no prices,” he said, it “really showed how different the real world was from our models.”

In the future, experts say, models need to be opened up to accommodate more variables and more dimensions of uncertainty.

The drive to measure, model and perhaps even predict waves of group behavior is an emerging field of research that can be applied in fields well beyond finance.

Much of the early work has been done tracking online behavior. The Web provides researchers with vast data sets for tracking the spread of all manner of things — news stories, ideas, videos, music, slang and popular fads — through social networks. That research has potential applications in politics, public health, online advertising and Internet commerce. And it is being done by academics and researchers at Google, Microsoft, Yahoo and Facebook.

Financial markets, like online communities, are social networks. Researchers are looking at whether the mechanisms and models being developed to explore collective behavior on the Web can be applied to financial markets. A team of six economists, finance experts and computer scientists at Cornell was recently awarded a grant from the National Science Foundation to pursue that goal.

“The hope is to take this understanding of contagion and use it as a perspective on how rapid changes of behavior can spread through complex networks at work in financial markets,” explained Jon M. Kleinberg, a computer scientist and social network researcher at Cornell.

At the Massachusetts Institute of Technology, Andrew W. Lo, director of the Laboratory for Financial Engineering, is taking a different approach to incorporating human behavior into finance. His research focuses on applying insights from disciplines, including evolutionary biology and cognitive neuroscience, to create a new perspective on how financial markets work, which Mr. Lo calls “the adaptive-markets hypothesis.” It is a departure from the “efficient-market” theory, which asserts that financial markets always get asset prices right given the available information and that people always behave rationally.

Efficient-market theory, of course, has dominated finance and econometric modeling for decades, though it is being sharply questioned in the wake of the financial crisis. “It is not that efficient market theory is wrong, but it’s a very incomplete model,” Mr. Lo said.

Mr. Lo is confident that his adaptive-markets approach can help model and quantify liquidity crises in a way traditional models, with their narrow focus on expected returns and volatility, cannot. “We’re going to see three-dimensional financial modeling and eventually N-dimensional modeling,” he said.

J. Doyne Farmer, a former physicist at Los Alamos National Laboratory and a founder of a quantitative trading firm, finds the behavioral research intriguing but awfully ambitious, especially to build into usable models. Instead, Mr. Farmer, a professor at the interdisciplinary Sante Fe Institute, is doing research on models of markets, institutions and their complex interactions, applying a hybrid discipline called econophysics.

To explain, Mr. Farmer points to the huge buildup of the credit-default-swap market, to a peak of $60 trillion. And in 2006, the average leverage on mortgage securities increased to 16 to 1 (it is now 1.5 to 1). Put the two together, he said, and you have a serious problem.

“You don’t need a model of human psychology to see that there was a danger of impending disaster,” Mr. Farmer observed. “But economists have failed to make models that accurately model such phenomena and adequately address their couplings.”

When a bridge over a river collapses, the engineers who built the bridge have to take responsibility. But typically, critics call for improvement and smarter, better-trained engineers — not fewer of them. The same pattern seems to apply to financial engineers. At M.I.T., the Sloan School of Management is starting a one-year master’s in finance this fall because the field has become too complex to be adequately covered as part of a traditional M.B.A. program, and because of student demand. The new finance program, Mr. Lo noted, had 179 applicants for 25 places.

In the aftermath of the economic crisis, financial engineers, experts say, will probably shift more to risk management and econometric analysis and concentrate less on devising exotic new instruments. Still, the recent efforts by investment banks to create a trading market for “life settlements,” life insurance policies that the ill or elderly sell for cash, suggest that inventive sales people are browsing for new asset classes to securitize, bundle and trade.

“Good or bad, moral or immoral, people are going to make markets and trade via computers, and this is a natural area of financial engineers,” says Emanuel Derman, a professor at Columbia University and a former Wall Street quant.

26 Responses to “Wall Street’s Math Wizards Forgot a Few Variables”

  1. Madwater 说:

    申请

  2. Ent 说:

    我不懂数学……你们敢让我翻么……

    • Ent 说:

      细看一下,还好,经济学为主,专业词不是太多。要是没专业人士要的话,我拿来试试?

      • xyz 说:

        让给我吧,从七点等到现在了,还用手机连的,万分感激……

        • Ent 说:

          ……好像你比我还可怜……我只是从7点半才开始等……那你拿吧-_-b

  3. xyz 说:

    我想翻啊

  4. xyz 说:

    这里回复时间可以篡改的吗?有漏洞啊

  5. 阿塔 说:

    我第一次发的时候也是等了很久才审核通过的
    当然我第一次抢稿的时候也是很久才看到第一个回复的…

  6. xyz 说:

    怎么会有这种事情啊,太浪费感情了,哭……

  7. 穆萨 说:

    什么时候能给我一篇

  8. xyz 说:

    希望以后不要再出现这样的情况了,公平竞争没有问题,摆在台面上大家商量也是可以的,但是这种因为后台操作上的问题就实在讲不清楚了,到现在也没有一个比较正式的解释,感觉像是被耍了一顿,总觉得不是很舒服,期望论坛对每一个成员有足够的尊重,谢谢

    • sunny0302 说:

      对不起,让你等了那么久也没有抢到,确实会有些遗憾的。
      但是如果你问抢小红猪的大家,肯定都有过类似的经历,我自己就有好几次是刷个牙回来发现已经没了,只好继续回去再睡……呵呵,其实我觉得这样的过程本身也很刺激好玩的。
      至于作弊,是绝对不会发生的事情。为了一篇稿件而伤害支持松鼠会和小红猪的大家,这样的买卖太不值得了。
      所以,欢迎下周继续加入“战争”,抢到的成就感那可不是说的

      • xyz 说:

        呵呵,没关系,不过顺便问一下,因为许久没来了,现在小红猪不是桔子负责了?

        • sunny0302 说:

          志愿者们紧密地团结在以桔子、红猪为核心的组中央……
          桔子看护全局,我们完善细节,呵呵

        • Madwater 说:

          你的心情我理解,但是我也同样等了很久,而且很长时间我的留言都没有通过审核,后面的评论却不断更新,担心也应该是我担心才对。

          • 最后谁抢到稿子是以留言时间为准的,不是以通过时间。这就是为什么许多时候以为自己抢到了的人却被“后来居上”……所以不用担心这个问题,你要是最早留言的,一定是你。

          • Madwater 说:

            那劳烦帮主或帮内长老将稿件发给在下~~~^_^

  9. Madwater 说:

    难道还是没看到?
    这个帖子都快沉了。。我还没收到文章
    liberty.wang@gmail.com

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