The Formula that Killed Wall Street
April 3, 2009 – 11:12 pmThere’s an interesting article in Wired about David Li, a quant who derived the Gaussian copula function, was touted as a lock for the Nobel Prize in Economics, and recently fell from grace due to the roll his function had in the current economic meltdown.
The Gaussian copula function models risks in a different manner, supposedly with greater accuracy. It was quickly adopted by ratings agencies, regulators and the greater financial community. In particular, it was instrumental in the securitization of assets like sub-prime mortgages. More specifically, Li’s function estimates the correlation of defaults in specific tranches, by looking at the movement of credit default swaps in the past. It allowed ratings agencies to assign Triple-A ratings to the “safest” tranches, which have since been found to be overrated. These unrealistic ratings led to lower financing costs (since lower risk or higher safety means lower required compensation for risk and thus lower financing costs) which quickly caught on and helped drive significant economic growth.
In finance, you can never reduce risk outright; you can only try to set up a market in which people who don’t want risk sell it to those who do. But in the CDO market, people used the Gaussian copula model to convince themselves they didn’t have any risk at all, when in fact they just didn’t have any risk 99 percent of the time. The other 1 percent of the time they blew up. Those explosions may have been rare, but they could destroy all previous gains, and then some.
Fast forward a few years, and the limitations of the Gaussian copula function become more obvious as correlations between defaults skyrockets and bankers, ratings agencies and regulators continued to ignore the effects of the assumptions they have made in using Li’s formula and fail to adjust these assumptions to reflect the new economic reality. Li himself warned of the way his model was being used, though these warnings fell on deaf ears. Perhaps if the model’s creator had been listened to, some of the current mess could have been avoided. Anyways, it is a good article that I’d recommend. Enjoy.











